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

Respuesta :

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 A

let 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 A

Now n= 24 months

Total Contribution after 24 months = [tex]\$\ 3000 + \$\ 500 \times 24 = \$\ 3000 + \$\ 12000= \$\ 15000[/tex]

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