Answer: The answer is $2,759.22
Explanation: From the question above, we have:
September 1st to January 1st is 4 months, this is 1/3 of a year which means that the student will earn:
=> 9/3 = 3%
3% interest for the money that is saved is the savings account. So the student must put in at least:
x + 3%x = 1400
x + 0.03x = 1400
1.03x = 1400
x = 1400 / 1.03
x = 1,359.22
Therefore, if the student saves $1,359.22 in the savings account By September 1st, she will have $1400 by January 1st.
Also, the student needs to make $1400 for the first semester. So overall she will need to make:
1,400 + 1,359.22 = $2,759.22 during the summer in order to ensure that she will have enough money to pay for both semesters.