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Question
A salesperson gets a commission of 5% on all sales up to $15000 and a commission of 7% on all sales over $15000. What is the commission earned on sales of $27000?

Answer
Hello again,

We went through the idea of a percentage in a previous question. This question is similar. Here's how to approach it:

The salesperson earns a total of $27000 = $15000 + $12000.  She gets 5% commission on the first $15000 which means she gets a fraction of that amount; the fraction is given by 0.05 = 5%/100, as we went over before. So she would get (0.05)$15000 =  $750.

For the remaining $12000, she gets a 7% commision or (0.07)$12000 = $840. Her total commission is the sum of the 2 values or $750 + $840 = $1590.

Randy

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randy patton

Expertise

college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography

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26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related

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J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane

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M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math

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Also an Expert in Oceanography

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