Exponential Decay) 4\ The value of a car declines exponentially at 7.5% per year. Find the original value of the car if its value when it was 4 years old was OMR 14816.36. Use this formula: P = Pe(-r.t)
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Exponential Decay)
4\ The value of a car declines exponentially at 7.5% per year. Find the original value of the car if its value when it was 4 years old was OMR 14816.36.
Use this formula: P = Pe(-r.t)
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- Exponential Decay) 4) The value of a car declines exponentially at 7.5% per year. Find the original value of the car if its value when it was 4 years old was OMR 14816.36 Write the formula and solve it1. You bought a new car for $42000. Assume the value of the car depreciates by 17% each year. complete the table Age of the Car in years Calculation Value 0 N/A 42000 1 42000*0.83 2 3 4 ... N/A N/A 10 b. Use the table to find a pattern and develop a formula to model the V= value of the car, after n years. c. linear or not linear?For the past years, real estate prices in a city have been increasing at an exponential rate of 2.7% per year. If the value of a house after 3 years from today is expected to be OMR (168789.92). Find its purchasing price 5 years ago You must use this formula :. X =P.er.t
- An investment was worth $42 two years ago, $38, one year ago, and is worth $36 today. The arithmetic average return over the past two years is _______% per year. If your answer is negative, be sure to include a negative sign preceding your answer (ex. -.045678 or -4.5678% should be entered as: -4.57).The market volume for widgets is increasing by 15% per year from current profits of $300,000. Investing in a design change will allow the profit per widget to stay steady; otherwise profits will drop 3% per year. What is the present worth of the design change over the next 5 years? Ten years? The interest rate is 9%.An investment company owns land now worth $500,000 that is increasing in value each year. If the land value doubles in 7 years, what is the yearly rate of return nearest to? (a) 0.0% (b) 2.0% (c) 7.0% (d) 10.5%
- You estimate that a planned project for your company has a 0.3 chance of tripling the investment in a year and a 0.7 chance of halving the investment in a year. What is the standard deviation of the return on this project? A.1.5625 B.1.3126 C.1.2247 D.1.1457You bought a new machine worth P 345,000.00. Research on this machine showed that it will reduce cost of production in the following sequence: Year 1 = P 22,500; Year 2 = P27,300; Year 3 = 30,500.00; Year 4 = 32,450 and Year 5 = 29,600. If the current interest rate is 7.2%. Should the machine be bought?1. You are promised an 8-year streams of income from buying a new technology at the initial amount of P 40,000.00. If the income increases by 3%, 4%, 5% and 6% respectively from the 2nd to 5th year then return to initial amount from the 6th to the 8th year, what is the present value of stream of income if the current interest prevailing is 6.5%? 2. You bought a new machine worth P 345,000.00. Research on this machine showed that it will reduce cost of production in the following sequence: Year 1 = P 22,500; Year 2 = P27,300; Year 3 = 30,500.00; Year 4 = 32,450 and Year 5 = 29,600. If the current interest rate is 7.2%. Should the machine be bought?
- 3\ For the past years, real estate prices in a city have been increasing at an exponential rate of 2.7% per year. If the value of a house after 3 years from today is expected to be OMR (168789.92). Find its purchasing price 5 years ago.The value of a car that is t years old can be modeled by V(t)= 420,000(0.965)^t .what would be the car's worth in 2 years time? How many years will the car be worth $325,000?You are looking at an investment which has an initial cost of $400,000 and a salvage value of zero after five years. What is the average accounting return for this investment given the following annual net incomes: year 1 $100,000, year 2 150,000, year 3 150,000, year 4 100,000 and year 5 50,000. a. 27.5%b. 52.5%c. 55.0%d. 137.5%