Question

A business purchases a computer system for $5,300. The value of the system decreases at a rate of 12% per year. In how many years will the computer be less than $2200?​

Answer 1

Answer:

7

Step-by-step explanation:

If a system decreases by 12% it's the same as multiplying it by .12-1 or .88

This means we can create the following equation

computer value=5300(.88)^n

where n is the number of years

We can then plug in the value of the computer and solve for n

2200=5300(.88)^n

Divide by 5300 and get

.415=.88^n

Then put this into log form and get

$\frac{log(.415)}{log.88}$

Evaluate this into your calculator and get n=6.69 which I would probably just round to 7