q: A family pays $850 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,250
(C) $1,400
(D) $1,800
(E) $2,200
a: Stream of consciousness: Upfront payment for insurance plan = 850$
Family needs to pay 20 % of first 1000 $ in expense = 200$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 850 + 200 = 1050 $
Total amount paid by insurance plan for first 1000 $ = 850 $
Total amount paid by family will equal amount paid by plan when medical expense = 1250 $
(Since insurance plan will pay 100% of amount that exceeds 1050$ ) The answer is (B).
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q: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 61.25
(B) 62.5
(C) 63.75
(D) 70.0
(E) 77.5
a: Stream of consciousness: Rate of flow of water in second hour = 24 gallons per hour
Rate of flow of water in first hour = 24/(3/2) = 16 gallons per hour
Rate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons The answer is (D).
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q: If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?
Options:
(A) $3500
(B) $5000
(C) $4830
(D) $7000
(E) $10000
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Saving = (42-28)% of 34500 = 4830. The answer is (C).
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