Principal: $4,000 Rate: 7.25%
Time: 8 years
How much money will need to be paid back to the bank for this loan?

the money required to pay back to the bank for the loan is $7,002

Step-by-step explanation:

The computation of the money required to pay back to the bank for the loan is given below:

= Principal × (1 + rate of interest)^number of years

= $4,000 × (1 + 0.0725)^8

= $4,000 × 1.0725^8

= $7,002

Hence, the money required to pay back to the bank for the loan is $7,002

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).