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For the expansion, the company decided to buy cash registers for the new stores. Each cash register can be bought at a price of
For the expansion, the company decided to buy cash registers for the new stores. Each cash register can be bought at a price of 620 AED. 1. For the expansion, the company will need to buy at least 100 cash registers. How much will this cost? (level 1-2) 2. The cost per cash registers increases by a rate of 7% continuously compounded. How much would one new cash register cost in 10 years' time? (level 3-4) 3. The value per cash registers decreases at a rate of 7% each year. How much will one old cash register be worth in 10 years' time? (level 3-4) 4. The company will need to replace the cash registers in 10 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 3-4) 5. Calculate after how many full years the cash registers will have a value of 50 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. (level 5-6) 6 Calculate after how many full years the cash registers will have no value. 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. (level 7-8)
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