Q:

fabiana decides to save the money she is earning from her after school job for college. she makes an initial contribution of 3000$ and each month deposits an additional $500. After one month she will have contributed $3500.A. white an equation for the nth term of the sequence B. how much money will she have contribute after 24 month

Accepted Solution

A:
Answer:A. Total Money Contributed after n months = [tex]\$ 3000 + \$ (500\times n)[/tex]B. Total Money Contributed after 24 months = [tex]\$ \ 15000[/tex]Step-by-step explanation:Given:Initial contribution = [tex]\$\ 3000[/tex]each month contribution =[tex]\$\ 500[/tex]After 1 month contributed = [tex]\$\ 3000 + \$\ 500 \times 1= \$ \ 3500[/tex]Solving for Part Alet n be the number of months∴ Total Contribution after n months = Initial contribution + (each month contribution [tex]\times[/tex] Number of months = [tex]\$\ 3000 + \$\ 500 \times n[/tex]Solving for Part ANow n= 24 months∴ Total Contribution after 24 months = [tex]\$\ 3000 + \$\ 500 \times 24 = \$\ 3000 + \$\ 12000= \$\ 15000[/tex]