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erica [24]
3 years ago
6

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer: The car has to sell for $20000

Step-by-step explanation:

Let x represent the price that the car would have to sell for in order for these two job opportunities to pay Jim the same amount.

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. It means that his pay would be

10/100 × x = 0.1x

Budget Cars says they will pay him $500 per week plus a 7.5% commission on the sale price of each car. It means that his pay would be

500 + 0.075x

For boths pays to be the same, it means that

0.1x = 500 + 0.075x

0.1x - 0.075x = 500

0.025x = 500

x = 500/0.025

x = 20000

The car has to sell for $20000

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Similarly after 3 years, this value P(0.8)^{2} will again be decreased by 20 %

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P(0.8)^{2}(0.8)

P(0.8)^{3}-----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or P(0.8)^{1}

value after 2 years is P(0.8)^{2}

value after 3 years is P(0.8)^{3}

so value after x years will be P(0.8)^{x} ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

y = P(0.8)^{x} where y is the value after x years

so thats the final answer

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