Problema Solution

an actor invests some money at 6% and $43000 more than four times the amount at 9%. The total annual interest earned from the investment is $40410. How much de he invest at each amount?

Answer provided by our tutors

let 'x' represent the amount of money invested at 6%, then '4x+43000' represents the amount invested at 9%


interest = principal * rate * time

we take time to be equal to 1


40410 = 0.06x + 0.09(4x+43000)

solving for 'x' we have x=87000


4*87000 + 43000 = 391000


the actor invested $87,000 at 6% and $391,000 at 9%