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Svetllana [295]
3 years ago
13

Cindy's Gift Shoppe purchased 8-inch candles at $9.95 a dozen, less a 25 percent trade discount. If the owner wishes to sell the

candles at a 35 percent makeup, what should be the selling price of each dozen?
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0
The first thing you should do for this case is to take 35% out of 9.95
 We have then
 (0.35) * (9.95) = 3.4825
 Then, we must add this value from the original price of a dozen
 9.95+3.4825 = <span> <span>13.4325
 less a 25 percent trade discount
</span></span> 13.4325*(1-0.25)=<span> <span>10.074375
</span></span> answer
 the selling price of each dozen should be $<span> <span>10.074375</span></span>
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The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

  • A fence must be built to enclose a rectangular area of 20,000 ft²
  • Fencing material costs $4 per foot for the two sides facing north and south and ​$8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides  is y feet

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- Divide both sides by x to find y in terms of x

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∵ The cost of the fence (C) = 4(2x) + 8(2y)

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To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ \frac{320,000}{x} can be written as 320,000x^{-1}

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∵ \frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}

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Substitute x in the equation of C to find the least cost of fence

∵ C=8(200)+\frac{320,000}{(200)}

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

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