Ineed with this i need to turn it in by tomorrow soit has two parts
a saving account is started with an initial deposit of $500. the account earns 1.5% interest compounded annually.
part a) write n equation to represent the amount of money in the account as a function of time in years.
part b) find the amount of time it takes for the account balance to reach $800. show work!

Total = Principal * (1 + rate)^years
Total = 500 * (1.015)^n
where n = number of years
If you need to know how long it will take to reach $800, you will have solve the equation for years
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = {log(800) -log(500)} ÷ log(1.015)
Years = 2.903089987 - 2.6989700043 / 0.0064660422492
Years = 0.2041199827 /  0.0064660422492
Years = 31.567993965
About 31 and a half years.
Here's a calculator to check the result
http://www.1728.org/compint.htm