b. How much money will Thomas have in his bank account in 2012? The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of animals in the habitat you are studying. a. What percentage of species will be left each year? b. Write a function that models the change in animal population. c. Estimate the number of years until the population first drops below 15 animals. nt ooote S11 800 The exnected depreciation of the car is 35% per vear

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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a. Set up a function that shows how much money Thomas will receive each year.
b. How much money will Thomas have in his bank account in 2012?
) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of t
animals in the habitat you are studying.
a. What percentage of species will be left each year?
b. Write a function that models the change in animal population.
c. Estimate the number of years until the population first drops below 15 animals.
4) Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 35% per year.
a. What percentage is the car worth each year it depreciates from the previous year?
b. Find the depreciated value of the car after 6 years.
5) Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the
function v(x)=30,000(0.78)* , where x is the number of years since he made his investment. Which statemen
describes the rate of change of the value of his portfolio?
(1) It decreases 78% per year.
(3) It increases 78% per year.
(2) It decreases 22% per year.
(4) It increases 22% per year
- 8 -
6) The value in dollars, v(x), of a certain car after x years is represented by the equation v(x)=25,000(0.86)* . To
the nearest dollar, how much more is the car worth after 2 years than after 3 years?
(1) 2589
(2) 6510
(3) 15,901
(4) 18,490
7) You purchased $135,000 worth of stocks in a major company and find that the stock increases annually at a
rate of 15% every year. Which function below best describes the value of your stock after n years?
(a) f(n) = 135,000(1.15)"
(c) f(n) = 135,000(.85)"
(b) f(n) = 135,000(1.15n)
(d) f(n) = 135,000(.85n)
25
tv
MacBook Pro
23
%24
Transcribed Image Text:a. Set up a function that shows how much money Thomas will receive each year. b. How much money will Thomas have in his bank account in 2012? ) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of t animals in the habitat you are studying. a. What percentage of species will be left each year? b. Write a function that models the change in animal population. c. Estimate the number of years until the population first drops below 15 animals. 4) Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 35% per year. a. What percentage is the car worth each year it depreciates from the previous year? b. Find the depreciated value of the car after 6 years. 5) Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the function v(x)=30,000(0.78)* , where x is the number of years since he made his investment. Which statemen describes the rate of change of the value of his portfolio? (1) It decreases 78% per year. (3) It increases 78% per year. (2) It decreases 22% per year. (4) It increases 22% per year - 8 - 6) The value in dollars, v(x), of a certain car after x years is represented by the equation v(x)=25,000(0.86)* . To the nearest dollar, how much more is the car worth after 2 years than after 3 years? (1) 2589 (2) 6510 (3) 15,901 (4) 18,490 7) You purchased $135,000 worth of stocks in a major company and find that the stock increases annually at a rate of 15% every year. Which function below best describes the value of your stock after n years? (a) f(n) = 135,000(1.15)" (c) f(n) = 135,000(.85)" (b) f(n) = 135,000(1.15n) (d) f(n) = 135,000(.85n) 25 tv MacBook Pro 23 %24
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