## Initial value: Decay Factor”

Initial value: Decay Factor”
Growth Factor:
Percent Chan ge:
Percent Change: . . 0 r
Function Formula: Function Formula.
29. An investment of \$9000 decreased by 2.4% each month.
a. Determine the initial value of the investment, the l-month decay factor. and the l-month percent
change of the investment.
b. Define a function f that determines the value of the investment in terms of the number of months
since the initial investment was made.
c. Determine the value of the investment 12 months after the money was 1nvested.
30. The population of Canada in 1990 was 27,512,000 and in 2000 it was 30,689,000. Assume that
Canada’s population increased exponentially over this time.
a. Determine the initial value, the 10-year growth factor, and the 10-year percent change of Canada’s
population.
b. Define a fianction f that defines the population of Canada in terms of the number of decades
(10-year periods) since 1990.
c. Assuming Canada’s growth rate remains consistent, predict the approximate population of Canada
in 2030.
31. One year after an investment was made, the amount of money in the account was \$1844.50. Two
years after the investment was made, the amount of money in the account was \$2001.28.
a. Determine the initial value of the investment, the investment’s l-month growth factor, and the
investment’s l-month percent change.
b. Define a function f that defines the value of the investment in terms of the number of months
0. Determine when the value of the investment will reach \$4000.
32. The mass of bacteria in a Petri dish was initially measured to be 14 micrograms and increased by
12% each hour over a period of 15 hours.
3. Determine theI-hour growth factor of the bacteria.
b. By what total percent did the bacteria increase during the 15-hour time period?
0, Determine how long it will take for the mass of bacteria to double.