30 POINTS

Identify the following for the exponential function y = 5(1/4)x.

a. Growth or decay?

b. Initial value

c. Growth/decay factor

d. Growth/decay rate (as a percentage)

Answers

Answer 1

Answer:

A)

Decay

B)

Initial value is 5.

C)

The decay factor is 0.75.

D)

75%

Step-by-step explanation:

An exponential function is given by:

[tex]f(x)=a(r)^x[/tex]

Where a is the initial value and r is the rate.

We have the function:

[tex]y=5(1/4)^x[/tex]

So, a = 5 and r = 1/4.

A)

Remember the guidelines:

It is exponential growth if r > 1. And it is exponential decay if r < 1. (And r must be positive.)

Our rate is 1/4 or 0.25.

It is less than 1, so our function is exponential decay.

B)

The initial value is the value in front of our rate.

So, our initial value in this case is 5.

C)

The decay factor will be 1 - r, where r is our rate.

Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.

So, we are decaying by a factor of 0.75.

D)

To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.

So, 0.75 will be 75.0 % or smply 75%.

It is a 75% decay.


Related Questions

help meeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

B

Step-by-step explanation:

B 525
My answer has to be at least 20 character long so it can be answered

I need help can you?

Answers

Answer:

Step-by-step explanation:

                 Statements                                          Reasons

1). m∠QPS = m∠TPV                                1). Given

2). m∠QPS = m∠1 + m∠3                        2). Angle addition postulate

    m∠TPV = m∠2 + m∠4                                    

3). m∠1 + m∠3 = m∠2 + m∠4                  3). Given

4). m∠1 = m∠2                                          4). Given

5). m∠1 + m∠3 = m∠2 + m∠4                  5). Subtraction property

    m∠3 = m∠4

How long is `50\%` of a 24 hour day

Answers

Answer:

12 hours

Step-by-step explanation:

50/100 x 24 = 12

Answer:

it would be 12 hours.

Step-by-step explanation:

24/2=12

Carlos has 38 apples. He puts 8 apples into each bag. If he fills as many bags as possible, How many apples are left
A .6
B. 5
C 2
D 4

Answers

Answer:

the answer is A 6 apples

Step-by-step explanation: you want to divide 38 by 8 if you do that you get 4 bags with 6 apples left

Answer: Carlos can fill 4 bags and have 6 left over

Step-by-step explanation:

The first step is to divide 38 by 8.

38 ÷ 8 = 4 with 6 left over.

That means that Carlos will be able to fill 4 bags and have 6 left over.

The answer is A, 6. Hope this helps, and good luck!

5% of a number is 31 1% of the same number is 6.2

Work out 13% of the number.

Answers

Answer:

80.6

Step-by-step explanation:

1%-> 6.2

13%-> 6.2x13=80.6

You roll a 6-sided die.
What is P(not odd)?
Write your answer as a percentage.

Answers

Answer:

[tex]\boxed{\textsf{ Hence the percentage probability of getting a not odd is \textbf{ 50\% }.}}[/tex]

Step-by-step explanation:

Given that we roll a 6 sided dice . We need to find the probability that the outcome is not a odd number . So , when we roll a dice then the possible outcomes are ,

[tex]\sf\implies Sample\ space = \{ 1,2,3,4,5,6 \}[/tex]

And the total number of possible outcomes is 6 . That is ,

[tex]\sf\implies n(Sample \ space )= 6 [/tex]

Now the total number of non odd numbers that is even numbers is 3 ( 2 , 4 & 6) .

[tex]\sf\implies n(Outcomes_{(even)})= 3 [/tex]

Now , lets use the formula of Probability that is ,

Probability :-

[tex]\qquad\boxed{\boxed{\sf P = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes }}}[/tex]

Now put on the respective values :-

[tex]\sf\implies P( getting\ a \ not \ odd ) = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes } \\\\\sf\implies P( getting\ a \ not \ odd ) =\dfrac{3}{6} \\\\\sf\implies \boxed{\sf P( getting\ a \ not \ odd ) = \dfrac{1}{2} }[/tex]

[tex]\rule{200}2[/tex]

Expressing the probability as percentage :-

[tex]\sf\implies \% \ of \ getting \ non \ odd = Probability \times 100 \\\\\sf\implies \% \ of \ getting \ non \ odd = \dfrac{1}{2}\times 100 \\\\\sf\implies \boxed{\pink{\frak{ \% \ of \ getting \ non \ odd = 50\%}}}[/tex]

The picture says it all ty! <3

Answers

Answer:

only Katie is right

Step-by-step explanation:

first, find the nth rule using the equation n = a + (n - 1)d

a = first term (here, it's 22)

n = the position of a term

d = the constant difference between each term (here, it's -5 since each term reduces by 5)

put these in and then simplify:

n = a + (n - 1)d

n = 22 + (n - 1)(-5)

n = 22 - 5n + 5

n = -5n + 27

this can be rewritten as n = 27 - 5n, which means therefore that only Katie is right. hope this helps!

Answer: Only Katie

Reason: Only Katie is correct!

Factor, 15x - X-2????????

Answers

Answer:

13x

Step-by-step explanation:

hope this helps

PLS HELP!!! I WILL GIVE THE BRAINLIEST!!!

Answers

Answer:

area of trapezoid==1/2 h(d1+d2)=7.5/2(10+(5+2×3+5))=97.5in²

area of semi circle=1/2 πr²=1/2 ×3.14×3²=14.13in²

area of shaded region=97.5-14.13=83.37in²

Answer:

outside shape = (10x7.5)+(2)(0.5)(7.5x3) = 97.5 in^2

circular cutout = (3.14)(3^2)(0.5) = 14.1 in^2

97.5-14.1 = 83.4 in^2

Find the value of x in the acute scalene triangle that has the angles 114° and 37°

Answers

I would add 114 and 37 then subtract the total from 180 to get x=29

The equation y=9.50 +0.4 represents the line of best fit for the distance in feet) that Marcella traveled over time
(in seconds) based on several races she ran.
Based on this equation what is Marcella's average speed in feet per seconds?
Enter the answer as the correct value without units.
marking brainlist

Answers

Answer:

9.9 feet per second

Step-by-step explanation:

y=9.5+0.4

y=9.9

Marcella's average speed in feet per seconds is,

⇒ y = 9.54 feet

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The equation which represents the line of best fit for the distance in feet) that Marcella traveled over time (in seconds) based on several races she ran is,

⇒ y = 9.50x + 0.4

Hence, Marcella's average speed in feet per seconds is,

y = 9.50x + 0.4

Put x = 1;

y = 9.50 × 1 + 0.4

y = 9.50 + 0.4

y = 9.54 feet

Thus, Marcella's average speed in feet per seconds is,

⇒ y = 9.54 feet

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

Please Help. Im stuck on this question and i cant figure it out

Answers

Answer:

Where is it?

Step-by-step explanation:

Where is the question exactly?

Jinny is selling bracelets for $4.00. So far, she has earned $296.00. She needs to earn more than $472.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal? Select the inequality that includes the fewest number of bracelets that she can sell and still reach her goal.

Answers

She needs more then 472 and has 296 so she still needs 176 because 472-296=176
Each bracelets is 4 so then 176/4 is 44
1. She needs to sell 44 more bracelets,45 if she needs more than 472
2 the inequality would be x>=44 bracelets

PLZ help me and anyone who can help me will get 15 points

Answers

Answer:

the answer is 43

Step-by-step explanation:

4 = 3s joe biden

Which values of m make 1/4 m > 3 true ?

Answers

Answer:

m > 12

Step-by-step explanation:

I) Find what m is in 1/4m = 3:

1/4m = 3

Divide by 1/4:

m = 12

II) Make an inequality:

m > 12

whats 100 + 100 ?????

Answers

Answer:

200

Step-by-step explanation:

Have a great day! :)

Answer:

200

Step-by-step explanation:

When you add 100 and 100 together, the sum will be 200.

14 and 15, please. I don’t really understand.

Answers

Answer:

14) 9.2  15) 12.9

Step-by-step explanation:

14) cos(52) = x/15

x = 15cos(52)

x = 9.2349

x = 9.2

15) cos(22) = 12/x

x = 12/cos(22)

x = 12.9424

x = 12.9

PLZ HELP ITS DUE TODAY

Answers

9514 1404 393

Answer:

  x = {-0.44, 1.69}

Step-by-step explanation:

Multiply by the denominator to eliminate the fraction.

  3 = x(4x -5)

  4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form

Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4(4)(-3)}}{2(4)}\\\\x=\dfrac{5\pm\sqrt{73}}{8}\approx \{-0.443, 1.693\}[/tex]

Solutions rounded to hundredths are ...

  x = -0.44

  x = 1.69

_____

A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form

  f(x) = 0

  3/(4x -5) -x = 0


The data in the table represent a linear relationship.

Answers

Step-by-step explanation:

y=mx +b

b= 5

12.5= 10m+5

10m = 7.5

m= 0.75

y=0.75x +5

..........

at x= 20 , y= 20

at y= 27.5 , x= 30

at x= 40 , y= 35

in a class full of men and women, 4/7 of the class are women. What is the ratio of men to women in it's smplest form?

Answers

Answer:

3/4 is the ratio of men to women in the simplest form.

Given z = 1 – i, which letter represents z3?

A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

I just took the quiz

Iota is an imaginary unit number that is denoted by i and the value of iota is [tex]i=\sqrt{-1}[/tex]

Letter A represent [tex]z^{3}[/tex]

Given that, z = 1 - i

Now finding  [tex]z^{3}[/tex] ,

                    [tex]z^{3}=(1-i)(1-i)(1-i)\\\\=(1+i^{2-2i} )(1-i)\\\\=1+i^{2}-3i-i^{3}+2i^{2}\\\\=1-1-3i+i-2\\\\=-2-2i[/tex]

In given diagram, it is observed that Point A is  [tex]-2-2i[/tex].

Learn more:

https://brainly.com/question/12375854

How would you write this as an expression?
A number is no more than 8
Answer choices


<
>
=

Answers

In other words this means every number is less than 8

Therefore the answer would be:
8
It's less than or equal to, I don't have the symbol on my keyboard but it's the second one

What is the interest rate of the account? What is the balance after 10 years?
Interest rate:
%
Balance after 10 years: $

Answers

Answer:

can you please provide more context?

Step-by-step explanation:

Answer

43

Step-by-step explanation:

so first 6544-x233

then 45 x 1 thats your answer

what is the solution to 3x2+7x−20=0

Answers

Answer:

Your answer is -4

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:

x = 5/3

x = -4

-Evaluate the exponent

-Multiply the numbers

-Add the numbers

-Evaluate the square root

-Multiply the numbers

Simplify 4.5+ 3.1(2x + y) + 1.2y.

Answers

Answer:

see image

Step-by-step explanation:

Answer:

6.2x+4.3y+4.5

Step-by-step explanation:

30-60-90 right triangles

Answers

Answer:

i think it is either 31 or 15.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

pythagoras theorem.

a squared plus b squared equals hypotenuse squared

a=7

b=24

49+576=625

square root is 25

that's your answer. c=25.

What is the equation of the line that passes through point (-1,4) and is perpendicular to the following equation? y= -1/2x - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

To find an equation perpendicular to another one, you must find the negative inverse of the slope.

In this case, -1/2 has an inverse of -2, but because we're finding the negative inverse, the two negatives cancel out and we get 2, the slope of our perpendicular equation, which crosses the initial equation, making a right angle.

Pleaseee I need help quickkk

Answers

you just have to plot the coordinates for example the first one from the left would be (-2,-7)


To go to the park, It costs $4 plus $3 per child. Which equation shows this situation
where x represents the number of children

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.

I'm sorry please help.
Solve the following system of equations.
x-3y=17
x+7y=-23
x=
y=

Answers

Answer:

-4y=40

y=-10

x-3(-10)=17

x-30=17

x=17+30

x=47

Step-by-step explanation:

Answer:

x= 5

y= -4

Step-by-step explanation:

x= 17+3y so you substitute what you got for x in so

17 +3y +7y = -23

10y=-40

y=-4 now you put -4 in for y in the first equation

x = 17 + (3 times -4)

x = 17 - 12

x=5

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