Question

Fill in the blank so that the resulting statement is true. The combined yearly interest for x dollars invested at 12% and $40,000 − x dollars invested at 9% is:

a. 0.12x+0.09(40,000−x)
b. 0.12(40,000−x)+0.09x
c. 0.21x−0.09(40,000)
d. 0.12x−0.09(40,000−x)

Answer 1

The correct fill-in-the-blank statement that gives the combined yearly interest from two separate investments, one with x dollars at 12% and the other with $40,000 minus x dollars at 9%, is option (a): 0.12x + 0.09(40,000 - x).

Step-by-step explanation:

To fill in the blank so that the resulting statement is true regarding the combined yearly interest from two separate investments, it's necessary to calculate the amount of interest that comes from each investment and then add those amounts together.

For x dollars invested at 12%, the interest is 0.12x. For $40,000 minus x dollars invested at 9%, the interest is 0.09(40,000 - x).

Adding these two amounts together gives the total interest from both investments: 0.12x + 0.09(40,000 - x).

Thus, the correct fill-in-the-blank statement is option (a).