Unit 5 Exponential & Logarithmic Functions Obj 4

Suppose you invest $1200 at an annual interest rate of 4.4% compounded continuously. How much will you have in the account after 1.5 years?

• $1281.87

• $215.29

• $2794.87

• $1880.97

The half-life of a certain radioactive material is 38 days. An initial amount of the material has a mass of 108 kg. Find how much radioactive material remains after 9 days.

• 0.165 kg

• 0 kg

• 91.649 kg

• 0.66 kg

The amount of people with the flu this season is increasing according to the following expression: P(1 + r)^t, where P represents the initial sick population, r represents the rate, and t represents the period of time. How does increasing the rate change the value of t?

• Increasing the rate will decrease the value of t.

• Increasing the rate will increase the value of t.

• Increasing the rate does not change the value of t.

• It is not possible to increase the value of t.

Mr. Jenkins bought a house in March 2003 for $220,000. In March 2013 it was worth $178,000. Assuming a constant annual rate of decrease in value, what function is the best model for the value of the house in dollars, where t is the number of years after 2003?

• f(t) = 220,000(0.979039)^t

• f(t) = 178,000(1.02141)^t

• f(t) = 178,000(0.979039)^t

• f(t) = 220,000(1.02141)^t

A shoe store ha $810,000 in sales revenue in 2001 and $680,000 in 2012. Assuming a constant annual rate of decrease, what is the predicted sales revenue for 2017?

• $620,909

• $628,021

• $527,228

• $631,725

The athletic participation at a high school has increased 45% during the last 12 years. Assuming that the participation increased at the same rate each year, which option shows the best approximation of the annual rate of increase?

• 3.8%

• 4.9%

• 3.1%

• 5.4%