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Yakvenalex [24]
3 years ago
8

How many years after purchase will vishals car be worth $10,000

Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0

Answer:

log(0.4444^(-12))

Step-by-step explanation:

To find when the car will worth $10,000, we just need to use the value of V = 10000 and then find the value of t:

10000 = 22500 * 10^(-t/12)

10^(-t/12) = 0.4444

log(10^(-t/12)) = log(0.4444)

(-t/12)*log(10) = log(0.4444)

-t/12 = log(0.4444)

t = -12 * log(0.4444) = log(0.4444^(-12))

As the answer needs to be expressed as a base 10 logarithm, we have that the car will worth $10,000 when t = log(0.4444^(-12)) years

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x^2 +3x-4

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Please please help <br><br> Given the function f(x)=1/3x*2-3x+5 determine the inverse relation
yuradex [85]

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<h3>How to determine the inverse relation?</h3>

The function is given as

f(x)=1/3x^2-3x+5

Start by rewriting the function in vertex form

f(x) = 1/3(x - 9/2)^2 -7/4

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y = 1/3(x - 9/2)^2 -7/4

Swap x and y

x = 1/3(y - 9/2)^2 -7/4

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Multiply by 3

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Take the square roots

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This gives

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Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)

Read more about inverse functions at:

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2 years ago
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