The accompanying table shows the value of a car over time that was purchased for 16100 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the value of the car, to the nearest cent, after 16 years.

Answers

Answer 1

The value of car to the nearest cent, after 16 years will be $882.

Define the term exponential regression?It is a concept that describes processes that increase at a twice as fast rate. It is employed when the growth starts slowly but quickly accelerates without bounds or when the decay begins strongly but subsequently decelerates to zero.

The preceding table displays the increase in value of a car that cost $16,100 over time, where x represents the number of years and y represents the car's cash value.

The formula for the exponential regression will be as follows:

y = A₀e∧(kx)

Where k is a constant and A₀ is the exponential regression coefficient.

So value of y would be $16,100 if x = 0. Next, we have

16,100 = A₀ e∧(k*0)

A₀ = 16,100

The equation will then be:

y = 16,100e∧(kx)

Hence value of y would be $13,431 if x = 1. Next, we have:

13,431 = 16,100e∧(k*1)

e∧(k) = 0.834

Considering all sides, we then have:

ln e∧(k) = ln 0.834

k = -0.181

The equation will then be:

y = 16,100e∧(-0.181*x)

For 16 years,

y = 16,100e∧(-0.181*16)

y = 16100*0.054

After that, a car's value will be:

y = 882

Thus, the value of the car to the nearest cent, after 16 years will be $882.

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The Accompanying Table Shows The Value Of A Car Over Time That Was Purchased For 16100 Dollars, Where

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Answers

Answer: 75 minutes per hour.

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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(1 , 1)

(5 , 5)

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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3.5 m = 350 cm

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Answer:

CD- transversal

XY AND ZW - parallel lines

and the other vertical angles

Answer:

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Step-by-step explanation:

In ΔRST, the measure of ∠T=90°, TS = 65, SR = 97, and RT = 72. What ratio represents the cotangent of ∠S?

Answers

Answer:

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Step-by-step explanation:

Given that ∠T=90° then the triangle ΔRST is a right angled triangle. Considering ∠S, RT is the opposite side, TS is the adjacent side and RS is the hypotenuse side. Using the notation

SOH CAH TOA

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Question 2
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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

she added 8x to each side but she was actually supposed to subtract

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The solution is:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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--- x ---

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Answers

Answer:

Given,

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x/ y = k

Step-by-step explanation:

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i don't see the question, but i can help you

Step-by-step explanation:

4 Eric sketches a rectangle with a perimeter of
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2(x) + 2(x + 3) = 90

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Answers

Answer:

Tenemos 3 formas de escribir cada intervalo, una es con solo texto, la otra es usando los símbolos { <, >, ≤, ≥ }, y la última es con intervalos, donde:

( se usa para " < x "

) se usa para " > x "

[ se usa para " ≤ x "

] se usa para " ≥ x "

a) -2 ≤ x ≤3

Esto se escribe como:

"números mayores o iguales que -2 y menores o iguales que 3"

[-2, 3]

b) Números mayores que –1

Las otras formas de escribir esto son:

-1 < x

y no tenemos limite mayor, entonces:

(-1, ∞)

con -∞ y ∞ siempre se usan los símbolos ( o )

c) (–[infinity], –5]

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"Un numero menor o igual que -5"

x ≤ -5

d) Números mayores o iguales que –7 y menores que 19

Las otras notaciones son:

-7 ≤ x < 19

[-7, 19)

e) Números mayores que 9 y menores que 5.

Las otras formas de escribir esto son:

5 < x < 9

(5, 9)

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