You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.

Answers

Answer 1

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

Answer 2

An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:

[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]

In this situation, the function is:

[tex]\to f(x) = 0.01\times (2)^x[/tex]

And we'd like to calculate the average rate of change from day 7 to day 14.Using the aforementioned equation, we can calculate the rate of change from day 7 to day 14 as follows:

[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.

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Related Questions

Help meeeeeeeee plsss

Answers

Answer:

Continuous

Step-by-step explanation:

I don't have a lot of time this is about to be overdue
What are the terms in the expression 2d + 7 + 5f?

2, 7, and 5

d and f

2 and 5

2d, 7, and 5f

Answers

Answer:

• d and f

Step-by-step explanation:

• take an example of;

ax + by + 1

a and b are coefficientsx and y are terms1 is a constant

[tex].[/tex]

State the minimum monthly income and hourly wage per worker needed to cover monthly
expenses for the family you used in part a. Then, explain how to calculate the hourly wage
based on the monthly income and state the hourly wage. Assume that each full-time worker
works four 40-hour work weeks per month, and each part-time worker works two 40-hour
weeks per month. (10 points)

Answers

Answer:

https://brainly.com/question/14113265

Step-by-step explanation:

put these fractions in order from least to greatest

4/10 4/11 4/7​

Answers

Answer:Putting these fractions from least to greatest would be (4/11, 4/10, and 4/7).

Step-by-step explanation:

Hope this helps! ^_^ Please give brainleist and leave a rating if you like this answer!

How do you find percentages?

Answers

Answer:

obtained number divided by total number multiply by 100%.

· Definition of Percentages

Mathematically, percentages are either numbers or ratios that are expressed as fractions of 100. They are usually denoted as "%" or simply "percent." They may be further represented as simple fractions or as decimal fractions. An example of a percentage is 65% or 65 percent.  The term percentage was formed from two words, “per” and “cent.” Cent is a word with Latin and French origin that means "hundred," and "percent" means "per hundred." For example, 90 percent (or 90%) means 90 out of 100 while 50 percent (or 50%) means 50 out of 100 or half of a whole.

1. Determine the initial format of the number to be converted to a percentage

The number to be converted to a percentage can either be in the decimal or fraction format. A good example of a decimal number is 0.57, which may be the calculated ratio of the values you are comparing, while an example of a fraction is 3/20. The initial format will determine the next mathematical process to be carried out on the number.

2. Carry out a mathematical process on the number to be converted to a percentage

If the number to be converted to a percentage is a decimal number like 0.57, you may not need to do anything to it before you go to the next step. However, if it is a fraction like 3/20, you should first divide the numerator (3 in this case) by the denominator (20 in this case) to get a decimal number.

3. Multiply the result of the mathematical process by 100

If you are required to convert a decimal number like 0.57 to a percentage, you are to simply multiply it by 100. That is, 0.57 x 100 = 57. Therefore, 0.57 as a percentage = 57% or 57 percent. Another example of converting a decimal to a percentage is 0.03 x 100 = 3% or 3 percent.

However, if you are required to convert 3/20 to a percentage, you should divide 3 by 20 = 0.15. Then multiply 0.15 by 100 = 15% or 15 percent.

Another example is if you are to convert 5/10 to a percentage, you should divide 5 by 10 = 0.5. Then, multiply 0.5 by 100. Therefore, 0.5 x 100 = 50% or 50 percent.

What is the slope of the line that passes through the points (-3, 1) and (1, — 5) ?
o
0
e
1
1
تراثي
3
e
Sco

Answers

Answer:

-3/2

Step-by-step explanation:

-5-1/1-(-3)

-6/4

-3/2

a ladder is leaning against a house. if the top ladder is 12 feet above the ground and 3 feet away from the house, what is the angle of inclination?

Answers

Answer:

60 deegrees

Step-by-step explain

20 is 4/7 of what number?

Answers

answer: 20 is 4/7 of 35.

What is the slope of (-5,7) and (1,1)


What is the slope of (2,6) and (8,4)

Answers

Answer:

(1) -1

(2) -1/3 or -1.333333333333333333333333333333333333to infinity

Answer:

(-5,7) and (1,1)

Slope=-1

(2,6) and (8,4)

Slope=-2/6

The mass of the Earth is 5.9 x 1024 kg. What is the mass of the Earth expressed in standard form

Answers

Answer:

ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ

Answer:

5.887⋅1024kg

Brainlyest plz

answer the question below

Answers

Answer:

3/8 of a pizza or 3 slices

Step-by-step explanation:

First, make the numerator of 3/4 an even number that can be divisible by 2 by multiplying the numerator and denominator by 2.

3/4 = 6/8

Then multiply 6/8 by 1/2 to get 3/8

please help me due soon

Answers

Answer:

- 7.2

Step-by-step explanation:

it is division and we need to take the reciprocal and multiply it will be -9/5. we need to simplify leaving us -7.2

what is 4000ml to dm

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 cubic decimeters.

....

m^ 2 + m − 90 factorize

Answers

Answer:

(m+10)(m-9)

Step-by-step explanation:

To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.

Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)

Answer:

[tex](m-9)(m+10)[/tex]

Step-by-step explanation:

When you are given an expression in this format

[tex]ax^2+bx+c[/tex]

You must find two numbers that add up to b while the product is c.

You do trial and error to figure it out for your equation.

[tex]m^2+m-90[/tex]

Hmm... what two numbers add up to 1 and multiplied together equal -90.

Start off with pairs that can equal 90.

45 2

18 5

9 10

Ok, well 45 * 2 does equal 90 but 45 + 2 = 47and 45 + -2 = 43 but there's no way I can make it equal to 1. Next!

18 * 5 equals 90 but 18 + -5 = 13 and 18 + 5 = 23, I can just tell that there's no way I can make this equal to 1.

9 * 10 equals 90, 9 + 10 = 19 but 9 + -10 = -1. Now, that's interesting, We have -1 but we need 1. All we have to do is flip the order. 10 + -9 = 1. And -9 * 10 = -90, PERFECT!

Now use the two numbers and put it in factored form.

[tex](m-9)(m+10)[/tex]

A group of 7 students was asked,
"How many hours did you watch
television last week?" Here are
their desponses.
7, 10, 5, 6, 19, 8, 17

Find the mean number of hours for
these students.
If necessary, round your answer to
the nearest tenth.
Lenovo

Answers

Answer:

10.3 hours

Step-by-step explanation:

(7+10+5+6+19+8+17)/7

= 72/7

= 10.3

Erika created a scatterplot representing the height a plant grew after a certain number of hours of sunlight. The plant height was plotted on the horizontal axis. Which statement best describes how she should draw her line of best fit? A. The line of best fit will be horizontal. B. The line of best fit will be vertical. C. The line of best fit will increase from left to right. D. The line of best fit will decrease from left to right.

Answers

Answer:

B

Step-by-step explanation:

The line of best fit should be vertical. This answer may not be correct.

The correct statement is statement B that is the line of best fit will be vertical.

What is a scatter plot ?

A scatter plot is a graph in which the values of two variables are displayed along two axes, and any correlation is revealed by the pattern of the resulting points.

It is given that , after a particular amount of hours of sunlight, Erika made a scatterplot showing the height that a plant increased to. On the horizontal axis, the plant height was shown.

We know that in a scatter plot , the values of two variables are displayed along two axes. As the plant height was shown on the horizontal axis. The other value which is amount of hours of sunlight will be on the vertical axis.

So , the statement which best describes how Erika should draw her line of best fit i.e., the line of best fit will be vertical.

Therefore , the correct statement is statement B that is the line of best fit will be vertical.

Learn more about scatter plot here :

https://brainly.com/question/6592115

#SPJ2

Which of the following lists of values contain rational numbers only?

Group of answer choices

90, -1.375 , π


−81−−−√,7√7√,4.16


28−−√,0,313


639,116−−√,50−−√

Answers

Answer:

90, -1.375 , π

Step-by-step explanation:

Please hurry please!

Answers

Answer:

b

Step-by-step explanation:

Help please also give an explanation


Quinn and Logan solved the equation 8(x-5)=8x+40. Quinn said the answer is x=0, Logan said the answer has infinitely many solutions. Who is right? Explain your answer.

Answers

Answer:

Neither of them are right

Step-by-step explanation:

First, let's actually solve this equation:

8 ( x - 5 ) = 8x + 40

Distribute on the left:

8 ( x - 5 )

( 8 x X ) + ( 8 x ( -5 ) )

8x - 40

8x - 40 = 8x + 40

Add 40 to each side:

8x = 8x + 80

Subtract 8x from both sides:

0 = 80

0 ≠ 80

There are no solutions to the equation

Answer:

joe    

joe mama

++

Step-by-step explanation:

Factorise x²-4y² mmmmm

Answers

Answer:

(x + 2y)(x − 2y)

Step-by-step explanation:

x² - 4y²

(x + 2y)(x − 2y)

Calculate 36%of $4500

Answers

Answer:

1620

Step-by-step explanation:

0.36*4500=1620

WILL MARK BRAINLIEST!
simplify −4x² y+5x+5−3x+4x² y−8

Answers

Answer

2x-3

Step-by-step explanation:

given:

−4x² y+5x+5−3x+4x² y−8

=−4x² y+4x² y+5x-3x+5-8

=2x-3

hope it helps!!

Let's simplify step-by-step.

(−4x2)(y)+5x+5−3x+4x2y−8

=−4x2y+5x+5+−3x+4x2y+−8

Combine Like Terms:

=−4x2y+5x+5+−3x+4x2y+−8

=(−4x2y+4x2y)+(5x+−3x)+(5+−8)

=2x+−3

=2x-3

Therefore the answer is 2x-3

can someone help me understand how to find a slope?
the following question:
find the slope of 8,10 and 2,17

Answers

Answer:

-7/6

Step-by-step explanation:

I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.

The answer can also be written as a decimal as shown below, but it is neater to use the fraction.

Evaluate the function.

Answers

-87 is the correct answer

I need help please been getting all the answers wrong

Answers

Answer:Question? :c

Step-by-step explanation:

Answer:

what's the problem?

ma'am/Sir

What is the value of 5c + 2, if c= 6

Answers

To evaluate the expression, we will need to plug in a 6 everywhere there is a c.

5c + 2

5(6) + 2

30 + 2

32

Hope this helps!! :)

1/ A submarine dives to 560 meters below water level, it then dives a further 750 metres to take more deep sea pictures. What is the total dive depth?

Answers

Simply add -560 and -750 (remember same sides add and keep, different signs subtract) you should get -1310

Simon bought a $48 table on sale at 30% off.

Select from the drop-down menu to correctly complete the sentence.

The best estimate for the discount can be found using the expression

Answers

Answer:

he paid $33.60

Step-by-step explanation:

the expression is 48(.70)

70% is how much is still paid so multiply it and you get the answer.

this applies to any question like this.

Find the pattern and state the next number.
1 1/2, 2/3, -1/6, -1, ???
help is highly appreciated :D

Answers

Answer:  ⁻¹¹/₆  =  - 1 ⁵/₆  

Step-by-step explanation:

If we rewrite each term of the sequence to a common denominator then it makes it easier to see the pattern:

       ³/₂ , ²/₃ , ⁻¹/₆, -1 , ___

      ⁹/₆ , ⁴/₆ , ⁻¹/₆ , ⁻⁶/₆ , ___

 

This makes the pattern Xₙ = ⁹/₆ - ⁵⁽ⁿ⁻¹⁾/₆

∴ the missing term is ⁻¹¹/₆

If 2 angles in a triangle are 71 degrees and 56 degree, what is the measure of the third angle?

Answers

Answer:

53

Step-by-step explanation:

Sol'n

Let the remaining angle of a triangle be x.

x+71+56=180 (Sum of angles of a triangle is 180°)

or, x+127=180

or, x=180-127

.:, x=53°

.:, The measure of third angle is 53°

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