An actor invested some money at 7% simple interest, and $37,000 more than four times the amount at 10%. The total annual interes

Question

Nimfa-mama [501]

3 years ago

14

An actor invested some money at 7% simple interest, and $37,000 more than four times the amount at 10%. The total annual interes

t earned from the investment was $49,290. How much did he invest at each amount?

Mathematics

2 answers:

DedPeter [7] · Answer 1 · 2022-05-25T23:21:58+03:00

DedPeter [7]3 years ago

7 0

I think the answer is 42,120. Hope this helps.

aleksley [76] · Answer 2 · 2022-05-26T01:42:03+03:00

Let the amt invested at 7% be represented by x.
Then the amt invested at 10% would be 4x + 37000.

The amts of interest that add up to $49290:

0.07x + 0.10[4x+37000] = 49290

Then 0.07x + .40x + 3700 = 49290

Combining like terms, 0.47x = 45590. Then x = $97000.

$97000 was invested at 7% and 4($97000) + $37000, or $425000, at 10%.