Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=38(1.108)^x

Answers

Answer 1

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

Answer 2

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%


Related Questions

You need to score a 90 or higher on your next test to make the honor roll. If x represents the score on your next test, which inequality represents the situation?

x > 90
x< 90
x ≥ 90
x ≤ 90

Answers

Answer:

x ≥ 90

Step-by-step explanation:

it says 90 or higher which also means "at least 90", which means greater than or equal to 90.

A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.

Angle of Elevation Distance Traveled
15 31.9
25 48.8
30 55.5
45 63.8
50 62.8
55 59.9
60 55.5
70 41.0
Using a quadratic regression calculator, determine the values of a, b, and c that can be used to write a quadratic function that provides a reasonable fit to the set of data. What is the value of c?

A). 8.5411
B). -8.5411
C). 85.411
D). -85.411

Answers

The answer is D hope this helps your very welcome

Answer:

-8.5411

Step-by-step explanation:

I just did this with the desmos calculator !

18.
X
The line of best fit for the graph above has the equation y = 2x + 1.
What value does the line predict when x = 5?

Answers

Answer:

[tex] y = 10[/tex]

Step-by-step explanation:

[tex]y= 2x + 1 \\ x = 5 \: \\ substitude \: 5 \: to \: the \: value \: of \: x \\ y = 5 \times 2 + 1 = 10 \\[/tex]

Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If ff represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?


And pls dont say that u put the answer somewhere esle

Answers

Answer:2-f

Step-by-step explanation:

If total expenditure of firm is Rs. 1000 i). Price of labour (PL)is Rs 200. ii). |Price of capital (PK) is Rs. 100, then determine the budget line for the firm? (

Answers

Answer:

[tex]L + 2K = 200[/tex]

Step-by-step explanation:

Given

[tex]E=1000[/tex] --- Expenditure

[tex]L=200[/tex] --- Labor

[tex]K = 100[/tex] --- Capital

Required

Determine the budget line

First, we calculate the units of labor

[tex]U_1 = \frac{E}{L}[/tex]

[tex]U_1 = \frac{1000}{200}[/tex]

[tex]U_1 = 5[/tex]

Next, the units of capital

[tex]U_2 = \frac{E}{K}[/tex]

[tex]U_2 = \frac{1000}{100}[/tex]

[tex]U_2 = 10[/tex]

The budget line equation is:

[tex]U_1 * L + U_2 * K = E[/tex]

At this point, we take L and K as variables.

So, the equation becomes

[tex]5* L + 10* K = 1000[/tex]

[tex]5 L + 10K = 1000[/tex]

Divide through by 5

[tex]L + 2K = 200[/tex] -- Budget line equation

The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c

Answers

Answer:

m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3[tex] {(a + b)}^{2} \div 3c[/tex]

252/550.3 PLSSSSS HELP IM IN THE MIDDLE OF CLASS HELP PLS

Answers

Answer: 2.1

Step-by-step explanation:

I don’t know if this is right but I think 2.1

7) Samantha has saved $100 to buy a new laptop. Each month, she saves $15 towards the laptop. What expression could be used to find the total amount saved after M months? Explain why
pliss i need it for today

Answers

Answer:

Step-by-step explanation: Have you used my tutor because it works and helps me by them explaining every step.

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This is not a virus just saying, my school uses this by the way.

What is the area of the real store in square inches? What is the area of the real store in square feet? What are the dimensions (length and width) of the store in feet? Is it a big store or a small one? PLEASE HELPP!!

Answers

Answer:

The dimensions of the real store are 80 times bigger as per scale:

1.875 in * 80 = 150 in = 150/12 ft = 12.5 ft2.25 in * 80 = 180 in = 180/12 ft = 15 ft

The area of the real store:

150 in * 180 in = 27000 in²12.5 ft * 15 ft = 187.5 ft²

Please help me with this question, I'm confused ​

Answers

Answer: The answer would be 12 and 12

Hope it helps :D

Find the perimeter and the area of the figure.
6 cm
7 cm
9.5 cm
6.5 cm

Answers

The perimeter and the area of the composite figure are 29 centimeters and 49.5 square centimeters, respectively.

How to determine the perimeter and the area of the figure

In this problem we have the representation of a composite figure, the result of the combination of a rectangle and a triangle. The perimeter of the figure is the sum of the sides and the area of the composite figure is the result of suming the areas of the rectangle and triangle:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

b - Baseh - HeightA - Area

And the perimeter and the area of the composite figure are now computed:

Perimeter

p = 6 cm + 7 cm + 6.5 cm + 9.5 cm

p = 29 cm

Area

A = 0.5 · (6 cm) · (2.5 cm) + (6 cm) · (7 cm)

A = 7.5 cm² + 42 cm²

A = 49.5 cm²

To learn more on composite figures: https://brainly.com/question/23082031

#SPJ1

A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3,4,5.

Answers

Answer:

what's the question? if you clarify ill answer

val Verde Unified SD
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Personal Math Trainer Lesson 6.2 - Homework - Homework
112131415161718
9
10
Gordon types 1,612 words in 26 minutes. Find the unit rate.
Gordon types
words per minute.

Answers

Answer:

nothing to do with your question just need points

Step-by-step explanation:

Answer:

62 Words Per Minute

Step-by-step explanation:

Big brain go thinky-think.

2 × 10^12 red blood cells have a total mass of 90 grams.
Work out the average mass of 1 red blood cell.
Give your answer in standard form.

Answers

Answer:

2×10¹² cells → 90 g

mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g

If 2 = 6, what is the degree measure of 5?
A. 80
B. 220°
C. 60°
D. 120°

Answers

Answer:

60°

Step-by-step explanation:

We know that 2 and 6 = 60 degrees, so we add 60 + 60 which equals 120, now subtract 120 by 180 and you get 60 degrees.

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Answers

Answer:

just use the app Math-way it had a feature where you can take a picture of it and it will answer and give an explanation for your problem

Tomiko has a 1:24 scale drawing of her house. In the drawing the dimensions of the rectangular kitchen are 5 3/4 inches by 4 1/4 inches. What is the area, to the nearest square foot of Tomiko's actual kitchen?

Answers

Answer: 9 4/4 or 10 whole

Step-by-step explanation:

Solve for x. Rounds the answers to the nearest tenth.

Answers

X= 36.9
So the third one is the correct answer

Give the center and radius of the circle x2+y2=25
A) (2,3)r=5
B) (0,0)r=5
C) (0,0)r=25
D) (3,2)r=25

Answers

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

Answer:

(0,0) r=5

Step-by-step explanation:

The guy above me

Kim bought a lawn chair that had a ticket price of $25.00. She ended up paying $26.50 after tax. If she were to buy a $40.00 patio table, how much would she have to pay after tax?

Answers

Answer:

She would have to pay $42.50, which is 6.25% sales tax.

QUICK HELP!! If two linear equations have one solution, then the...
A Slopes are the same but the y-intercepts are different
B Slopes are different
C Slopes are the same and the y-intercepts are the same

Answers

Answer:

A

Step-by-step explanation:

6.
Do the following conversions:
a.2 GB = ---------------- Kb

b.
2×10 MB = ------------------- B


please answer the question fastly​

Answers

Answer:

a) 2000000 kilobytes

b)20 000 000 bytes

Please help me answer this question!

Answers

aquurrr said omgggg what is that

Find the area.
2m
2m
3m

Answers

Answer:

5 m²

Step-by-step explanation:

please mark me as brainliest

Find the value of x. Then find the measure of each interior angle. Show work algebraically

Answers

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

Someone help me pls

Answers

Answer: A. 90° clockwise, E. 270° counterclockwise

MYSTERY NUMBER OF POINTS . Hint its 100. Solve to receive.
7m + 3y - 2m + y + 8
ANSWER
5m + 4y + 8
Have a great day

Answers

Answer:

5m + 4y + 8 is the answer or are you asking for the answer-?

Answer:

thank you

have a good day..❤

What is the vertex of the graph?

Answers

The answer is (1,3)

I hope it helped u

Ron and Freddy built structures out of snap cubes. Ron's tower had an 8-inch square base. Freddy had a 6-inch square base. If Ron's tower had a volume of 320 cubic inches and Freddy's had a volume of 180 cubic inches, Whose tower was taller? Explain your reasoning.

Answers

Answer: Ron tower's

Step-by-step explanation:

Given

Ron tower has a base of [tex]A_r=8\ in.^2[/tex]

Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]

Suppose the tower is in the shape of a square prism

The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]

The volume of a square-based prism is  [tex]V=\frac{1}{3}a^2h[/tex]

[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]

The height of Freddy tower is

[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]

Thus, the height of Ron's tower is  more than Freddy's tower by [tex]30\ in.[/tex]

what is the equivalent slope intercept for 5x = 4 + y

Answers

Answer: -5

Step-by-step explanation:

Answer:

y = 5x - 4

Step-by-step explanation:

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