8.The selling price of a car is $46,000, Each year it loses 16% of its value. Write the exponential functionat gives the value of the car t years after its purchase. Write your answer in the form f) = a(b)

Introduction: Depreciation is the term used to describe the loss in the value of fixed assets owing…

Answered: 8. The selling price of a car is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 8T

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Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
You invest $500 at an annual interest rate of 5.25, compounded continuously. How long will it take your money to double? Compare your result with that of Example 10.

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8. The selling price of a car is $46,000. Each year it loses 16% of its value. Write the exponential function hat gives the value of the car t years after its purchase. Write your answer in the form f@) = a(b)