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Marrrta [24]
4 years ago
13

Desk cost $349.50 once delivered invoice reflects $387.22. If tax is 7.5% how much was the shipping charge?

Mathematics
1 answer:
MariettaO [177]4 years ago
7 0

Answer:

Shipping charge was $11.51

Step-by-step explanation:

(1.075)($349.50) = $375.71 (cost of desk, with tax, without shipping)

Subtracting this amount from the total paid, $387.22, we get $11.51 as the shipping charge.

Check:  Does $349.50 + $11.51 + $24.47 = $387.22?  Yes


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The Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the T
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Answer:

2 minutes.  

Step-by-step explanation:

Let t be the time taken in competition and the distance covered by Achilles be x miles.

We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that distance covered by turtle will be: x-\frac{2}{5}.

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Since we know that \text{Time}=\frac{\text{Distance}}{\text{Speed}}, so we can set two equations for time taken by Achilles and turtle as:

t=\frac{x}{13}...(1)

t=\frac{(x-\frac{2}{5})}{1}...(2)

From equation (1) we will get,

x=13t

Upon substituting this value in equation (2) we will get,

t=\frac{13t-\frac{2}{5}}{1}    

Let us have a common denominator.  

t=\frac{\frac{65t-2}{5}}{1}

t=\frac{65t-2}{5}

Upon multiplying both sides of our equation by 5 we will get,

5t=5\times \frac{65t-2}{5}

5t=65t-2

5t-65t=65t-65t-2

-60t=-2

t=\frac{-2}{-60}

t=\frac{1}{30}

So, the competition took 1/30 hour, let us convert our given time in minutes.

\frac{1}{30}\text{ hour}\times \frac{60\text{ minutes}}{\text{hour}}

\frac{1}{30}\times 60\text{ minutes}

2\text{ minutes}  

Therefore, the competition took 2 minutes.


8 0
3 years ago
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