For the expansion, the company decided to buy cash registers for the new
stores. Each cash register can be bought at a price of 450 AED.

1. For the expansion, the company will need to buy at least 50 cash
registers. How much will this cost? (level 1-2)

2. The cost per cash registers increases by a rate of 6% continuously
compounded. How much would one new cash register cost in 8 years’
time? (level 3-4)

3. The value per cash registers decreases at a rate of 7.5% each year. How
much will one old cash register be worth in 8 years’ time? (level 3-4)

4. The company will need to replace the cash registers in 8 years’ time.
They sell the old cash registers and use the proceeds to help pay for the
new ones. Will this money be enough to pay for the new cash registers?
Explain what their loss or gain is per cash register. (level 5-6)

5. Calculate after how many full years the cash registers will have a value
of approximately 95 AED. Is this a realistic scenario? Explain with the use
of calculations, reasoning and graphing. Use your mathematical
understanding relating to inverse functions, asymptotes, domain and
range.