A machine depreciates by 1/4 of its value each year. When purchased new it costs $640,000, what explicit expression represents its value in the nth year?

640,000 (3/4)n
640,000(1/4)n-1
640,000 (3/4)n-1
3/4(640,000)n-1

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$649.60

step-by-step explanation:

70 years.

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).