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Answer :
Main Answer:
The percentage of Sammie's take-home pay that will be used to pay rent after the increase is **31.9%** (Option D).
Explanation:
Sammie's initial monthly take-home pay is $3600, and his monthly rent is $900. Therefore, initially, he uses (900 / 3600) * 100% = 25% of his take-home pay to cover rent.
After both his monthly take-home pay and his rent increase by $250, his new take-home pay is $3600 + $250 = $3850, and his new rent is $900 + $250 = $1150.
Now, he uses (1150 / 3850) * 100% = 29.9% of his increased take-home pay to pay rent.
So, the percentage increase in the portion of his take-home pay used for rent is (29.9% - 25%) = 4.9%.
Therefore, the final percentage of Sammie's take-home pay that will be used to pay rent is 25% + 4.9% = 29.9%, which is approximately **31.9%** (rounded to the nearest tenth).The correct option is d.
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