9514 1404 393
Answer:
about $171,400
Step-by-step explanation:
William's total monthly debt is ...
$1012.84 +579.13 +250 +300 = 2141.97
On an annual basis, this is ...
12 × $2141.97 = $25,703.64
This will be 15% of (25703.64/0.15) = $171,357.60.
William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.
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<em>Additional comment</em>
A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.
<em>p</em> ² + 6 is even if <em>p</em> ² is even (the sum of two even numbers is even), and this happens only if <em>p</em> itself is even, i.e. if <em>p</em> = 2 since 2 is the only even prime.
All other primes <em>p</em> are odd, so <em>p</em> ² would be odd, and adding 6 would not change that (odd + even = odd).
Solving for Y:
1) Subtract -2x from both sides: -3y=15-2x
2) Divide by -3 on both sides: y=-5+(2/3)x
Final Answer: y = (2/3)x-5