Exponential and Logarithmic Models

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

• $4915.59
• $3933.28
• $2979.81
• $4005.09

An initial investment of $500 produces $1,505.00 after 10 years compounded continuously. What was the annual interest rate?

• 15%

• 11%

• 48%

• 26%

An initial investment takes 12 years to double when compounded continuously. What was the annual interest rate?

• 16.521%

• 3.105%

• 27.894%

• 5.7762%

Determine the principal, P, that must be invested at 3.5% compounded monthly, so that $500,000 will be available after 15 years.

• $296,003.78

• $328,684.18

• $198,326.12

• $401,256.71

• 5

• 5, -7

• -3, 5

• -7

Solve

• -1/3

• -3

• -1

• 3

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Determine which functions model exponential decay.

Use Properties of Logarithms to fully expand.