Rita has deposited $1000 in a bank account. at the end of each year, the bank posts interest to her account in the amount of 5% of the balance, but then takes out a $10 annual fee. recursions and special sequences

Rita will have $1040 in her bank account by the end of the year.

Step-by-step explanation:

To know how much money will Rita have in her account by the end of the year, we have to perform the following calculation:

$1000 (initial amount) + $1000x5/100 (annual interest) - $10 (annual fee) = X (total money)

1000 + 1000x5/100 - 10 = X

1000 + 50 - 10 = X

1040 = X

Rita will have $1040 in her bank account by the end of the year.

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:

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