# EXPONENTIAL GROWTH AND DECAY PROBLEMS :

pavan1001
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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?
Round your answer to the nearest cent.
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.
Round your answer to the nearest whole gram.
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.
Round your answer to the nearest whole number value.
V(t)=e^0.582t
8.
A bacteria culture grows at a continuous rate of 2.3% per minute. How many
bacteria will there be after 35 minutes, starting with a sample of 2,500,000 bacteria?
Round your answer to the nearest whole number value.

• 7 years ago