Kylie starts with $145 in her piggy bank. each month she adds $20. which recursive function rule models the total amount in kylie’s piggy bank at the end of each month? 1. an=20⋅an−1 and a1=145 2. an=20+an−1 and a1=145 3. an=145+an−1 and a1=20 4. an=145⋅an−1 and a1=20

2.  and

Step-by-step explanation:

We are given that, Kylie started with $145 in her piggy bank i.e. the initial amount in the piggy bag is $145 i.e.

Now, it is provided that Kylie adds $20 each month in her piggy bank i.e. at the end of each month $20 is being added to the previous amount.

Hence, the recursive function is: ,  where the initial amount is .

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: