A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.) y = 18(1.15)x

Answers

Answer 1

Answer:

[tex]y = 18 * 1.15^x[/tex]

Step-by-step explanation:

Given

[tex]a = 18[/tex] --- initial

[tex]r =15\%[/tex] -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

[tex]y = ab^x[/tex]

Where

[tex]b=1 +r[/tex]

Substitute [tex]r =15\%[/tex] in [tex]b=1 +r[/tex]

[tex]b = 1 + 15\%[/tex]

[tex]b = 1 + 0.15[/tex]

[tex]b = 1.15[/tex]

Substitute [tex]b = 1.15[/tex] and [tex]a = 18[/tex] in [tex]y = ab^x[/tex]

[tex]y = 18 * 1.15^x[/tex]


Related Questions

solve
¾.(z to the 3rd power . 4)=

Answers

Answer:

In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.

In a standard 52−card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10.


Suppose a solitaire player has played 600 games. Predict how many times the player turned over a red card as the first card.

The player can expect to turn over a red card about _____ times.

Answers

About 300 times, half of the cards are red right?

Answer:

300 times

Step-by-step explanation:

52 card deck

half are red

halfare black

100 PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet than the width. The total area of the field is 24 square inches. Write an equation to represent the area of the rectangle.

Answers

Answer:

24 ÷ x = 5

i hope this helps :)

Answer:

It is 24 ÷ x = 5

Step-by-step explanation:

Royce is jogging 30 meters in 10 seconds.
How many meters can he jog in 25 seconds?

Answers

75 meters in pretty sure

Hisako sells dolls at her doll store. If she sells a doll for $35, and there is 6% sales tax, what is the tax amount a customer will pay on one doll?

Answers

Given:

The price of a doll = $35

Sales tax = 6%

To find:

The tax amount that a customer will pay on one doll.

Solution:

The price of doll is $35 and the sales tax is 6%, so the tax amount on a doll is 6% of 35.

[tex]\text{Tax amount}=35\times \dfrac{6}{100}[/tex]

[tex]\text{Tax amount}=\dfrac{210}{100}[/tex]

[tex]\text{Tax amount}=\dfrac{21}{10}[/tex]

[tex]\text{Tax amount}=2.1[/tex]

Therefore, the tax amount that a customer will pay on one doll is $2.1.

The solution shown for the equation is incorrect. What is the correct​ solution? What is the​ error?
−9​(3−​r) = 45
−27−9r = 45
−9r = 72
r = −8

The solution is ____

Answers

-9(3-r)=45
-27+9t=45
9r=45+27
R=72/9
R=8
The answer is 8 not -8

A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.

A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

Answers

Answer:

(B)negative slope

(C)constant slope

(E)decreasing function

Step-by-step explanation:

just took the test :)

Answer:

B,C,E

Step-by-step explanation:

What is the volume of this composite solid?
4 m
6 m
10 m
6 m
O A. 372 cubic meters
B. 144 cubic meters
Ο Ο Ο Ο
O C. 600 cubic meters
D. 480 cubic meters

Answers

D. 480 cubic meters. Using the volume formula LxWxH we can find the volume of the rectangular prism on the bottom. Using the triangle area formula, we know the face of the triangle has an area of 12. Multiply this twelve by 10 and you get 120. 120+360 = 480

Answer:

its D. 480 cubic meters for Ape.x

Step-by-step explanation:

Which of the following is a sinusoid?
O A. y = x
OB. x2 + y2 = 1
O C. y = cos x
O D. y=[x]

Answers

The correct answer is c y=cos x

The function y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.

What is sinusoid?A sine wave or a sinusoidal wave is graph representing the sine function.It has a maximum value of 1 and minimum of -1. It is a periodic function.The sine function is given by {y} = sin{x}.

Given is to identify which of the given functions are sinusoids.

Now, we can see that -

y = x : represents a straight line.

x² + y² = 1 : represents a circle with unit radius.

y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.

Therefore, the function y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

If john works 20 hours a week and gets a fixed amount of 4 dollars for the first 8 hours and an additional 2 dollars for each additional hour, how much money does he make?

Answers

20 - 8 = 12
8H = $4 x 8.... 32
12 x $2 = $24
$32 + $24 = $56

Please help.... I don’t understand

Answers

Answer:

$5

Step-by-step explanation:

Set up a system of equations

let b be the cost of a bow

let w be the cost of a roll of wrapping paper

This means that

[tex]5b + w = 10\\b + w = 6[/tex]

Subtract the two equations

[tex]5b + w = 10\\- (b + w = 6)\\4b = 4\\b = 1[/tex]

Plug this into the equation b + w = 6

1 + w = 6

w = 5.

This means the cost of a bow is $1 and the cost of a roll of wrapping paper is $5.

An athlete consumed 4,000 calories yesterday. Today, she consumed 3,800 calories. What is the percent change in number of calories consumed. Was this a percent increase or decrease? Round to the nearest percent.

Answers

It is a 200% decrease.

rsula's grandfather gave her $20 to spend on new songs and games for her phone. Ursula has already spent $4.50 on new songs. If each game costs $1.75, how many games can Ursula buy without spending more than her grandfather gave her? Use the following inequality to solve the problem.

Answers

8 games with $1.50 remaining

What is the area? Please help

Answers

Answer:

24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd

Answer: 61

Area of Square = [tex]7^{2}[/tex]

7 x 7 = 49

Area of Triangle = 1/2 (4) (3)

1/2 (4) (3) = 6

49 + 6 + 6 = 61

HELP ASAP PLEASE I KEEP GETTING IT WRONG:(

Answers

Answer:

I think it's the amount of money Mary earns for 10 hours worked.

Step-by-step explanation:

A tendency to avoid putting money into high-risk investments is known as being

a.risk-adverse
b.conscientious saver c.investment-adverse
d.saver​

Answers

Answer:

a

Step-by-step explanation:

Answer:

risk-adverse

Step-by-step explanation:

The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.

The figure shows the graphs of the functions y = f(x) and y = g(x) . The four indicat points all have integer coordinates. If g(x) = f(x) + k, what is the value of k?

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

2

Step-by-step explanation:

What is the value of h in the triangle below?​

Answers

Answer:

2

Step-by-step explanation:

That side has to be smaller than 3 since it’s the length of the bigger triangle side making 2 the only possible answer because it’s the smallest answer.

What is the volume of the prism?
*Do NOT round your answer.

Answers

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

[tex]Volume=lwh[/tex]

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

so

[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=300in³

HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS


for number 4 because it has select, the select are


first one under C) 66, 64, 67, 65

under B) 24, 23, 26, 25

under A) 15, 16, 17, 18

lowest under C) 40, 41, 42, 39

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.

.

.

.

.

.

.

..

also this one: Which of the following represents a Pythagorean Triple?

Group of answer choices


{21, 72, 75}


{11, 45, 60}


{5, 7, 10}


{10, 20, 30}

Answers

Answer:

I think the answer is {10,20,30} but please check it

Answer:

I only know the first one for right now and the answer is 17

Step-by-step explanation:

You got to find the value of x in the figure

To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2

x^2=64+225

x^2=289

Then it's x= 289 like this

[tex] \sqrt{289} [/tex]

Which gives you the answer 17

Let me know if this helps

How many different size triangles can be drawn with angle measures 90° , 45° , and 45°?

No trinalges

Exactly one triangle

Exactly two triangles

Any number of triangles

Answers

Answer:

the answer is the third one

5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank? ​

Answers

Answer:

8 ft.

Step-by-step explanation:

V = Bh        B = area of the base           h = height

The base is a circle, so [tex]B = \pi r^{2}[/tex]

320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]

[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]

r = 4

d = 8 ft.

4)What kind of shape do the parametric equations make?X= 7sin(theta), y= 2cos(theta)

A) Circle

B) Ellipse

C) Square

D) Parabola

Answers

Answer:

Ellipse

Step-by-step explanation:

Given

[tex]x = 7sin\theta[/tex]

[tex]y= 2cos\theta[/tex]

Required

The kind of shapes with such equations

This answer to this question is(B) Ellipse

The parametric equation of an ellipse is represented as:

[tex]x = asin(\theta)[/tex] and [tex]y = bcos(\theta)[/tex]

In this case:

[tex]a=7\ b = 2[/tex]

So:

[tex]x = 7sin\theta[/tex] and [tex]y= 2cos\theta[/tex]

50.6 is what percent of 55?
50.6 is % of 55.

Answers

Answer:

50.6 is 92% of 55

Step-by-step explanation:

50.6:55*100 =

(50.6*100):55 =

5060:55 = 92

Now we have: 50.6 is what percent of 55 = 92

Hope this helped!

Someone help and plz make sure it’s right

Answers

the answer is b because 80+60=140, -7 and then divide by three you get 11

Answer:

x=11

Step-by-step explanation:

3x+7+60+80=180

3x+147=180

3x=33

x=11

Hope this helps :D

BTW 180 degrees is how many degrees in a triangle

A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.

Answers

Answer: 11.31

Step-by-step explanation:

SOMEONE PLS HELP I HAVE LIKE A MINUTE LEFT!!!

Answers

Answer:

C

Step-by-step explanation:

I'll explain if you need but i'm trying to answer quick for you

Answer:

C

Step-by-step explanation:

3500(1.04)^15

6,303

so in 15 years it will be over 6,000 dollars in the account

John volunteers at the animal shelter on weekends. One Saturday, John unloaded 27 bags of dog food. Each bag weighed 35 pounds. How many ounces of dog food did John unload?

Answers

Answer:

945 ounces

Step-by-step explanation:

if you read it closley you will find that if you multiply you will get 945 ounces because all you have to do is multipply.

Would sinA 15/17 be corrrect?

Answers

Answer:

yes

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{17}[/tex]

PLEASE HELP MARKING BRAINIEST

Answers

Answer:

B 2

Step-by-step explanation:

Because the leading term makes the difference on whether a parabola opens upward or downward.

If the leading coefficient of the leading term (which is 2) is negative it opens downward. If it is positive like it is in the equation then it opens upward.

Hope that helps :)

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