Question

write an expression for the new balance using as few terms as possible. A checking account has a balance of -$126.89. A customer makes two deposits, one 3 1/2 times the other, and then withdraws $25.

Answer 1

To find the new balance, assign the variable x to the amount of the smaller deposit. The expression sums the starting balance, the two deposits (x and 3.5x), and subtracts the withdrawal, yielding a simplified expression for the new balance: 4.5x - $151.89.

Step-by-step explanation:

To write an expression for the new balance when a checking account has a starting balance of -$126.89, two deposits where one is 3 1/2 times the other, and then a withdrawal of $25, let's assume the smaller deposit is x dollars. The larger deposit is then 3.5x dollars. The expression for the new balance would be:

New Balance = Starting Balance + Smaller Deposit + Larger Deposit - Withdrawal

New Balance = (-$126.89) + x + (3.5x) - $25

Combining like terms yields the simplified expression:

New Balance = 4.5x - $151.89

Where x represents the amount of the smaller deposit.

Answer 2

New balance = -151.89 + 4.5x

(where x is the value of the smaller deposit)

Step-by-step explanation:

The inicial balance was -126.89.

Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.

Then, the customer made a withdraw of $25.

So, The new balance can be calculated as:

New balance = inicial balance + x + 3.5x - 25

New balance = -126.89 + 4.5x - 25

New balance = -151.89 + 4.5x