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Gennadij [26K]
3 years ago
10

David is paid on a graduated commission scale at Nooter Company. He receives 2% commission on the first $20,000, 6% on sales fro

m $20,000 to $70,000, 8.5% commission on sales from $70,000 to $100,000, and 10% commission on sales over $100,000. David had sales of $82,000. His commission is:
rev: 08_24_2013_QC_ 34268
$8,200
$6,200
$4,240
$4,420
None of these
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
He receives 8.5% <span>commission on sales from $70,000 to $100,000, therefore the commission is:
 comission = 8.5%($82000) = (85/1000)(82000)
= 6979
that is his commission</span>
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Find a recurrence relation for the number of strictly increasing sequences of positive integers that have 1 as their first term
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202 tickets for adults were sold and 70 tickets for children are sold.

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Solve this question using simultaneous linear equation.

•Let the number of tickets sold for adults be a

•Let the number of tickets sold for children be b

The question stated that 272 tickets were sold altogether. So:

a + b = 272

Now, make sure that only one of the unknown values remain on the left hand side. For example:

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I will refer to the above equation as equation 1.

Now, the question also stated that the tickets sold $1694. This means that:

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I will refer to this equation as equation 2.

Now, substitute equation 1 into equation 2 by replacing the a in equation 2 with the values on the right hand side in equation 1. For example:

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Then just solve the equation by finding the value of b.

7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\  = 70

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He should have got 40

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