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3241004551 [841]
3 years ago
12

HELP PLZ Derek’s favorite clothing store is having their annual fall sale. All clothing is 25 percent off. A shirt he really lik

es has an original price of $28. Derek has $24 in his wallet. He is wondering if he has enough money to buy the shirt now that it is on sale. He knows he must also pay sales tax. The sales tax rate is 8 percent and is calculated on the discounted price. Does Derek have enough money to buy the shirt? Justify your answer. Your explanation should contain answers to the following questions: 1. What is the amount of the discount? 2. What is the sale price? 3. How much will Derek pay in sales tax? 4. What is the total cost of the shirt? 5. Does Derek have enough money to buy the shirt?
Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:


Step-by-step explanation:

257

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1 year ago
Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

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dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
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