a business purchases a computer system for $2000if the value of the system is modeled by f(x)=2000X0.85

does the function represent a growth or decay model.
by what percent

Answers

Answer 1
The answer would be 1,700abs it represents a decay function by 15%

Related Questions

1+1 I don’t know I’m in 7 th grade

Answers

Answer:

2

Step-by-step explanation:

no explanation needed.

the correct answer is 2.

X follows Poisson distribution. This distribution was randomly sampled 40 times. The sum of these 40 numbers follows
a) Poisson distribution
b) Exponential distribution
c) Weibull distribution
d) Normal distribution

Answers

The sum of these 40 sampled numbers follows option D: normal distribution, if X follows Poisson distribution.

The likelihood that a certain number of events will occur in a specific period of time or space, provided that they do so with a known constant mean rate and the Poisson distribution describes the distribution of events, regardless of the time since the previous event. When the mean is high, the sum of the Poisson distribution resembles a normal distribution.

The "normal distribution," a continuous probability distribution that is symmetrical at the mean and has a bell-shaped curve. It is also known as the bell curve or the Gaussian distribution. Several natural phenomena, including height, weight, blood pressure, and others, have a normal distribution.

To know more about Poisson distribution, refer:

https://brainly.com/question/28044733

#SPJ4

Find the derivative of f(x)=−148x+1−−−−−√7
.

Answers

Answer:  f(x) is -74(x+1/7)^(-1/2)

Step-by-step explanation:

 To find the derivative of f(x), we can use the power rule and the chain rule.

First, let's rewrite f(x) as:

f(x) = -148(x+1/7)^(1/2)

Now, we can apply the power rule:

f'(x) = -148 * (1/2) * (x+1/7)^(-1/2)

Finally, we can use the chain rule:

f'(x) = -148 * (1/2) * (x+1/7)^(-1/2) * 1

f'(x) = -74(x+1/7)^(-1/2)

Therefore, the derivative of f(x) is -74(x+1/7)^(-1/2).

The Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010 established the Consumer Financial Protection Bureau (CFPB). The purpose of the CFPB is to ensure that consumer finance markets work effectively. It provides a forum for consumers to submit their complaints about the services received from financial providers. It also educates consumers about financial matters to help them make sound financial decisions.

Use this consumer credit card market report, published by the CFPB in 2017, to answer the following questions.



Refer to section 1.3.2, Credit scores, on page 22 of the report.

For which two purposes do credit card issuers use credit scores?

Select all the correct answers.

Oto determine the consumer's age and gender

Oto set pricing for rewards programs

O to determine the consumer's eligibility for credit

O to set pricing for late fees

to set pricing for credit lines

to determine the number of credit cards to be issued by a lending company

Answers

The correct answers are: To determine the consumer's eligibility for credit and  To set pricing for credit lines.

what is pricing?

"Pricing" refers to the process of determining the value or cost of a product or service and setting a specific price for it. Pricing decisions involve taking into account various factors such as production costs, market demand, competition, and profit margins, among others. Pricing can also involve setting

In the given question,

Based on section 1.3.2, Credit scores, on page 22 of the report, the two purposes for which credit card issuers use credit scores are:

To determine the consumer's eligibility for credit.

To set pricing for credit lines.

Therefore, the correct answers are:

To determine the consumer's eligibility for credit

To set pricing for credit lines

To know more about pricing , visit:

https://brainly.com/question/19091385

#SPJ1

Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q2 +5q-39, where q
is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in
thousands of dollars, from selling and producing a pairs of sunglasses.
A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your
answer.)
Answer: MP(q)
B) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your
answer to three decimal places.)
Answer:
thousand pairs of sunglasses need to be sold.
C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your
answer to three decimal places.)
=
Answer:
thousand dollars of maximum profits can be expected.

Answers

Solving the quadratic equation, we get the maximum profit is 2451 thousand dollars.

What are quadratic equations?

A second-degree algebraic equation in x is known as a quadratic equation. The quadratic equation is written as Ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

For an equation to be categorised as a quadratic equation, the coefficient of x2 must be a non-zero term (a 0).

The function is given as

P(q) = -0.01q2 +5q-39

We have

P(q) = -0.01q2 +5q-39

Differentiate

So, we have

P'(q) = -0.01q + 5

Set to 0

So, we have

-0.01q + 5

This gives:

-0.01q = -5

Evaluate

q = 500

Hence, 500 thousand pairs of sunglasses should be sold to maximize profits.

What is the maximum profit?

In (a), we have

q = 500

This gives:

P (500) = (-0.01)500×2 +5×500-39

Evaluating:

P (500) = -10 + 2500 -39

= 2451

Hence, the maximum profit is 2451 thousand dollars.

To know more about quadratic equations, visit:

https://brainly.com/question/1214333

#SPJ1

When we solve the quadratic equation, we discover that the utmost profit is $2451 thousand dollars.

What are quadratic equations?

A quadratic equation is an x-dependent second-degree algebraic problem. [tex]ax^{2} +bx+c=0[/tex], where x is the variable, a and b are the coefficients, and c is the constant element, is how the quadratic equation is expressed.

The coefficient of [tex]x^{2}[/tex] must not be negative for an equation to be categorized as a quadratic equation (a, 0).

The function is given as

P(q) = [tex]-0.01q^2[/tex] +5q-39

We have

P(q) = [tex]-0.01q^2[/tex] +5q-39

Differentiate

So, we have

P'(q) = -0.01q + 5

Set to 0

So, we have

-0.01q + 5

This gives:

-0.01q = -5

Evaluate

q = 500

So, in order to make the most money 500 000 sets of sunglasses should be sold.

In (a), we have

q = 500

This gives:

P (500) = (-0.01)500×2 +5×500-39

Evaluating:

P (500) = -10 + 2500 -39

= 2451

Therefore, the highest profit is $2451 thousand dollars.

To know more about quadratic equations, visit:

brainly.com/question/1214333

#SPJ1


Rewrite 300-4 in a different way, using the Commutative Law of Multiplication.
A) 30-40
B) 1200
C) 4.300
D) 3.100-4

Answers

Answer:

3x100-4

Step-by-step explanation:

3x100=300

(3x100)-4

300-4

I need help with this math problem. It’s from the course “Apply Math”.

Answers

The expected value of the gas grill is 6.50 million dollars if a development cost of $4 million is invested.

What is expected value?

The expected value is the sum of all possible outcomes multiplied by their associated probabilities.

The expected value of the gas grill can be calculated as follows:

Expected value = (0.10 × 3) + (0.50 × 6) + (0.40 × 8)

= 0.30 + 3.00 + 3.20

= 6.50 million dollars

Therefore, the expected value of the gas grill is 6.50 million dollar.

This calculation allows investors to decide whether or not to invest in a specific project, as the expected return must be greater than the development cost.

In this case, the expected value of 6.50 million dollars is greater than the development cost of 4 million dollars, making the investment a viable option.

For more questions related to investment

https://brainly.com/question/25300925

#SPJ1

Theodore invests $15,000 into an account at an annual rate of 0.55% simple interest for 36 months.

1) What is the Principal in this scenario?

1) 0.0055
2) 0.55 %
3) $15,000
4) 3
2) What is the interest rate for this account?

1) 0.55 %
2) $15,000
3) 3
4) 0.0055

3) What number do you use to represent the interest rate in the simple interest formula?

1) 0.55 %
2) 3
3) $15,000
4) 0.0055

4) What is the length of time of this investment, in years?

1) 0.55 %
2) 3
3) $15,000
4)0.0055

5) Calculate the simple interest earned on this account.

Answers

3,1,4,2 are the answers in order. however for the last part you need to take A=15,000(1+.55)^3 i believe will get you you’re a see but i would check the formula to make sure

Answer:

1)$15000

2)0.55%

3)0.55

4)3

5)24.75

Step-by-step explanation:

5)1500×0.55×3/100

The circumference of the circular table is 72 π inches. What is the radius of the table

Answers

Answer: 36 inches

Step-by-step explanation:

The formula for the circumference of a circle is 2πr where r is the radius of the circle Therefore 2πr=72π so r=72/2 = 36 inches.

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

Answer:

the values of x are 13 and 1.

Step-by-step explanation:

x - 7 = +√36 or x - 7 = -√36

Therefore,

x - 7 = +6 or x - 7 = -6

=> x = 7 + 6 or x = 7 - 6

=> x = 13 or x = 1

Therefore, the values of x are 13 and 1.

Answer: x = 25

Step-by-step explanation:

(x – 7)2 = 36 (Given)

2(x -- 7) = 36 (Associative Property)

2x - 14 = 36 (Distributive Property)

2x - 14 + 14 = 36 + 14 (Addition Property of Equality)

2x = 50 (Simplification)

2x/2 = 50/2 (Division Property of Equality)

x = 25 (Simplification)

Rieko is making bird houses for a craft fair she has 15 pounds of nails how many bird houses could rieko make if each bird house requires 1/4 pounds of nails

Answers

Rieko can make 60 bird houses if each bird house requires 1/4 pounds of nails and she has 15 pounds of nails.

How many bird houses could rieko make

If each bird house requires 1/4 pounds of nails and Rieko has 15 pounds of nails, we can use the following equation to determine the number of bird houses she can make:

number of bird houses = amount of nails / amount of nails per bird house

Plugging in the given values, we get:

number of bird houses = 15 / (1/4)

Simplifying the right-hand side by dividing 15 by 1/4, we get:

number of bird houses = 60

Therefore, Rieko can make 60 bird houses if each bird house requires 1/4 pounds of nails and she has 15 pounds of nails.

Read more about rates at

https://brainly.com/question/26757196

#SPJ1

Let p and q be prime numbers satisfying

p^3-pq^2=42024

Find the sum of the digits of the product pq.​

Answers

The sum of the digits of the product p×q is 8

Define the prime numbers?

A positive integer bigger than one that can be divided only by itself and by one is referred to as a prime number.

Given that: p³ - pq² = 42024

p (p² - q²) = 42024

Since factors, 42024 = 2³ x 3 x 17 x 103, and p and q are prime numbers, we can see that p must be 3, 17 or 103, We can try each case:

If p = 3 then we have:

3 (9 - q²) = 42024

q² = -13,999

This equation has no real solutions for q, so p cannot be 3.

If p = 17, then we have:

17 (289 - q²) = 42024

q² = -2183

This equation also has no real solutions for q, so p cannot be 17 either.

If p = 103, then we have:

103 (10609 - q²) = 42024

10609 - q² = 408

q² = 10201

q = 101

This equation also has a solution for q = 101, so p = 103

Product of pq = 103×101 = 10403

So, the sum of the digits of the product pq = 1+0+4+0+3 = 8

To know more about prime numbers, visit:

https://brainly.com/question/881160

#SPJ1

A cone has a base area of 24 square inches and a height of 8 inches. What is the area of a cross-section of the cone
that is parallel to the base and 3 inches from the vertex?
The area of the cross-section of the cone that is parallel to the base and 3 inches from the vertex is
Square inches.
Write the answer in friction

Answers

Answer:

Step-by-step explanation:

Cone height  h = 8

Cone base  r = sqrt( 24/pi) = 2.764

AB = h - 3 = 5

BC = 5 / tan(β) = 1.727

FB = FC - BC = 1.036482449           ( FB is the radius of cross-section circle)

Area of a cross-section is:  (FB)2 * pi = 3.375 in2

An account pays 2.4% compounded monthly. Suppose you invest $150 a month for 8 years, then leave the money in the account, without making additional payments, for another 12 years. a. How much will you have at the end of the 20 years? b. How much interest did you earn?

Answers

If yοu invest $150 a mοnth fοr 8 years, then leave the mοney in the accοunt, withοut making additiοnal payments, fοr anοther 12 years.

a) Yοu will have  yοu will have apprοximately $59,073.95 at the end οf 20 years.$59,073.95 at the end οf 20 years.

b) Earned apprοximately $26,673.95 in interest οver the 20-year periοd.

What Is the Future Value οf an Annuity?

The wοrth οf a series οf recurrent payments at a specific future date, assuming a specific rate οf return, οr discοunt rate, is the future value οf annuity.

Let's first calculate the tοtal number οf mοnths in 20 years:

20 years x 12 mοnths/year = 240 mοnths

a. we can use the fοrmula fοr the future value οf an annuity:

[tex]FV = PMT x (((1 + r/n)^(n*t) - 1) / (r/n))[/tex]

where:

PMT = the mοnthly payment ($150)

r = the annual interest rate (2.4% οr 0.024)

n = the number οf times the interest is cοmpοunded per year (12)

t = the tοtal number οf years (20)

FV = 150 x (((1 + 0.024/12)^(12*20) - 1) / (0.024/12))

FV ≈ $59,073.95

Therefοre, yοu will have apprοximately $59,073.95 at the end οf 20 years.

b. Tο calculate the amοunt οf interest yοu earned, we can subtract the tοtal amοunt οf mοney yοu invested frοm the future value:

Interest = FV - Tοtal amοunt invested

Interest = $59,073.95 - ($150 x 12 x 8 x 12)

Interest ≈ $26,673.95

Therefοre, yοu earned apprοximately $26,673.95 in interest οver the 20-year periοd.

To know more about Future Value of an Annuity visit,

https://brainly.com/question/27011316

#SPJ1

ssume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1800 fish. Absent constraints, the population would grow by 180% per year.

If the starting population is given by
p
0
=
100
, then after one breeding season the population of the pond is given by

p
1
=


After two breeding seasons the population of the pond is given by

p
2
=

Answers

he is literally hitting the gritty

Find the polynomial that represents the area of the square

Answers

The polynomial expression that represents the area of the given square is: 4x² + 28x + 49

What is the area of the square?

The formula for the area of a square is expressed as:

Area = side * side

Now, we are given the dimensions of the square and we have:

Side length = x + 7 + x = 2x + 7

Thus:

Area of square = (2x + 7) * (2x + 7)

= 4x² + 14x + 14x + 49

= 4x² + 28x + 49

Thus, we conclude that expression represents the area of the square.

Read more about Square area at: https://brainly.com/question/25092270

#SPJ1

x – 19 ≤ 81, if x = 110

Answers

The inequality x - 19 ≤ 81 is not satisfied when x = 110.

What is inequalities?

In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal. It is a statement that compares two values, usually using one of the following symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).

The given inequality is X – 19 ≤ 81, and we are asked to evaluate it when X = 110. To do so, we substitute X with 110 and simplify the expression. In this case, we get 110 - 19 ≤ 81, which simplifies to 91 ≤ 81. Since this statement is false, we conclude that the inequality X – 19 ≤ 81 is not satisfied when X = 110.

we can substitute x = 110 and simplify:x - 19 ≤ 81

110 - 19 ≤ 81

91 ≤ 81

This statement is false, since 91 is not less than or equal to 81.

Therefore, the inequality x - 19 ≤ 81 is not satisfied when x = 110.

To learn more about inequalities from the given link:

https://brainly.com/question/30231190

#SPJ1

PLEASE HELP!!

x^2=7y-4+9x^2

Answers

Let's try to solve for y in terms of x.

First, we can simplify the equation by bringing all the x^2 terms to one side and all the constant terms to the other side:

x^2 - 9x^2 = 7y - 4

Simplifying further:
-8x^2 = 7y - 4

Dividing both sides by 7:
y = (-8/7)x^2 + 4/7

So the equation of the graph of this function is a downward opening parabola with a vertex at (0, 4/7) and a coefficient of -8/7.

help i forgot how to do this

Answers

1. The angle between the hypotenuse and the base is approximately 90 - 23.6 = 66.4 degrees. 2. the angle between the hypotenuse and the perpendicular is approximately 90 - 62.3 = 27.7 degrees.

Describe Cosine?

In trigonometry, cosine (cos) is a trigonometric function that relates the adjacent side and the hypotenuse of a right triangle. It is defined as the ratio of the adjacent side to the hypotenuse. The cosine function is periodic with a period of 360 degrees or 2π radians, and it has a range of values between -1 and 1.

In other words, if we have a right triangle with an angle x, then the cosine of x is equal to the length of the adjacent side of the triangle divided by the length of the hypotenuse.

1.In a right-angled triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. Therefore, cos(x) = adjacent/hypotenuse = 37/39.

Using inverse cosine function on a calculator, we get x ≈ 23.6 degrees.

Therefore, the angle between the hypotenuse and the base is approximately 90 - 23.6 = 66.4 degrees.

2. Again, using the definition of cosine, we have cos(x) = adjacent/hypotenuse = 8/17.

Using inverse cosine function on a calculator, we get x ≈ 62.3 degrees.

Therefore, the angle between the hypotenuse and the perpendicular is approximately 90 - 62.3 = 27.7 degrees.

To know more about angle visit:

https://brainly.com/question/27594255

#SPJ1

Mr Lim, Mr Bell and Mrs Walker paid for a meal. Mr Lim paid 1/5 of the amount Mr Bell and Mrs Walker paid together. Mr Bell paid 1/4 of the amount Mr Lim and Mrs Walker paid. A) What fraction of the total cost of the meal did Mrs Walker pay?

Answers

As a result, Mrs. Walker contributed a portion of the overall cost of the supper, which is: 400/61 - (16B + 25L) / (61C) (61C)

what is fraction ?

A fraction is a number that in mathematics represents a portion of a whole. It consists of a horizontal line between the numerator and denominator of two numbers. The denominator is the total number of equally sized components that make up the whole, whereas the numerator is the number of parts that are being taken into account. As an illustration, the fraction 3/4 denotes three of the four equal pieces. The denominator, 4, indicates that the entire is divided into four equal parts, while the numerator, 3, indicates that three parts are being taken into consideration.

given

Payment to Mr. Lim:

1/5(B + W) = (B + W)/5

Payment to Mr. Bell:

1/4(L + W) = (L + W)/4

These equations can be combined to find the value of W, or the amount Mrs. Walker paid:

(L + W)/4 + W + (B + W)/5 = C

To get rid of the fractions, multiply both sides by 20, which is the least common multiple of 5 and 4. This gives us:

20W + 4(B + W) + 5(L + W) = 20C

By enlarging and condensing, we obtain:

20C = 4B + 4W + 5L + 5W + 20W

9W + 4B + 5L = 20C

Now, we may change the expressions for the payments made to Mr. Lim and Mr. Bell to:

9W plus 4 (1/5 B + W) plus 5 (1/4 L + W) equals 20C.

If we simplify, we get:

9W + 4B + 4W + 4W + 4W + 5L + 5W = 20C.

When we multiply both sides by 20 to once more get rid of the fractions, we get:

400C = 180W + 16B + 16W + 25L + 25W

20C = 4B + 4W + 5L + 5W + 20W

9W + 4B + 5L = 20C

Now, we may change the expressions for the payments made to Mr. Lim

If we simplify, we get:

61W + 16B + 25L = 400C

We may now determine W:

W = (400C - 16B - 25L) / 61

We can divide W by the overall cost C to determine the portion of the cost of the lunch that Mrs. Walker covered:

W/C = (400C - 16B - 25L) / (61C)

W/C = 400/61 - (16B + 25L) / (simplified) (61C)

As a result, Mrs. Walker contributed a portion of the overall cost of the supper, which is: 400/61 - (16B + 25L) / (61C) (61C) .

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

find 3 consecutive even integers if three times the first integer is two times the third

Answers

Step-by-step explanation:

First = x

second = x + 2

third = x + 4

3 * x   =  2 ( x+4)

3x = 2x+ 8

x = 8              8   10  and 12

if someone knows the answer please tell me

Answers

Answer:

Step-by-step explanation:

first graph

y = 5x + 2

2 = y-intercept

5 = slope

the first graph is y = 5x+2 because the y-intercept is 2 and it rises 5 and goes over 1

second graph:

y = 2x + 3

third graph:

y = 3x + 3

or children between the ages of 5 and 13 years, the Ehrenberg equation ln ⁢ � = ln ⁢ 2.4 + 1.84 ℎ gives the relationship between the weight � (in kilograms) and the height ℎ (in meters) of the child. Use differentials to estimate the change in the weight of a child who grows from 1 m to 1.1 m.

Answers

We can estimate that the weight οf a child will increase by apprοximately 1.93 kg when they grοw frοm a height οf 1 m tο 1.1 m.

What is differential?

A differential equatiοn is an equatiοn that includes an unknοwn functiοn and its derivative. A differential equatiοn describes a relatiοnship between a functiοn and changes in the functiοn.

The given equatiοn relating weight (W) and height (h) fοr children between 5 and 13 years οld is:

ln(W) = ln(2.4) + 1.84h

We want tο estimate the change in weight when a child grοws frοm a height οf 1 m tο 1.1 m.

First, we need tο calculate the weight at h = 1 m and h = 1.1 m.

At h = 1 m, we have:

ln(W1) = ln(2.4) + 1.84(1)

ln(W1) = ln(2.4) + 1.84

ln(W1) ≈ 2.684

Sο the weight at h = 1 m is apprοximately W1 ≈ e².684 ≈ 14.66 kg.

Similarly, at h = 1.1 m, we have:

ln(W2) = ln(2.4) + 1.84(1.1)

ln(W2) = ln(2.4) + 2.024

ln(W2) ≈ 2.807

Sο the weight at h = 1.1 m is apprοximately W2 ≈ e².807 ≈ 16.59 kg.

Tο estimate the change in weight when the height increases frοm 1 m tο 1.1 m, we can use the differential οf the equatiοn:

dln(W) = 1.84dh

Using differentials, we can apprοximate the change in weight as:

dW ≈ W2 - W1

dW ≈ e².807 - e².684

dW ≈ 1.93 kg

Therefοre, we can estimate that the weight οf a child will increase by apprοximately 1.93 kg when they grοw frοm a height οf 1 m tο 1.1 m.

Learn more about differential on:

https://brainly.com/question/25731911

#SPJ1

Roger and Rohan are partners of R&R Biscuit Company. Given below is details of items that appeared in their current account for the year ended December 31, 2019:

Answers

The net profit before appropriation is (d). $1,889,000.

How to solve

To calculate net profit before appropriation to R&R biscuit company by adding all the appropriation expense to share of profit after appropriation and deducting appropriation income.

In this case, interest on capital, drawings and partner's salary are appropriation expense while interest on drawings is appropriation income.

Now,

Net profit before appropriation

= ($650,000+$200,000+$100,000+$30,000-$20,000) + ($650,000+$150,000+$130,000+$25,000-$26,000)

= $960,000 + $929,000

= $1,889,000

So, the correct answer is (d). $1,889,000.

Read more about net profit here:

https://brainly.com/question/28390284

#SPJ1

HELP PLEASE ! 10+ POINTS! Social networking sites make some very accurate suggestions for people that you might know. Explain how trees are used to make these suggestions.

Answers

trees provide oxygen which we need to live which gives us access to social networks and eachother ?

The perimeter of a rectangle is
360cm. find the breadth if its
length is 80cm.

Answers

Answer:

4.5 cm.

Step-by-step explanation:

Divide the length by the width to get the perimeter: 360 / 80 = 4.5 cm.

PLEASE MARK ME BRAIN LIST

HOPE IT HELP YOU

ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST​

Answers

The average rate of change of P between t = 3 and t = 5 is -18 people/hour.

A possible value of people in line at t = 6, given the average rate of change would be 50.

How to find the average rate of change ?

To find the average rate of change of P between t = 3 and t = 5, we can use the formula:

Average rate of change = (P(5) - P(3)) / (5 - 3)

From the table, we know P(3) = 85 and P(5) = 49.

Average rate of change = (49 - 85) / (5 - 3) = (-36) / 2 = -18 people/hour

To find the possible number of people at t = 6, Let P(6) = x. First, we will find the average rate of change between t = 3 and t = 6:

(P(6) - P(3)) / (6 - 3) = (x - 85) / 3

This value must be negative. Now, we will find the average rate of change between t = 5 and t = 6:

(P(6) - P(5)) / (6 - 5) = (x - 49) / 1

This value must be positive. Since (x - 49) is positive, we know that x > 49. Now we need to find a value for x that also satisfies the condition that the average rate of change between t = 3 and t = 6 is negative. Since (x - 85) / 3 is negative, we know that x < 85.

So, a possible value for P(6) is between 49 and 85. For example, we could choose P(6) = 50, which satisfies both conditions.

Find out more on average rate of change at https://brainly.com/question/30171256

#SPJ1

A man went to a post office to buy some stamps. If he bought x, 50 cents stamps and y, 25 cents stamps, the total cost would have been $3.50. If, however, he bought twice as many 50 cents stamps and half as many 25 cents stamps, then the total cost would have been $4.75. Evaluate x and y.​

Answers

We can start by setting up two equations based on the given information:

Equation 1: 0.5x + 0.25y = 3.5
Equation 2: 1x + 0.125y = 4.75

To solve for x and y, we need to eliminate one of the variables. We can do this by multiplying Equation 1 by 2 and subtracting it from Equation 2:

2(0.5x + 0.25y) = 2(3.5)
=> x + 0.5y = 7

1x + 0.125y = 4.75
- (x + 0.5y = 7)
------------------------
-0.375y = -2.25
=> y = 6

Now we can substitute y = 6 into either Equation 1 or 2 to solve for x:

0.5x + 0.25y = 3.5
0.5x + 0.25(6) = 3.5
0.5x + 1.5 = 3.5
0.5x = 2
=> x = 4

The box plot above summarizes the resting heart rates, in beats per minute, of the members at a gym.
Which of the following could be the range of resting heart rates, in beats per minute ?

Answers

The range of resting heart rates is 70 beats per minute. Subtracting the lowest value from the highest value will give us the range.

What is range?

It is a set of data which is the difference between the highest and lowest values.

The range of resting heart rates, in beats per minute, is calculated by subtracting the minimum value of the data set from the maximum value. In this case, the minimum value = 35

and the maximum value = 105,

so the range of resting heart rates = 105 - 35

= 70 beats per minute

The other answers cannot be the range of the resting heart rates because they are not calculated correctly.

The answer 16 beats per minute (105 - 89 = 16) is the difference between the maximum and the 90th percentile, and the answer 31 beats per minute (85 - 54 = 31) is the difference between the 85th percentile and the median.

The answer 62 beats per minute (95 - 33 = 62) is the difference between the 95th percentile and the minimum.

For more questions related to set of data

https://brainly.com/question/19243813

#SPJ1

Question:

An observer views a rocket take off from a distance of N miles from the launch pad, and tracks the angle of elevation.

a) Express the height of the rocket as a function of the angle of elevation, Θ.

b) Express the angle of elevation as a function of the height, h, of the rocket.

c) When the angle of elevation is A degrees, find the height of the rocket.

N=Any given number
A=Any given angle
(My Open Math question)

Answers

Short Answers:

a)N*tan(Θ)

b)arctan(h/N)

c)N*tan(A)

Let * stand for multiplication

Hope this is helpful to someone:)

Other Questions
What civil liberty does the due process clause protect?Question 4 options:a) Arrested individuals must be read their rights.b) Trials must proceed in an orderly fashion.c) Proposed legislation must pass through congressional committees.d) People must be treated fairly and impartially by government officials. what are the key business model drivers of capital efficient profitable growth and market value? what role does it play in enabling the business model drivers of economic value? can we use it to develop a business model dashboard and monitor business model performance? Which context clues support the definition of muse as an "inspiration for writing poetry? select three options. that which gives thee all thy might spend'st thou thy fury on some worthless song the ear that doth thy lays esteem gives thy pen both skill and argument my love's sweet face survey thou prevent'st his scythe and crooked knife a company's balance sheet shows: cash $38,000, accounts receivable $24,000, office equipment $58,000, and accounts payable $25,000. what is the amount of total equity? multiple choice $25,000. $95,000. $120,000. $145,000. $37,000. What type of climate is experienced by cities that are close to large bodies of water as compared to inland cities at the same latitude? aBigger changes in temperature and lower levels of precipitation bHotter temperatures and a bigger range of different types of precipitation cMilder temperatures and higher levels of precipitation dMuch lower temperatures and lower levels of precipitation users can easily judge the impact on profits of changes in selling price, cost or volume when using an income statement constructed under the blank approach. multiple choice question. gross margin traditional contribution margin balance sheet viewing these beautiful blossoms is a yearly japanese tradition. what kind are they? Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.50 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.10. How much does an average movie ticket cost in each of these countries? Which angle(s) below is/are supplementary? A. X and Y B. Z C. V D. W and U Tamara earns her living as a salary plus commission employee. Her annual salary is $48,000, and she earns 4% commission on all sales she makes. If Tamara wants to make a total of $6,000 this month, how much in sales does she need to have?a.$30,000b.$50,000c.$100,000d.$150,000Please select the best answer from the choices providedABCD 4. Why cannot a dry seed germinate? Why was it necessary to build and use WIPP a bakery has 3 types of pie.. apple, cherry, and peach. there are 4 times as many apple pie as peach pie. what is a possible percentages for each type of pie Ceteris paribus, if average prices in the U.S. economy fall, then the: Sin 20 +Sin 40 +Sin 80 simplify in his atlanta speech of 1895, booker t. washington group of answer choices called for political equality. encouraged blacks to adjust to segregation. opposed vocational education for blacks. fought against segregation. continued the abolitionist political tradition. If an item has an original price of $90 and has been discounted 30%, what is the sale price HELPPP!!!! please!! Will mark as brainliest When a parachute opens, the air exerts a large dragforce on it. This upward force is initially greater thanthe weight of the sky diver and, therefore, slows him down. The mass of the sky diver is 82.0 kg and the drag force has a magnitude of 850 N. What are themagnitude and direction of his acceleration?