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Rudiy27
3 years ago
7

if the value of a car is $22,000, and it depreciates by 15% each year. what is the car value after three years?

Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0
At the end of 1st year it depreciates by 15%, so it reduces by 100% - 15% = 85%

At the end of 2nd year it depreciates by 15% again, so it reduces by 100% - 15% = 85%

At the end of 3rd year it depreciates by 15% again, so it reduces by 100% - 15% = 85%

Net Value =  22000 * 0.85 * 0.85 * 0.85 = 13510.75

Value after three years = $13 510.75
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Create a 3rd degree polynomial function with one zero at three. Sketch a graph
DedPeter [7]

Answer:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

Step-by-step explanation:

We want to create a third degree polynomial function with one zero at three.

In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.

Since x=3 is a solution, x-3 is the only factor that repeats thrice.

f(x) =  {(x - 3)}^{3}

We expand to get:

f(x) =  x( {x}^{2}  - 6x  + 9) - 3( {x}^{2}  - 6x + 9)

f(x) =  {x}^{3}  - 6 {x}^{2}  + 9x- 3 {x}^{2}   + 18x  - 27

This simplifies to:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

See attachment for graph.

4 0
3 years ago
Determine if biconditional is true. <br> A) Felipe is a swimmer if and only if he is an athlete.
Fynjy0 [20]
It is not a true biconditional.
6 0
3 years ago
1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 t
NNADVOKAT [17]
1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680
4 0
3 years ago
Pls help with this one I will give you brainliest thank you!
finlep [7]

Answer:

\boxed{Volume \: of \: right \:  rectangular \: prism = 790 \: {meter}^{3}}

Explanation:

Volume of right rectangular prism is same as volume of cuboid

Length = 22.9 meters

Width = 7.5 meters

Height = 4.6 meters

Volume of right rectangular prism = Length × Width × Height

= 22.9 × 7.5 × 4.6

= 22.9 × 34.5

= 790.05 meter³

= 790 meter³

8 0
3 years ago
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
Cerrena [4.2K]

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

4 0
2 years ago
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