Future Value
What is the Future Value of a principal of $3000 invested at simple interest for 6%p.a. for 4 years?
$3720
Find the distance travelled by a car whose average speed is 90km/h if the journey lasts 3 hours. Answer correct to the nearest kilometre.
270km
What is 3.20pm in 24 hours time
1520hours
For a reducing balance loan of $780000 with fortnightly repayments of $3805 for 12 years, what is the total repaid?
$1 187 160
The price of a packet of biscuits 20 years ago was $1.20. If inflation was on average 5%p.a., what would the price be now?
$3.18
What is the Future Value of a principal of $12000 invested for 5 years at 3.5%p.a. compounded annually?
$14252.24
Levi weighs 74 kg and consumes five standard drinks in an hour. Calculate Levi’s blood alcohol content using the formula, correct to 2 decimal places:
BAC("male")=(10N-7.5H)/(6.8M)
0.08
What is 7 hours before 1pm?
6am
Use the FV table below to calculate the Future Value of a $5000 per year annuity over 6 years at 2%p.a. compounded annually.
https://docs.google.com/document/d/1Hy-4kJRl2D1YyEfHXbpjZvZ0IWNadvhha9XAVce3UJk/edit
$31540.50
Jim bought 1400 shares at 34c each and paid a brokeage fee of 2c per share. What was the total cost of purchasing the shares?
$504
What is the Future Value of $20000 invested for 5 years at 8%p.a. compounded monthly.
$29796.91
A car is travelling at 70 km/h and the reaction time of the driver is 0.50 seconds. Find the stopping distance of this car using the formula, correct to 1 decimal place.
d=(5Vt)/18+(V^2)/170
38.5m
Brussels is located at (50°N, 4°E). Lima is located at (12°S, 77°W). What is the difference in longitude?
81°
Use the FV table below to calculate the future value of a contribution of $2000 paid quarterly for 3 years and invested at 8%p.a.
https://docs.google.com/document/d/1Hy-4kJRl2D1YyEfHXbpjZvZ0IWNadvhha9XAVce3UJk/edit
$26 824.20
A $45000 brand new car depreciates at a rate of 12%p.a. What will its value be in 4 years time?
$26986.29
What principal must be invested at 7%p.a. to obtain a future value of $15000 in 6 years time?
$9995.13
Calculate the stopping distance given a speed of 30m/s a reaction time of 2.4 seconds and a braking distance of 90.8m.
162.8m
What is the time in Mexico city (UTC− 6) if it is 2:00p.m. in Greenwich?
8am
A loan is modelled by the recurrence relation Vn+1 = Vn × 1.007 − 400 where Vn is the balance of the loan after n payments and V0 = $25 000. What is the balance of the loan after 2 payments?
$24548.43
What is the dividend yield on a share that has a market price of $4.30 and a dividend of 40c per share.
(answers as a percentage to 1 decimal place)
9.3%
A principal of $24000 is invested for 3 years at 2.5%p.a. compounded annually and grows to $25600. At what rate was it invested? (give your answer as a percentage to one decimal place)
2.2%
Calculate the stopping distance given a speed of 90km/h and a reaction time of 1.7s and a braking distance of 89.5m.
132m
A flight leaves Seoul (UTC+ 9) at 5:00 p.m. and flies non-stop to Chicago (UTC− 6). The flight takes 14 hours. What is the time in Chicago when the flight arrives?
4pm
Use a recurrence relation model to find the balance after 3 years of a loan of $3500 borrowed at 4.8% per annum, compounding monthly, with payments of $280 per month
$2698.80
The dividend yield is 6.8%p.a. What is the value of the total dividend if Barry buys 1500 shares at $5.70 each.
$581.40