8
QuizMultiple Choice

Personal Finances

Question 8 • LVA - Mathematical Modeling - Spring

You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This includes Airfare, room and board, daily expenses, and travel). You save for 5 months and your monthly gross salary is $1,675.00. Given that Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, your monthly expenses are $975.23, and you pay State and Federal taxes in the amount of $35.00 and $75.51 respectively biweekly, how much will you have saved up and will you have saved enough to visit Disney World in December? Round all your answers to the nearest cent.

Answer
A
$1,508.25; no
B
$1,523.43; no
C
$1,753.05; yes
D
$1,788.06; yes

Explanation

Treat the monthly salary as two biweekly paychecks, so each paycheck is $1,675 ÷ 2 = $837.50. Each paycheck has $51.93 for Social Security, $12.14 for Medicare, and $35.00 + $75.51 in state and federal taxes, leaving $662.92. After two paychecks and monthly expenses of $975.23, you save $2($662.92) − $975.23 = $350.61 per month; over five months, that is $1,753.05. That is more than the $1,600 trip cost, so choice C, “$1,753.05; yes,” is correct.

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