Question

Mr. Silverstone invested some money in 3 different investment products. The investment was as follows:

a. The interest rate of the annuity was 4%.

b. The interest rate of the annuity was 6%.

c. The interest rate of the bond was 5%.

d. The interest earned from all three investments together was $950.

Which linear equation shows interest earned from each investment if the total was $950?

a.) a + b + c = 950
b.) 0.04a + 0.06b + 0.05c = 9.50
c.) 0.04a + 0.06b + 0.05c = 950
d.) 4a + 6b + 5c = 950

Answer 1

Answer: c.) 0.04a + 0.06b + 0.05c = 950

Explanation:

To find interest per investment you need to multiply the percentage interest rate by the value of the investment.

When written in linear equations, percentages are converted to decimal form.

4% = 1/100 = 0.04

6% = 6/100 = 0.06

5% = 5/100 = 0.05

These are the interest rates that when multiplied by their investments, will give a total of $950.

0.04 * a + 0.06 * b + 0.05 * c = 950

0.04a + 0.06b + 0.05c = 950

Option c is therefore correct.