For the arithmatic gradient of cash flow given below, if G= $500 , the value at year 23(V23) is: V½=S....? G A1=$800 23 24 Year 25 1 2 22 # 5% Arithmeticgradient
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- Find the value of APC if the C is 1123 billion and Y is 211 billion(a) A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What would be the population size in 7 years?(ii) Find the sum of the first eight terms of the sequence18, −14,12, . . . ..(b) A landscape contractor is hired to cultivate ornamental plants in three new residentialdevelopments. The contractor charges the developer for each tree cultivated, an hourly rateto cultivate the ornamental plants, and a fixed delivery charge. In one development it took211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second developmentit took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the finaldevelopment it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938.A person’s credit score is important in determining the interest rate they have to pay on a home mortgage. According to Consumer Credit Counseling Service, a homeowner with a $100,000 mortgage and a 580 credit score will pay $90,325 more in interest charges over the life of a 30-year loan than a homeowner with the same mortgage and a credit score of 720. How much higher would the interest rate per year have to be in order to account for this much difference in interest charges, if the $100,000 loan is repaid in a single lump sum payment at the end of 30 years?
- To make CDs look more attractive as an investment than they really are, some banks advertise that their rates are higher than their competitors' rates; however, the fine print says that the rate is based on simple interest. If you were to deposit $12,000 at 12% per year simple interest in a CD, what compound interest rate would yield the same amount of money in 3 years? The compound interest rate that would yield the same amount of money in 3 years is % per year.Find the numerical value of the following factors: (P/A, 2.5%,10) = (F/A, 1%,45) = (A/P, 5%,2) = (A/F, 6%,15) = (PIA, 7%,4.5) = (F/A, 8%,7) = (A/P, 9%,14) = (A/F, 10%,18) = (F/P, 11.5%,20) = (P/F, 0.45%,12.5) = Note: Round to two decimal places.Gansen plans to get married in 10 years time. Gansen wants to have RM160000 by that time. His parents promised to give him RM58000 as a wedding gift. Given that Gansen could invest his annual deposit in an investment account with 6% annual return, how much should he save every year? Answer:XXXX
- A small company wishes to set up a fund that can be used for technology purchases over the next 6 years. Their forecast is for $16,000 to be needed at the end of year 1, decreasing by $2,000 each year thereafter. The fund earns 9% per year. How much money must be deposited to the fund at the end of year 0 to just deplete the fund after the last withdrawal?An engineer is planning for a 15-year retirement. In order to supplement his pension and offset the anticipated effects of inflation, he intends to withdraw₱5000 at the end of the first year, and to increase the withdrawal by ₱1000 at the end of each successive year. How much money must the engineer have in his savings account at the start of his retirement, if money earns 6% per year, compounded annually? Show complete solution with formulas. Answer must be 106,116.59Find the value of APS when the APC is given as 0.65?
- Ami has decided to be cryogenically frozen at the time of her death so that she can be resurrected once medical science has advanced far enough to keep her alive. In preparation, Ami places $173,802 into an investment account which earns an 8.4% rate of return per year. To her amazement, she is one day brought back to life. "How long has it been?" she asks. "296 years" the strangely dressed person replies. How much money is sitting in Ami's investment account? You are welcome to round to the nearest whole number. You need to be within $1 million of the correct answer.When you take your first job, you decide to start saving right away for yourretirement. You put $ 5,000 per year into the company’s 401(k) plan, whichaverages 8% interest per year. Five years later, you move to another job andstart a new 401(k) plan. You never get around to merging the funds in the twoplans. If the first plan continued to earn interest at the rate of 8% per year for 35 years after you stopped making contributions, how much is the account worth?UNIFORM ARITHMETIC GRADIENT. SHOW CASHFLOW DIAGRAM. DO NOT USE EXCEL. A parcel of land in a downtown area, suitable for parking lot, can be leased for a period of 10 years. Initial development costs for clearing, paving and constructing a small office shed on the lot is estimated to be P150,000. If the net annual revenue for the first year is P22,000 and increases by 10% per year thereafter until the tenth year, and the improvements revert to the owner of the land at the end of 10 years, what is the rate of return on the investment?