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

I cant seem to figure this out. Help

Answers

You’re gonna figure out the area of each side first. I’d recommend labeling them by letter to help keep track. Do 8x5=40 then multiply 40 by 2 (because there are two sides that are 8x5) then do 3x4 which is 12 usually you would divide 12 by 2 to get the area of a triangle but in this case just leave it alone because there are two triangles. Then do 3x8 for the rectangle (24) then you’re gonna add all the sides together. So 40+40+12(or 6+6) +24...youre answer should me 116

Answer:

108 cm^2

Step-by-step explanation:

This solid is a triangular prism.

The total surface area is made up of the area of 5 faces.

The front and rear faces are called the bases and are two congruent triangles.

The other three faces are three rectangles and form the lateral area.

SA = area of bases + lateral area

The area of the bases is 2 times the area of a triangle.

The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.

SA = 2 * bh/2 + PH

where

b = base of triangular base,

h = height if triangular base,

P = perimeter of the base, and

H = height of the prism

SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)

SA = 12 cm^2 + 96 cm^2

SA = 108 cm^2

Greg sells cars. He makes a base salary of
$350, plus $734 per car he sells. Write a
function that models this situation. (y = mx +
b)

Answers

Answer:     y = 734x + 350

Step-by-step explanation:

y = mx +  b

let x be the number of cars he sells, then:

y = 734x + 350

Graph a line that goes through (0, -2) and grows by 4

Answers

I’ve attached a sketch of what it would look like

please help me to find ​

Answers

Answer:

2/3

Step-by-step explanation:

10/15 = 2/3

15/24 = 2/3

Help plz :)


Determine the measure of each unknown angle using the diagram.

Answers

a. m2 = 74°
b. m3 = 74°
c. m4 = 106°

:)

13.8ft
15.6ft
23.4ft
46.8ft

Answers

Answer:

it is 15.6ft because you need to add 7.8+7.8= 15.6ft

Please please please help *URGENT*

Answers

Answer:

1 = Communative property of addition

2 = distribution property

3 = Associative property of multiplacation

4 = Communative property of multiplacation

5 = Associative property of addition

Hope this helps! :) Please Ignore my bad spelling

Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!

What’s smaller... 1.6 or 1.12 ?

Answers

1.12 is smaller
keep in mind that there’s two decimal places, which automatically makes it smaller

Answer:

1.12

Step-by-step explanation:

1.6 1.12

Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?

Answers

Answer: 35%

Step-by-step explanation:

Given

Weight measured by Leo [tex]W_1=27\ pounds[/tex]

Weight measured by the clerk [tex]W_2=20\ pounds[/tex]

Percentage error is

[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]

Putting values

[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]

Find the surface area of the prism

Answers

slated surface

17 × 20 = 340

2 triangle sides

2 × 8 × 15 ÷ 2 = 120

backside

8 × 20 = 160

bottom

15 × 20 = 300

sum all of it

340 + 120 + 160 + 300 = 920

can I get brainliest

The inequality -2(x + 10) > 75 says the same thing
as - 2x - 20 > 75. I can multiply by -2 on the left
side without reversing the inequality symbol
True
False

Answers

Answer: False. When multiplying or dividing by an negative inequality you flip the sign.

Step-by-step explanation:

Carlos has read 45% of his book. If his book has 480 pages, how many pages has he read?

Answers

Answer is 216 pages read. Equation if needed would be p=.45*480

.necesito resolver estas operaciones con factorial ayuda por favor



- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)


2. (6ǃ-4ǃ)/2ǃ

2ǃx3ǃx4ǃ/(5ǃ+4ǃ)


R = 10ǃx8ǃ/(6ǃ+5ǃ)


((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

Answers

Answer:

A. 4

B. 348

C. 2

D. 174182400

E. x = 2

Step-by-step explanation:

Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)

             B = (6ǃ-4ǃ)/2ǃ

             C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)

             D = 10ǃx8ǃ/(6ǃ+5ǃ)

             E -  ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

Proof -

A.

(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]

                                  = 2! [ 4×3 + 1 + 3] / 2! [3 + 1]

                                  = [12 + 1 + 3] / [4]

                                  = [16] / [4] = 4

⇒(4! + 2! + 3! )/ (3! + 2!) = 4

B.

(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!

              = 4! [6×5 - 1] / 2!

              = 4×3×2! [ 30 - 1] / 2!

              = 12 [29] = 348

⇒(6ǃ-4ǃ)/2ǃ = 348

C.

2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]

                         = 2!×3!×4! / 4! [ 5 + 1]

                         = (2×1) × (3×2×1) / 6

                         = 12 / 6 = 2

⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2

D.

10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×6)

                      = 174182400

⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400

E.

((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!

[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)!  [ (x+4)+ 1] = 6!

[(x+5)(x+4)(x+3)! / (  [ x+ 5 ] = 6!

(x+4)(x+3)! = 6!

(x+4)! = 6!

x+ 4 = 6

x = 6 - 4

x = 2

Note :

x! = x(x-1)(x-2).......(4)(3)(2)(1)

Complete the following equation <, >, or = 3.20_ 3.02

Answers

Answer:

Step-by-step explanation:

3.20 ___ 3.02 A.

The following equation 3.20 > 3.02

Answer:

(>) This is your answer ☺️☺️☺️

Someone please help me!!!!!

Answers

6) 4/50 = 1/8
7) 1/8 times 160/1 = 20

In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?

Answers

Answer:

750 of 100,000 chips would be expected to be defective.

Step-by-step explanation:

(3/400) and (?/100,000)

100,000 ÷ 400 = 250.

Multiply 250 by 3 to find the number of defective chips.

250 x 3 = 750.

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

C. The initial amount of money in the account

Answer:

C

Step-by-step explanation:

250 represent the amount of money that they started off with

1.05 represent how much the money in the account is increasing by

and x represent the amount of months that have passed

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number​

Answers

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

24m-²n x 1/4mn
please need help

Answers

Answer:√ 25

log

13 ( 28 )

√ 75

Step-by-step explanation:

I’m sorry I don’t know this one lol

Simplify the polynomials. : 27. 97 + 47+ n​

Answers

Answer:

74.97+n

Step-by-step explanation:

We need to simplify the given polynomial i.e.

27.97 + 47+ n​

Here, n is a constant number

Firstly we add 27.97 and 47 such that,

27.97 + 47+ n​ = 74.97+n

Hence, the simplified form is 74.97+n.

Solve these simultaneous equations:

2x + 4y = 38

7x - 4y =7

Answers

Answer:

Step-by-step explanation:

Answer:

x=5, y=7

Step-by-step explanation:

2x+4y= 38

+7x-4y= 7

9x= 45

9x/9= 45/9

x=5

2x+4y=38

2(5)+4y= 38

10+4y= 38

-10 -10

4y= 28

4y/4= 28/4

y=7

Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe drink in 3 weeks? (round to nearest whole number for answer, there are 2 steps to this problem first set up proportion)

Answers

Answer:

8gallons

Step-by-step explanation:

If Joe drinks 10 liters of water every week, then;

10liters = 1 week

After 3weeks;

x litres =3 weeks

Divide both expressions

10/x = 1/3

x = 3*10

x = 30litres

This means he consumes 30litres in 3 weeks

If there are approximately 19 liters in 5 gallons, the;

19litres = 5gallons

To determine the number of gallons consumed in 3 weeks;

30litres = y

Divide both expressions

19/30 = 5/y

Cross multiply

19 * y = 30*5

19y = 150

y = 150/19

y = 7.89

y ≈ 8 (to nearest whole number)

Hence Joe drinks 8gallons of water in 3weeks

A jet, cruising at 26,400 feet, begins its descent into JFK Airport, when it is 96 miles away. Another jet, cruising at 31,680 feet, is 120 miles from JFK when it begins its descent. Which of these two paths of descent is steeper? Is a linear model reasonable to use in this situation? Explain.

Answers

9514 1404 393

Answer:

  first jet is steeper; not unreasonable

Step-by-step explanation:

The slopes in feet per mile for the two jets are ...

  (26,400 ft)/(96 mi) = 275 ft/mi

  (31,680 ft)/(120 mi) = 264 ft/mi

The descent of the first jet is steeper.

__

The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.

Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.

_____

Additional comment

Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.

These word questions confuses me, can someone explain this step by step

Answers

Answer:

[tex]10\pi \: cm[/tex]

Step-by-step explanation:

Please mark as brainliest

please help me i need it

Answers

Answer:

n umber 3 is b and 4 is d

Step-by-step explanation:

20 Points for 4 questions. BRAINLIEST also

Answers

Answer:

Image #1: -8 and 8

Image #2: -17 and -1

Image #3: 8 and 4

Image #4: -10±5√2

I’m giving 30 points please help

Answers

Answer:

Triangle A

Step-by-step explanation:

Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.

pls help :D
i know how to do this but still

Answers

Answer:

x = 12

Step-by-step explanation:

[tex]3x-19=\frac{7}{4} x-4\\\\3x-\frac{7}{4} x=-4+19\\\\\frac{5}{4} x=15\\\\x=12[/tex]

PLZZZ HELP 25 POINTS HERE PLZZZ HELP

Answers

Answer:

Step-by-step explanation:

The first one is a wide U above the X axis.

The second one is an upside down U below the X axis.

The third one is a narrow U above the X axis.

The center of the U should always be the origin.

Answer:

Step-by-step explanation:

The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams

Answers

Answer:

HELP ME!?

Step-by-step explanation:

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