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# Exponential Function V(t)

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A fax machine is purchased for \$5,800. Its value each year is about 80% of the value of the preceding year. So after t years the value, in dollars, of the fax machine, V(t), is given by the exponential function

V(t) = 5800 (0.8)t.

a. Give a sketch of the graph of the function V(t). Your graph can be a "rough draft".
b. Determine the value of the fax machine in years 0, 1 and 4. to the nearest tenth.
c. Assume that the company decides to replace the machine when the machines values reduces to \$500. In how many years will the machine be replaced.

https://brainmass.com/math/functional-analysis/exponential-function-v-t-585803

#### Solution Summary

Word document attached gives a sketch of the graph and the value of a fax machine after some years in service.

\$2.19

## Exponential Function Amounts

1. A laptop computer is purchased for \$1500. Its value each year is about 80% of its value in the preceding year. Its value in dollars after t years is given by the exponential function
V(t) = 1500(0.8)^t.

A)After what amount of time will the computer's value be \$900?
B)After what amount of time will the computer's value be half the original value?