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Degger [83]
3 years ago
14

Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1

200 plus 15% of his sales each month. How much will Jonathon and Raymond need to sell in order to earn the same amount each month?
Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

The Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

Step-by-step explanation:

Given data

Let no. of sales = x

Jonathon earning = $ 1500 + \frac{10}{100} x

Raymond earning = $ 1200 + \frac{15}{100} x

Given that the earnings of Jonathon & Raymond are same.

1500 + \frac{10}{100} x = 1200 + \frac{15}{100} x

300 =  \frac{5}{100} x

x = 6000 sales

Therefore the Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

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(b)

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25 = 110(15/22)^{t/30}  
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t = 30\ln(25/110) / ln(15/22)  \approx 116\ \mathrm{min}

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