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A sum of $10,000 is invested at an annual interest rate of 6%, compounded semi-annually. Find the value of this investment after:
a. 2 years
b.5 years
526
590
539
Mark buys a boat for $50,000. The value of the boat depreciates by 12% each year.
a. Find the value of the boat after 8 years.
Lisa buys a boat for $30,000$. The boat depreciates by a fixed percentage each year, and after 5 years it is worth $18,000.
b. Find the annual rate of depreciation of Lisa's boat.
584
585
521
James buys a new smartphone for $899$. The value of James's smartphone depreciates by 13% each year. Estimate the value of James's smartphone after 5 years.
585
591
578
A computer was bought for €1500, and it depreciates at a rate of 20% per year for 4 years.
a. Determine the value at the end of this period.
b. Calculate the total loss in value over the 4 years.
514
541
504
The value of a machine is given by the function $$V = 25,000(0.88)^t$$, where t is in years since 1 January 2022 and V is in USD ($).
(a) Write down the annual rate of depreciation of the machine.
(b) Find the value of the machine on 1 January 2027.
521
538
504
