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STALIN [3.7K]
3 years ago
14

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

the overhead, fixed costs, is $1000.

the variable cost is $200, so if she sells "x" tiles, then her costs is 200*x or 200x.

total costs then will just be C(x) = 200x + 1000.

namely both costs added together.

Revenue is just how much it's been taken in from the sales, since each tile is selling for $240, then the revenue is simply 240*x or just R(x) = 240x.

break even point is when those two guys equal each other

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{200x+1000}\implies 40x=1000\implies x=\cfrac{1000}{40}\implies x=25

what if the cost for each tile were $220, 20 bucks more?

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{220x+1000}\implies 20x=1000\implies x=\cfrac{1000}{20}\implies x=50

well, if the cost for each tile is $200, her break-even point is at 25 units, namely once she has sold 25 tiles, she's has lost nothing, has won nothing either, but hasn't lost anything.

if the cost is however $220 instead, her break-even point comes much later, at 50 units, so she'll have to sell more tiles in order to not have any losses, so she's worse off if the cost is more or course.

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Answer:

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Step-by-step explanation:

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m(t) = m_{o}\cdot e^{-\frac{t}{\tau} } (1)

Where:

m(t) - Current mass of the radioactive isotope, in miligrams.

m_{o} - Initial mass of the radioactive isotope, in miligrams.

t - Time, in years.

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First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):

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The expected mass of the sample in the year 2009 is approximately 60 miligrams.

5 0
3 years ago
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