For each one-year period after a car was purchased, its value at the end of the year was 17% less than its value at the beginning of the year. State whether the value of the car as a function of time after it was purchased is best modeled with a linear function, a quadratic function, or an exponential function and explain why. Enter your answer and your explanation in the space provided. If the value of the car 2 years after it was purchased is $17,842.51, what was the value of the car when it was purchased?

Answers

Answer 1

Answer:

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

The Value of car when it is purchased =  $25,900

Step-by-step explanation:

As given,

The value at the end of the year was 17% less than its value at the beginning of the year.

⇒ value at the end of the year = (100% - 17% ) = 83% of value at the beginning of the year.

Now,

Let the Value of car when it is purchased = x

So,

Price at the end of 1 year = 83% of x = 0.83x

Price at the end of 2 year = 83% of 0.83 x = (0.83)² x

Price at the end of 2 year = 83% of (0.83)² x = (0.83)³ x

and so on

Price at the end of n years = (0.83)ⁿ x

∴ we get

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

Now,

Value of car after 2 year = (0.83)² x = $17,842.51

⇒0.6889x = $17,842.51

⇒x = [tex]\frac{17,842.51}{0.6889}[/tex] = $25,900

∴ we get

The Value of car when it is purchased = x = $25,900


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Step-by-step explanation:

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Step-by-step explanation:

first find x

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Step-by-step explanation:

In rectangle, diagonals bisect each other and diagonals are equal.

So, AE = DE

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Answer:

12+(-4)+5j+(-2j)+5

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Answers

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Answer:

2, 4 and 8

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

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[tex]8^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{8}[/tex] = 2

(b)

[tex]8^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{8^{2} }[/tex] = 2² = 4

(c)

[tex]16^{\frac{3}{4} }[/tex] = [tex]\sqrt[4]{16^{3} }[/tex] = 2³ = 8

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Step-by-step explanation:

The graph of 3x - 5y = 12 is shown on the grid. Which ordered pair is in the solution set of 3x - 5y 2 12? es ) A) (0,5) B) (5,0) © (-3,5) D) (-5,3)​

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Answer:

i think itz C

Step-by-step explanation:

The required ordered pair is (5,0) in the solution set of the given inequality 3x - 5y ≥ 12. The correct answer would be option (B).

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Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given graph of 3x - 5y = 12 is shown on the grid.

To find the solution set of 3x - 5y ≥ 12, we need to shade the region of line 3x - 5y = 12 since it represents all the points that make the inequality true.

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Step-by-step explanation:

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Step-by-step explanation:

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Elena and jada are going home. Elena runs at a constant speed of 4 miles per hour, and jada walks at a constant speed of 2 miles per hour. How far will each one be after 1.5
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Answers

Answer:

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Jada will walk 3 miles in 1.5 hours

Step-by-step explanation:

Multiply: 4*1.5=6 (Elena's)

Multiply:2*1.5=3  (Jada's)

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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