A thirty-year annuity X has annual payments of $1000 at the beginning of each year for twelve years, then annual payments of $2000 at the beginning of each year for 18 years. A perpetuity Y has payment of $Q at the end of each year for 20 years, then payments of $3Q at the end of each year thereafter. The PV of X, Y are equal when calculated using annual effective discount rate of 7.42%.

Find Q.

Round your answer to the nearest cent. Answer in units of dollars.

Your answer must be within ± 0.0%

3rd box is the answer

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).

n=1.75+1.75

step-by-step explanation:

3.5/2=1.75