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jeyben [28]
2 years ago
10

You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This include

s 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. a. $1,508.25; no c. $1,753.05; yes b. $1,523.43; no d. $1,788.06; yes
Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

Answer:

c. $1,753.05; yes

Step-by-step explanation:

All calculations below are done on a monthly basis.

Gross salary in 1 month: $1675

Deduct 6.2% from gross salary:

0.062 * $1675 = $103.85

$1675 - $103.85 = $1571.15

Deduct 1.45% from gross salary:

0.0145 * 1675 = $24.29

$1571.15 - $24.29 = $1546.86

Deduct $975.23:

$1546.86 - $975.23 = $571.63

The expenses of $35 and $75.51 are biweekly. Since we are calculating per month, we multiply each of the expenses by 2.

Deduct 2($35) and 2($75.51):

$571.63 - $70 - $151.02 = $350.61

The amount saved per month is $350.61.

In 5 months, the amount saved is 5 * $350.61 = $1753.05

$1753.05 is greater than $1,600.

Answer: c. $1,753.05; yes

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sasho [114]

<em>Answer:</em>

<em>r = -</em>\frac{6a}{1-5m^2}<em />

<em>Step-by-step explanation:</em>

<em>Rewrite the equation as </em>\sqrt{x} 6a+r/5r<em>  = m</em>

<em>Remove the radical on the left side of the equation by squaring both sides of the equation.</em>

<em>(</em>\sqrt{\frac{6a+r}{5r} )^{2}<em> = m^2</em>

<em>Then, you simplify each of the equation. </em>

<em>Rewrite: (</em>\sqrt{\frac{6a+r}{5r} )^{2}<em> as </em>\frac{6a+r}{5r} = m^{2}<em />

<em>Remove any parentheses if needed.</em>

<em>Solve for r. </em>

<em>Multiply each term by r and simplify."</em>

<em>Multiply both sides of the equation by  5.</em>

<em>6a+r= m^2r⋅(5)</em>

<em>Remove parentheses.</em>

<em>Move 5   to the left of (m ^2)  r </em>

<em>6a+r=5m^2)r</em>

<em>Subtract  5m^2)r  from both sides of the equation.</em>

<em>6a+r-5m^2)r=0</em>

<em>Subtract  6a  from both sides of the equation.</em>

<em>r-5m^2)r=-6a</em>

<em>Factor  r out of  r-5m^2)r  </em>

<em>r(1-5m^2)=-6a</em>

Divide each term by 1-5m^2 and simplify.

r = - \frac{6a}{1-5m^2}

There you go, hope this helps!

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