Problema Solution

two investments totaling $47,500 produce an annual income of $3,050. once investment yields 5% a year, while the other yields 10% a year. how much is invested at each rate?

Answer provided by our tutors

let 'x' represent the amount invested at 5%, then '47400-x' represents the amount invested at 10%


interest = principal * rate * time

we assume time is equal to 1


3050 = 0.05x + 0.10(47400-x)

solving for 'x' we have x=33800


47400-33800 = 13600


$13,600 was invested at 10%, $33,800 was invested at 5%