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Digiron [165]
3 years ago
9

Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or

iginal price of $59.60. Store B has it on sale for $50.99. Determine which is the better buy? What is the total price after 6% sales tax at this store?
Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

Store A is better buy.

$53.70

Step-by-step explanation:

We have been given that Constance wants to purchase an school jacket. Store A had the jacket for 15% off the original price of $59.60.

Let us find price offered by store A by finding 85% of $59.60 as because 100% minus 15% is equal o 85%.

\text{Price offered by store A}=\frac{85}{100}\times \$59.60

\text{Price offered by store A}=0.85\times \$59.60

\text{Price offered by store A}=\$50.66

Store B has the same jacket at a price of $50.99 and price of jacket at store A after discount is $50.66, therefore, store A is a better buy.

Let us find total price of jacket after adding 6% of $50.66 to $50.66 as:

\text{Total price of jacket}=\$50.66+\$50.66\times \frac{6}{100}

\text{Total price of jacket}=\$50.66+\$50.66\times0.06

\text{Total price of jacket}=\$50.66+\$3.0396

\text{Total price of jacket}=\$53.6996

\text{Total price of jacket}\approx \$53.70

Therefore, the total price of jacket after 6% sales tax would be $53.70.

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PIT_PIT [208]
5a + s = 2662
a + s = 1198
4a = 1464
a = 366

5(366) + s = 2,662
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2662 - 1830 = 832
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3 years ago
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Answer:

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Step-by-step explanation:

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A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be
irina [24]

Answer:

Dimensions of the pen:

x = 11 ft

y = 6 ft

Step-by-step explanation:

Let call "x"  and "y"  dimensions of the rectangular pen  and  x > y, so the interior fences will be equal to y.

The exterior length is 2*x + 2*y and its cost is (2*x + 2*y ) *20.40

The interior fences are 2*y  and its cost is 2*y* 17

Total cost C  = (2*x + 2*y ) *20.40 +  2*y* 17       (1)

Now area inside the pen is 66 ft²  and it is equal to:

A = x*y    ⇒  66 = x*y   ⇒  y = 66/x

Plugging that value in equation (1) will give C as a function of x

C(x) = [ 2*x + 2* (66/x) ]* 20.40  +  2* (66/x) * 17

C(x) = ( 2*x + 132/x ) 20.40  +  2244/x

C(x)  = 40,80*x + 2692.8/x  + 2244/x

C(x) = 40.80*x  + 4936,8/x

Taking derivatives on both sides of the equation we get

C´(x)  = 40.80 - 4936,8/x²

C´(x)  = 0    ⇒   40.80 - 4936,8/x² = 0   ⇒  40.80 *x² = 4936,8

x² =  4936,8 / 40.80    ⇒  x²  = 121  ⇒  x √121

x = 11 ft

And  y = 66/x   ⇒  y  = 66/11    ⇒  y = 6 ft

3 0
4 years ago
Convert 9/25 to a percent
Arte-miy333 [17]

Answer:

36%

Step-by-step explanation:

Divide 9 and 25 as decimals.

4 0
3 years ago
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Find 6% of 890 and then add it to 890. So,
890x0.06=53.4
890+53.4=$943.50
3 0
3 years ago
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