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Yumi's grandparents presented her with a gift of $21,000 when she was 11 years old to be used for her college education. Over the next 6 years, until she turned 17, Yumi's parents had invested her money in a tax-free account that had yielded interest at the rate of 3.5%/year compounded monthly. Upon turning 17, Yumi now plans to withdraw her funds in equal annual installments over the next 4 years, starting at age 18. If the college fund is expected to earn interest at the rate of 4%/year, compounded annually, what will be the size of each installment?
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- Yumi's grandparents presented her with a gift of $22,000 when she was 11 years old to be used for her college education. Over the next 6 years, until she turned 17, Yumi's parents had invested her money in a tax-free account that had yielded interest at the rate of 3.5%/year compounded monthly. Upon turning 17, Yumi now plans to withdraw her funds in equal annual installments over the next 4 years, starting at age 18. If the college fund is expected to earn interest at the rate of 4%/year, compounded annually, what will be the size of each installment? (Assume no interest is accrued from the point she turns 17 until she makes the first withdrawal. Round your answer to the nearest cent.)On the day his son was born, a father decided to establish a fund for his son's college education. The father wants the son to be able to withdraw 200,000 from the fund on his 18th birthday, again on his 19th birthday, again on his 20th birthday, and again on his 21st birthday. If the fund earns interest at 9% per year, compounded annually, how much should the father deposit at the end of each year, up through the 17th year? Draw cash flow diagramDemitri's parents begin saving for his college fund when Demetri is 10 years old. They invest $5,000 in a CD that earns 1.2% interest compounded annually. When Demitri turns 18, he decides to attend a local community college for two years. One year of courses costs approximately $2,700. Is there enough money available from the CD to pay for the first two years of Demetri's college education? *
- On Kenji’s first birthday, his parents deposited $12,500 into a savings account that earns a fixed rate of 8.00% and compounds interest annually. By Kenji’s 23rd birthday, his account will have accumulated3. Shondra wishes to accumulate a college fund for her daughter by making 17 equal annual deposits be- ginning on the daughter's first birthday. The fund will be used to make four annual tuition payments beginning on the daughter's 18th birthday. The first tuition payment will be $15,000, with the subsequent payments increasing by 8% each year. Shondra earns interest on her investment at a 5% annual effective rate. Determine the minimum amount of her annual deposit. A. Less than $2,200 B. At least $2,200, but less than $2,400 C. At least $2,400, but less than $2,600 D. At least $2,600, but less than $2,800 E. At least $2,800Carl is the beneficiary of a $28,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 4-year period in equal installments at the end of each year. If the fund earns interest at the rate of 4%/year compounded annually, what amount will he receive each year? (Round your answer to the nearest cent.)
- On Chris’ 8th birthday, his great aunt gives him $200,000. His parents place the money in an investment paying 7% compounded monthly. a) Find the value of the fund on Chris’ 21st birthday. b) Find the amount of interest the fund earned.Rose is planning to adopt a charity foundation once she receives her money. She promised to donate annually to her chosen Charity Foundation to support the needs of the foster kids. The foundation will receive $l0,000 for the first six years, $12,000 for the next five years and $15,000 for each year thereafter. The donation will start one year after she receives her money allotment. If the fund earns 7.0% interest, what is the amount of the donation? Please include cashflow diagram and full formulas.When Xian was born, his father Brian deposited a sum of money for the college education of Xian. Brian approximates that when Xian enrolls in college, the annual tuition fee will be about P200,000. So for the duration of his 4-year college course, Brian needs about P800,000. How much did he deposit semi-annually in a fund that earns interest at the rate of 5.5% compounded semi-annually?
- When Derrick turned 15, his grandparents put $10,000 into an account that yielded 1.4% interest, compounded quarterly. When Derrick turns 18, his grandparents will give him the money to use toward his college education. How much does Derrick receive from his grandparents on his 18th birthday?After receiving an inheritance of $50,000 on her 21st birthday, Katlyn deposited the inheritance in a savings account with an effective annual interest rate of 3%. She decided to make regular deposits, beginning with $1000 on her 22nd birthday and increasing by $200 each year (i.e., $1200 on her 23rd birthday, $1400 on her 24th birthday, etc.). What was the future worth of Katlyn’s deposits after her deposit on her 66th birthday?As soon as she graduated from college, Kay began planning for her retirement. Her plans were to deposit $500 semiannually into an IRA (a retirement fund) beginning six months after graduation and continuing until the day she retired, which she expected to be 30 years later. Today is the day Kay retires. She just made the last $500 deposit into her retirement fund, and now she wants to know how much she has accumulated for her retirement. The fund earned 10 percent compounded semiannually since it was established. a. Compute the balance of the retirement fund assuming all the payments were made on time. b. Although Kay was able to make all of the $500 deposits she planned, 10 years ago she had to withdraw $10,000 from the fund to pay some medical bills incurred by her mother. Compute the balance in the retirement fund based on this information.