Question

ASAP please give me the answerss!! Due! HELP PLEASE.
Part A

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

Part B

Order the rational numbers from least to greatest and explain your reasoning.

Part C

At the beginning of the month Katie’s balance was $128. What was her balance at the end of the month after all of her deposits and withdrawals? You must show your work, no credit will be given for just an answer.

Answer 1

Answer:

(a) The deposits to be 21.68, 42.09, and 65.44 and the withdrawals to be -4.64, -23.11 and -9.78

(b) $Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44$

(c) $Final\ Balance = \ 219.68$

Step-by-step explanation:

Given

Deposits:  $21.68, $42.09, and $65.44

Withdrawals: $4.64, $23.11 and $9.78

Solving (a): Write out the deposits as positive and the withdrawals as negatives

From (given) above, we have

The deposits to be 21.68, 42.09, and 65.44

and

The withdrawals to be -4.64, -23.11 and -9.78

Solving (b): Order from least to greatest.

Since the withdrawals are negative, the arrangement will start from there because negative numbers are lesser than positives.

Arranging the withdrawals from least to greatest, we have:

-23.11, -9.78, -4.64.

Arranging the deposits from least to greatest, we have:

21.68, 42.09, 65.44

Combine both together;

$Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44$

Solving (c):

$Initial\ Balance = \ 128$

Required

Determine the final balance

First we need to get the total deposits:

$Total\ Deposits = \ 21.68 + \ 42.09 + \ 65.44$

$Total\ Deposits = \ 129.21$

Next, we determine the total withdrawals:

$Total\ Withdrawals = \ 4.64 + \ 23.11 + \ 9.78$

$Total\ Withdrawals = \ 37.53$

The final balance is then calculated as:

$Final\ Balance = Initial\ Balance + Total\ Deposits - Total\ Withdrawals$

$Final\ Balance = \ 128 + \ 129.21 - \ 37.53$

$Final\ Balance = \ 219.68$