a 184350 car depreciates exponentially at a continuous rate of 2.5% each year calculates its value...
ACR30 Name: 3. The value of a new car depreciates by 12% each vear. The car was worth $20 000 when it was new. a) What is it worth when it is one year old? Two years old? b) What is the decay factor in this situation? c) Write an exponential function to model the value of this car when it is x years old. d) Use your model to estimate the value of this vehicle when it is ten...
A car depreciates by 40% in the first year, 30% in the second
year and 20% thereafter. I buy a car for $14,700 when it is 2 years
old.
a) How much did it cost when new?
b) After how many years will it be worth less than 25% of the
amount that I paid for it?
4. A car depreciates by 40% in the first year, 30% in the second year and 20% thereafter. I buy a car for...
The cost of all maintenance for specific type of car during its 1st year is exponentially distributed with a mean of $160. What is the probability that a randomly selected car of this type requires more than $320 in maintenance during its 1st year?
A company purchases a vehicle for $20,000 and depreciates it a rate of 10% of the original purchase price per year The bank lending rate at the time of purchase is 8%. The book value of the car after three years is most nearly O A. $6000 O B. $12,000 OC. $14,000 D $20,000
Tiana's car was worth $15.000 at the beginning of 2000 and the value of the car decreased exponentially, decreasing by 23% each year. a. Write a function f that determines the value of Tiana's car (in dollars) in terms of the number of years since the beginning of 2000. f(t) = Preview b. How many years after the beginning of 2000 was Tiana's car worth $6,000? years Preview c. How many years after the beginning of 2000 was Tiana's car...
(b) An annuity wl pay £4,000 at the end of the year, for each of the next three years. At an interest rate of 6%, fid the present value of the annuity. (5 marks) (c)A machine is bought for £120,000 and its value depreciates at a constant rate. After two years its value is £90,000. i. What is the annual rate of depreciation? (2 marks) ii. A second machine, also costing £120,000, depreciates at 20% each year (You may use...
In 2013 your car was worth $10.500. In 2015 your car was worth $8,800. a. Suppose the value of your car decreased at a constant rate of change. Define a function f to determine the value of your car (in dollars) in terms of the number of years t since 2013. f(t)-[1700t+10500 Preview -t b. Suppose the value of your car decreased exponentially. Write a function g to determine the value of your car (in dollars) in terms of the...
Lakeland Corp. calculates that in the current year its employees earned an additional annuity of $10,000 for 20 years commencing with their retirement 12 years from today. Lakeland assumes a future interest rate of 6%. If the value of the annuity is $121,581 on the date the employees retire, what amount should be contributed today to fully fund the pension plan?
ABC Company calculates its predetermined overhead rate. The company budgets overhead costs for the year at $500,000 and determines that direct labor hours (expected to be 50,000 in total) is a reasonable cost driver. What is ABC Company's predetermined overhead rate? $25 $5 $10 $0.10
The income from an established chain of laundromats is a continuous stream with its annual rate of flow at time t given by f(t) = 120,000 (dollars per year). If money is worth 3% compounded continuously, find the present value and future value of this chain over the next 5 years. (Round your answers to the nearest dollar.) present value $ future value $