Growth Periods - Continuous Growth
I have to work on these questions and write the answers down in an essay. Who can help me?? :)
In this project you will compare saving plans. For instance, you deposit $1000 in a savings account and the following options are given:Thanks for reading :)
a. 6.2% annual interest rate, compounded annually
b. 6.1% annual interest rate, compounded quarterly
c. 6.0% annual interest rate, compounded continuously
1) For each option, write a function that gives the balance as a function of the time t (in years).
2) Find the balance for the three options after 25, 50, 75 and 100 years. Is the option that yields the greatest balance after 25 years the same option that yields the greatest balances after 50, 75, 100 years? Explain!
3) Use a graphing utility to graph all three functions in the same viewing window. Can you find a viewing window that distinguishes among the graphs of the three functions? If so, describe the viewing window.
4) The effective yield of a savings plan is the percent increase in the balance after 1 year. Find the effective yields for three options listed above. How can the effective yield be used to decide which option is best?