Q:

Haylee opened her savings account with $440 in week 1. each week after this, she deposited $65 in her account. how much money will haylee have in her savings account after week 25? enter your answer in the box.

Accepted Solution

A:
Answer: Haylee has $2000 in her savings account after week 25.
Step-by-step explanation:Given: Haylee opened her savings account with $440 in week 1. Each week after this, she deposited $65 in her account. It is an arithmetic series, where [tex]a_1=440[/tex] and d=65to find the amount in bank after week 25 , put the values in the formula[tex]a_n=a_1+d(n-1)[/tex] with n=25[tex]a_{25}=440+65(25-1)\\\Rightarrow\ a_{25}=440+65(24)\\\Rightarrow\ a_{25}=440+1560=2000[/tex]Hence, Haylee has $2000 in her savings account after week 25.