If you put $10,000 in a savings account that earns 3.5% interest per year compounded monthly, how much would you expect to have in that account in 5 years?

im pretty sure its

(8,15)

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: