1.
A person deposits a certain amount of money in a continuously compounded
savings account which gives an annual rate of 3.24%. If 15 years later the account
shows \$4552.24, what was the original amount deposited? Round your answer to the
nearest whole dollar.
2.
A person deposits \$3550 in a continuously compounded savings account which
gives an annual rate of 3.24%. How much money will be in the account in 16 years?
3.
The population of a species introduced in a new territory is described by the
logistic function below. What will the population be in 26 years? Round your answer to
the nearest whole number value.
450/1+9e^0.192t
4.
A sample of 450 grams of radioactive material decays at a continuous rate of
3.2% per year. Find the amount of radioactive material left in the sample after 17 years.
5.
A total of 58 koala bears lived in a preserve in 1999. If their population follows an
exponential function with continuous growth of 12.3% per year, estimate the number of
koala bears that will be in the preserve in the year 2020. Round your answer to the
nearest whole number value.
6.
A piece of ham is removed from a 380 degree Farenheit oven and placed on a
cooling rack in the kitchen which is at a constant ambient temperature of 62 degrees
Farenheit. Assume that the cooling of the ham follows Newton's law of cooling, with a
characteristic parameter k of 0.114 (per minute). Estimate the ham's temperature half an
hour after it was removed from the oven. Round your answer to one decimal point.
7.
The value of a company's stock is given by the function below, where "t" is the
number of years since the year 2000. Estimate the stock's value in the year 2009.