Question

The combined yearly interest for x dollars invested at 12​% and 45,000−x dollars invested at 8​% is​ ________.

Answer 1

.12x + .08(45000-x)
.12x + 3600 - .08x
.12x - .08x + 3600
.04x + 3600

combined yearly interest =  .04x + 3600

Answer 2

Answer:

$3600+0.04x$

Step-by-step explanation:

We are asked to find the combined yearly interest for both amounts.

The interest for x dollars invested at 12​% would be 12% of x.

$12\%\text{ of }x=\frac{12}{100}x=0.12x$

The interest for $45,000-x$ dollars at 8% would be 8% of $45,000-x$.

$\frac{8}{100}(45,000-x)$

$0.08(45,000-x)$

$3600-0.08x$

Combined interest: $3600-0.08x+0.12x$

$3600+0.04x$

Therefore, the combined tax would be $3600+0.04x$.