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The neighbourhood grocery store owned by Raoul needs $22,500 to upgrade its fixtures and coolers. If Raoul contributes $3,000 at the start of every quarter into a fund earning 5.4% compounded quarterly, how long will it take him to save up the needed funds for his store's upgrades?
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- A professor has two daughters that he hopes will one day go to college. Currently, in-state students at the local University pay about $20,246.00 per year (all expenses included). Tuition will increase by 4.00% per year going forward. The professor's oldest daughter, Sam, will start college in 16 years, while his youngest daughter, Ellie, will begin in 18 years. The professor is saving for their college by putting money in a mutual fund that pays about 8.00% per year. Tuition payments are at the beginning of the year and college will take 4 years for each girl. (Sam's first tuition payment will be in exactly 16 years) The professor has no illusion that the state lottery funded scholarship will still be around for his girls, so how much does he need to deposit each year in this mutual fund to successfully put each daughter through college. (ASSUME that the money stays invested during college and the professor will make his last deposit in the account when Sam, the OLDEST daughter,…Jim and Joan Miller are borrowing $120,000 at 6.5% per annum compounded monthly for 30 years to purchase a home. Their monthly payment is determined to be $758.48. Performance Task You need to present Jim and Joan with a report detailing the following: A recursive formula for their balance after each monthly payment has been made. A determination of Jim and Joan's balance after the first payment. Use a spreadsheet or graphing utility to create a table showing their balance after each monthly payment. Determine when the balance will be below $75,000. Determine when the balance will be paid off. Determine the interest expense when the loan is paid.Philip works at a nursing home as an aide and earns $27,000 a year. IF he went to school to get a nursing degree he could earn $50,000 in the first year. Philip knows this but he also knows that tuition and fees at a nearby college could cost about $45,000(total). He can get a student loan for 5% with 10 years to repay the loan. What is the total cost of the student loans?
- Bradley set up a fund that would pay his family 3500 at the beginning of every month, in perpetuity.What was size of the investment in the fund if it was earning 5.50% compounded semi-annually?A wealthy graduate of a local university wants to establish a scholarship to cover the full cost of one student each year in perpetuity at her university. To adequately prepare for the administration of the scholarship, the university will begin awarding it starting in three years. The estimated full cost of one student this year is $32,000 and is expected to stay constant in real terms in the future. If the scholarship is invested to earn an annual real return of 10 percent, how much must the donor contribute today to fully fund the scholarship? Note: Negative value should be indicated by a parenthesis. > Answer is complete but not entirely correct. $(240,421) X ContributionImagine you are a philanthropist who would like to donate to a charity that provides shelter and assistance to homeless individuals. You would like to donate enough money to the charity to ensure that they can provide shelter for 12 homeless individuals every year in perpetuity. The cost of providing shelter per individual is $60 per day. If your investment fund pays a return of 2% per year, how much do you need to donate to the charity now so that they can provide shelter for 1200 individuals every day in perpetuity? Enter your answer to the nearest cent (two decimal places)
- A wealthy graduate of a local university wants to establish a scholarship to cover the full cost of one student each year in perpetuity at her university. To adequately prepare for the administration of the scholarship, the university will begin awarding it starting in three years. The estimated full cost of one student this year is $38,000 and is expected to stay constant in real terms in the future. If the scholarship is invested to earn an annual real return of 5 percent, how much must the donor contribute today to fully fund the scholarship?A father is now planning a savings program to put his daughter through college. She is 13, plans to enroll at the university in 5 years, and she should graduate 4 years later. Currently, the annual cost (for everything - food, clothing, tuition, books, transportation, and so forth) is $15,000, but these costs are expected to increase by 6% annually. The college requires total payment at the start of the year. She now has $9,000 in a college savings account that pays 8% annually. Her father will make six equal annual deposits into her account; the first deposit today and sixth on the day she starts college. How large must each of the six payments be? (Hint: Calculate the cost (inflated at 6%) for each year of college and find the total present value of those costs, discounted at 8%, as of the day she enters college. Then find the compounded value of her initial $9,000 on that same day. The difference between the PV of costs and the amount that would be in the savings account must be…Francis wants to start a foundation that will pay its beneficiaries $64,000 per year forever, with the first cash flow occurring one year from today. If the funds will be invested to earn 7% per year, how much must Frank donate today? Enter your answer as a positive number rounded to the nearest penny.
- Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $331,700 to rent the gas station, purchase wrapping paper, hire workers, and advertise. If he borrows this amount at 6.5 interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.) $ _______Erica is planning on putting an addition on her home. She figures that this will cost a total of $25,800. If Erica already has $23,300 saved up, what annual interest rate compounded semiannually would Erica need to earn in order to have the required landscaping funds if she invests her money for 2.5 years?Wayne will need $1,250,000 in his retirement fund in 40 years at the time of his retirement. If Wayne can earn 8% annually over this period, how much does Wayne need to save annually to meet that goal? ( Round the answer to the nearest dollar.)
