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.

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