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(34 points) Your sister is just engaged today and she is going to be married exactly 2 years from today. Your sister and her fiance would like to pay for their wedding themselves and do not accept any money from your and the groom's parents. Therefore, your parents decided to surprise them with a gift of a week-long honeymoon in the Caribbean. Your parents talked to a travel agent and learned that a honeymoon travel package to the Caribbean 2 years from today will cost $20,000 excluding the airfare. However, if your parents can pay 6 months before the travel time, they will get a 5% discount on this price. They also talked to the airline company and learned that two tickets to the Caribbean 2 years from today will cost $3,000. However, if they can buy the tickets 9 months before the travel time, they have to pay just $2,700. Your parents would like to save enough money to buy the airline tickets for the couple 9 months before the travel time to qualify for the discount price and pay for the honeymoon package 6 months before the travel time so that they can qualify for a 5% discount. Your parents' bank is running a special for honeymoon accounts and pays a 9% interest rate with monthly compounding on these accounts for the next two years. Your parents set up a honeymoon account. a. (13 points) After careful calculations, your parents determine that they can deposit $1,750 every two months starting today and continuing until the day of the payment for the honeymoon package. Determine if your parents will have enough money accumulated in their bank account to purchase this honeymoon package ( 6 months before their wedding) and the airline tickets ( 9 months before their wedding) for your sister and her fiance as they originally planned. If not, calculate the deposits your parents have to make into the honeymoon account every two months to achieve this goal

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