Ms. garza invested $50,000 in three different accounts. she invested three times as
much money in an account that paid 8% interest than an account that paid 10% interest.
the third account earned 12% interest. if she earned a total of $5160 in interest in a year,
how much did she invest in each account?

The amount invested in the account that paid 8%  was $18,000

The amount invested in the account that paid 10%  was $6,000

The amount invested in the account that paid 12%  was $26,000

Step-by-step explanation:

Let

3x -----> the amount invested in the account that paid 8%

x -----> the amount invested in the account that paid 10%

$50,000-4x ----> the amount invested in the account that paid 12%

in this problem we have

we know that

Solve for x

therefore

The amount invested in the account that paid 8%  was $18,000

The amount invested in the account that paid 10%  was $6,000

The amount invested in the account that paid 12%  was $26,000

a. 19,958,400

step-by-step explanation:

hope this

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: