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torisob [31]
3 years ago
13

You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000, and you had medical expenses of $

567. What portion of your medical expenses can you deduct?
a) $0
b) $34
c) $567
d) $2,520
Mathematics
2 answers:
alukav5142 [94]3 years ago
6 0
Answer
<span>c) $567
</span>
Explanation
The income is $42,000
6% 0f $42,000 = 6/100 ×42,000
                        = 0.06×42,000
                        = $2,520

This is more than your medical expense. This means that the portion that your medical expense that you can deduct is the whole amount, $567.
Sladkaya [172]3 years ago
6 0
Your total income is 42,000 dollars and you can deduct 6% of medical expenses from your income.
Now you have 567 dollars medical expenses. Let's solve for the portion of medical expenses we can deduct
=> 6% of your income is Letter 2 520 dollars, since your medical expenses is only 567 dollars, thus you can deduct this all. 
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The partial fraction decomposition is \frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

<h3>How to determine the decomposition?</h3>

The fraction is given as:

\frac{8x + 19}{(x + 8)(x - 1)}

Split the fraction as follows:

\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}

Take the LCM

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By comparison, we have:

Ax + Bx = 8x

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This gives

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Add both equations

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\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

Hence, the partial fraction decomposition is \frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

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