Mathematics: Paulo has a certain amount of money.if he spends $600,then he has 1forth of the original amount left.

Paulo has a certain amount of money.if he spends $600,then

meramera50

31.08.2021

The car is 6.5 years old

Step-by-step explanation:

An equation for the depreciation of a car is given by y = A(1 - r)^t

y = current value of the car

A = original cost

r = rate of depreciation

t = time in years

The value of a car is half what it originally cost

So, $y = \frac{A}{2}$

The rate of depreciation is 10% = 0.1 =r

Substitute the values in equation

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

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

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

0.5=0.9^t

t=6.57

Hence The car is 6.5 years old

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