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lys-0071 [83]
3 years ago
6

A $4 sales tax is charged for a $50 purchase. At this rate, what is the sales tax for a $1200 purchase?

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

$96

Step-by-step explanation:

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(3,4)

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An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =
Mamont248 [21]
<h2>The car is about 6.6 years old.</h2>

Step-by-step explanation:

Given : An equation for the depreciation of a car is given by y = A(1-r)^t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%.

To find : Approximately how old is the car?

Solution :

The value of a car is half what it originally cost i.e. y=\frac{1}{2} A

The rate of depreciation is 10% i.e. r=10%=0.1

Substitute in the equation, y = A(1-r)^t

\frac{1}{2} A= A(1-0.1)^t

\frac{1}{2}= (0.9)^t

Taking log both side,

\log(\frac{1}{2})=t\log (0.9)

t=\frac{\log(\frac{1}{2})}{\log (0.9)}

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t\approx 6.6

Therefore, the car is about 6.6 years old.

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3 years ago
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