Purchase Solution

# Exponential Function

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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?

2. World population growth. In 2008, the world population
was 6.7 billion and the exponential growth
rate was 1.14% per year.

a) Find the exponential growth function.
b) Predict the world population in 2014.
c) When will the world population be 8.0 billion?

##### Solution Summary

Exponential functions are examined for a laptop computers. A complete, neat and step-by-step solution is provided in the attached file.

##### Solution Preview

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 ...

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