Larry Mitchell invested part of his $ 24 comma 000 advance at 4 % annual simple interest and the rest at 7 % annual simple interest. If his total yearly interest from both accounts was $ 1 comma 260 , find the amount invested at each rate.

Amount invested at 4% is $14,000

Amount invested at 7% is $10,000

Explanation:

Data provided in the question:

Total amount invested = $24,000

Total yearly interest = $1,260

Now,

Let the amount invested at 4% annual simple interest be 'x'

Thus,

the amount invested at 7% annual simple interest will be $24,000 - x

Total interest earned = Interest at 4% + Interest at 7%

$1,260 = 0.04x + 0.07 (24,000 - x)

or

$1,260 = 0.04x + 1680 - 0.07x

or

-420 = - 0.03x

or

x = $14,000

Hence,

Amount invested at 4% is $14,000

Amount invested at 7% is (24,000 - 14,000) = $10,000