Investment account at Bank of America: This Investment account is mostly straight forward. Bank of America takes your money and compounds interest yearly at a rate of 4%. However, every year Bank of America charges $100 to use their service.

Investment account at Chase Bank:
This Investment account is a bit more involved.
Chase Bank take your money and calculate interest using the following
equation: y = a : 1.06+ where the x is years and the y is thousands of dollars and a is the starting amount. However,
Chase Bank has a scaling charge. After the first year, they charge y = log3 x where the x is years and the y is thousands
of dollars.

1. Answer the following questions while ignoring Bank of America's $100 charge. For each question, show your work and explain your

a. Write an equation for Bank of America's investment account.

b. Find the inverse of this equation.

c. Which bank account is the best 20-year investment?

d. Which bank account is the best 30-year investment?

e. Let's say our initial investment was in the year 2020. Around what year would the two bank accounts give the same amount of money?

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