A person bought a car for $21,011. After 3 years, the car was worth $12,003. Assume that the price is decreasing according to the continuous exponential decay model PP". a. Find the annual depreciation rate, r, to the nearest tenth of a percent. b. Find the value of the car after 5 years to the nearest hundred dollars. a. What is the annual depreciation rate? (Do not round until the final answer. Then round to one decimal place as needed.) b. What is the value of the car after 5 years? (Round to the nearest hundred dollars as needed.)
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- A car depreciates exponentially at a rate of 5% per year. If the car is worth $30,000 after 9 months, what was the original price of the car? You bought a car 5 years ago for $30,000. This type of car is known to depreciate at a compounded annual rate of 8% per year (given normal mileage and wear-and-tear). If your car depreciated at this rate, how much is it worth today? (Hint: let r = -0.08 and solve for FV).1. 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?
- A new car is purchased for \$25,000$25,000 and over time its value depreciates by one half every 5.5 years. How long, to the nearest tenth of a year, would it take for the value of the car to be \$1,400$1,400?A company buys a machine for $80,000 that has an expected life of 10 years and no salvage value. The company uses straight-line depreciation. The company anticipates a yearly net income of $3,850 after taxes of 14%, with the cash flows to be received evenly throughout each year. What is the accounting rate of return? a) 4.81% b) 8.28% c) 1.35% d) 9.63% e) 48.13%A new car worth $45,000 is depreciating in value by $5000 per year.a. Write a formula that models the car’s value, y, in dollars, after x years.b. Use the formula from part (a) to determine after how many years the car’s value will be $10,000.
- A company buys a machine for $180,000 that has an expected life of nine years and no salvage value. The company expects an annual net income (after taxes of 30%) of $8,550. What is the accounting rate of return? a. 4.75% c. 2.85% e. 6.65% b. 42.75% d. 9.50%Mr. Alvarez bought a house in October 2001 for $320,000. In October 2014 it was worth $ 68, 000 . Assuming a constant annual rate of decrease in value, what function is the best model for the value of the house in dollars, where t is the number of years after 2001?The value of an automobile depreciates at the rate of 15% per year. What will be the value of an automobile 3 years hence which is now purchased for P45,000? Complete and clear solution must be shown.
- A company buys a machine for $69,000 that has an expected life of 7 years and no salvage value. The company anticipates annual income of $3,300, with the cash flows to be received evenly throughout each year. What is the accounting rate of return?Consider a machine purchased one year ago for $18,000. The machine is being depreciated $3,000 per year throughout a six-year period. Its current market value is $6,000, and the expected market value of the machine one year from now is $4,000. If the interest rate is 10%, the expected cost of holding the machine during the next year is $___.It is determined that the value of a piece of machinery declines exponentially. A machine that was purchased 3 years ago for $74000 is worth $42000 today. What will be the value of the machine 6 years from now? Round any intermediate calculations to at least four decimal places, and round your answer to the nearest cent.