Mr. Florean opened an account with deposit of $5,000. The account earned 7.5% annual simple interest. He did not make any additional deposits or withdrawals. After some time, the balance of the account was $6,500. How many years did it take for mr. Flores to have a balance of $6,500?

4 years

Step-by-step explanation:

The simple interest = $6,500 - $5,000 = $1500

From the formula for simple interest;

I=PRT/100

T= 100 I/PR

T= 100 × 1500/5000 × 7.5

T= 150000/37500

T= 4 years

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: