5
QuizMultiple Choice

Personal Finances

Question 5 • LVA - Mathematical Modeling - Spring

You are planning a trip to Spain in the summer of 2009. You estimate for an entire month in Spain, you will need $7,139.00 (This includes Airfare, room and board, daily expenses, and a Eurail Pass). You save for 7 months and your monthly gross salary is $2770.22. Given that Social Security is 6.2% of your semi-monthly income, Medicare is 1.45% of your semi-monthly income, your monthly expenses are $1,200, and you pay State and Federal taxes in the amount of $52.00 and $101.00 respectively semi-monthly, how much will you have saved up and will you have saved enough to visit Spain in August? Round all your answers to the nearest cent.

Answer
A
$7,366.10; yes
B
$7,465.32; yes
C
$6,281.22; no
D
$7,010.22; no

Explanation

Social Security and Medicare together take 6.2% + 1.45% = 7.65% of your monthly salary, or about $211.92. State and federal taxes are $52 + $101 = $153 per semi-monthly paycheck, so they total $306 per month. After taxes and $1,200 in monthly expenses, you save about $1,052.30 per month; over 7 months, that is about $7,366.09 (choice a lists $7,366.10). Since this is more than the $7,139 trip cost, you will have saved enough.

AI-written and checked against the verified answer.

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