Question

Two investments totaling $50,500 produce an annual income of $3675. One investment yields 9% per year, while the other yields 6% per year. How much is invested at each rate?

only answers
9%=
6%=

Answer 1

Answer:

9% investment = $21500

6% investment = $29000

Step-by-step explanation:

Define x:

Let x be sum that yields 9%.

(50500 - x ) will be the sum that yields 6%.

Solve x:

/* The total amount yield is $3675 */

0.09x + 0.06(50500 - x) = 3675

0.09x + 3030 - 0.06x = 3675

0.03x = 645

x = 21500

Find the amount:

9% investment = x = $21500

6% investment = 50500 - x = 50500 - 21500 = $29000

Answer: 9% investment = $21500, 6% investment = $29000