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dexar [7]
3 years ago
12

A store has a 2 5 % 25% off sale on coats. With this discount, the price of one coat is $ 3 4 . 5 0 $34.50. What is the original

price of the coat?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

The original price of the coat is $46

Step-by-step explanation:

In order to find this, we need to start with the cost after the discount. We can then divide this by the amount in percentage that we paid. Since it is 25% off, we paid 75%.

$34.50/75% = $46

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Revenue
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Answer:

Step-by-step explanation:

Given that a  small business assumes that the demand function for one of its new products can be modeled by

p=ce^{kx}

Substitute  the given values for p and x to get two equations in c and k

40 = ce^{1200k} \\45 = ce^{1000k}

Dividing on by other we get

\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589

Substitute value of k in any one equation

45 = ce^{-0.589} \\c=45.02651

b) Revenue of the product is demand and price

i.e. R(x) = p*x = 45.02651xe^{-0.000589x}

Use Calculus derivative test to find max Revenue

R'(x) = 45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0
3 years ago
You have been sent to grocery shop. They gave you $25.00 and the list of what
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Answer:

you would have $2.98 left

Step-by-step explanation:

$4.59 x 2=9.18

3.00 x 3=9.00

$1.99 x 2=3.98

$9.18+$9.00+$3.98=22.16

$25.00-$22.16 = $2.89

3 0
2 years ago
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