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max2010maxim [7]
3 years ago
13

13. Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer: 84 = 8p - 1 (or $84 = $8p - $1, but it is usually put together like the first equation)

Step-by-step explanation: $84 is the break even point, so the equation must be able to come out to at least $84 if it is correct.

$84 in equation is break even

8p/$8p is the price per painting

-1/-$1 is the addition from the canvas

Setler [38]3 years ago
6 0

Answer: Hello mate!

We know that Xavier spent $84 on art supplies. For each painting, he spends $1 on the canvas and sells each paint for $8.

The proffit equation is:

Q(p) = ($8 -$1)p - $84 = $7p - $84

where p is the number of paintings that he sells.

If we want to obtain the number of paintings that he needs to sell in order to break even, we need to calculate:

Q(p) = 0 = $7p - $84

$7p = $84

p = 84/7 = 12

He needs to sell 12 paints to break even.

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given
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a10=1/768

we know that
a5=1/24=a1r^(5-1) and
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so
1/24=a1r^4
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(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
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we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



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