Determine the implications of investment compounded at different rates an for different lengths of time.

math skills: graphing exponential functions, interpreting a graph, determine a point of intersection on a graph.

write-up: you must answer each question using complete sentences. Graphs should be neat and accurate with appropriate labels.

Scenario: you have been hired as a financial advisor to Ann and Bob who wish to invest in a no-risk saving account. they currently have $25,000 in an account bearing 5 1/4% annual interest, compounded weekly. the following options are available to them:

a) keep the money in the account they acurrently have

b) invest the money in an account bearing 5 7/8% annual interest, compounded annually or

c) invest the money in an account bearing 5 1/2% annual interest compounded quarterly

Analysis:

1. determine an equation to represent the value of each investment as a function of time for the three options.

Equation a:

Equation b:

Equation c:

2. use you graphing calculator to complete the table that gives the value of each investment at one year increments for the first 6 years.

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