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EXPONENTIAL FUNCTIONS WORD. PROBLEMS WORKSHEET (WITH ANSWERS) 1. The population of a small town can be modelled by the exponential function. P(t) = 5000(1.02) , where t represents the number of years since the current population count. a) In the equation provided, what does 5000 represent? What does 1.02 represent?
There are four variables, the initial amount, y0, the time t, the growth factor k, and the current amount y: You should be comfortable with nding any one of these four, given the other three. You should also try to understand how changing any one of these a ects the others.
function V (t) = Vo × (5 8) t, where Vo represents the initial value, t is in years, and V (t) represents the value after t years. (a) How much is a large earthmover worth after 1 year if it cost $64 thousand new? (b) How many years does it take for the copier to depreciate to a value of $25 thousand? 11) Margaret Madison, DDS, estimates that
Will he need to make a larger or a smaller initial investment than in part (a)? (First think through this without calculations. Then nd the exact answer. Be sure to check that these are consistent.) (c) Suppose the interest rate is 4% again, but now he would like to have the $20; 000 in four years. How much does he need to invest?
(a) Find a function P that models the population after t years. (b) What does the model predict for the population in 2015? (c) In what year will the population of the world have doubled?
Write an exponential function to model each situation. Find each amount at the end of the specified time. Round your answers to the nearest whole number. 1. A town with a population of 5,000 grows 3% per year. Find the population at the end of. 10 years. 2. Amy makes an initial investment of $5000. The investment loses 13.5% each year.
Exponential Function Word Problems Exponential Model Compound Interest Continually Compounded Interest 1. Paul invests $6500 in an account with a 3.2% annual interest rate, compounded continuously. How long will it take for his balance to reach $11,000? 2. Sara invests $3000 in an account with a 10% annual interest rate, compounded monthly.
