Problem

Pablo's credit card statement showed these transactions during March:
$\begin{array}{lll}\text { March } 1 & \text { Previous Balance } & \$ 2420.52 \\ \text { March 5 } & \text { Payment } & \$ 400.00 \\ \text { March 9 } & \text { Purchases } & \$ 465.00 \\ \text { March 24 } & \text { Payment } & \$ 900.00 \\ \text { March 26 } & \text { Purchases } & \$ 235.00\end{array}$
Part: 0 / 3
Part 1 of 3
(a) Find the average daily balance. Round the answer to the nearest cent. The average daily balance is $\$ \square$.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The average daily balance is \(\boxed{\$2230.36}\).

Steps

Step 1 :The average daily balance is calculated by adding up the balance for each day of the month and then dividing by the number of days in the month.

Step 2 :From March 1 to March 4, the balance is \$2420.52.

Step 3 :From March 5 to March 8, the balance is \$2420.52 - \$400 = \$2020.52.

Step 4 :From March 9 to March 23, the balance is \$2020.52 + \$465 = \$2485.52.

Step 5 :From March 24 to March 25, the balance is \$2485.52 - \$900 = \$1585.52.

Step 6 :From March 26 to March 31, the balance is \$1585.52 + \$235 = \$1820.52.

Step 7 :We can calculate the total balance for the month by multiplying each daily balance by the number of days it applies and then summing these up. We then divide by the number of days in March (31) to get the average daily balance.

Step 8 :Final Answer: The average daily balance is \(\boxed{\$2230.36}\).

link_gpt