Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6. derek and meredith have a joint checking account with a balance of $…

Question

  1. derek and meredith have a joint checking account with a balance of $2750. meredith pays the $93 electric bill online with their debit card. derek deposits his $750 paycheck. he also deposits the $50 he received as a gift. meredith also deposits her paycheck, which is $875. she then writes a check to pay a medical bill but forgets to record it. if the balance of their account is $3,947.50 after these transactions, how much was the medical bill?

Explanation:

Step1: Calculate the total amount of deposits and withdrawals before the medical bill

The initial balance is \( \$2750 \). Meredith pays an electric bill of \( \$93 \) (a withdrawal, so subtract), Derek deposits \( \$750+\$50=\$800 \), Meredith deposits \( \$875 \).
The amount before the medical - bill transaction is \( 2750 - 93+800 + 875\).

$$ LATEXBLOCK0 $$

Step2: Find the amount of the medical bill

Let the medical - bill amount be \( x \). We know that the final balance is \( \$3947.50 \). So, using the formula \( \text{Amount before medical bill}-\text{Medical bill}=\text{Final balance}\), we have \( 4332−x = 3947.50 \).
To solve for \( x \), we can rewrite the equation as \( x=4332 - 3947.50\).

$$x = 384.5$$

Answer:

\(384.5\)