Monthly payment on a loan: If you borrow $5000 at an APR of r (as a decimal) from a lending institution that compounds interest continuously, and if you wish to pay off the note in 3 years, then your...

Monthly payment on a loan: If you borrow $5000 at an APR of r (as a decimal) from a lending institution that compounds interest continuously, and if you wish to pay off the note in 3 years, then your monthly payment M, in dollars, can be calculated using

Your budget will allow a payment of $150 per month, and you are shopping for an interest rate that will give a payment of this size. What interest rate do you need to find?