# On federal income tax returns, self-employed people can depreciate the value of business equipment.

3 answers

###### Question:

On federal income tax returns, self-employed people can depreciate the value of business equipment. suppose a computer valued at $2765 depreciates at a rate of 30% per year. estimate the number of years it will take for the computer's value to be less than $350.

## Answers

After 6 years and with a depreciation rate of 30%, the computer's book value would be less than $350.

5.8 yr

If it depreciates 30% each year it must retain 70% of its value each year.

Equation:

A(t) = A(0)*0.70^t

Your Problem:

2765(0.70)^t < 350

0.70^t < 0.1265823...

Taket the log of both sides to get:

t*log(0.70) < log(0.1265823..)

Solve for "t":

t > -0.897627.. / -0.1549020

t > 5.7948 years

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