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OLga [1]
3 years ago
7

The owner of an audio store received a shipment of portable stereos at a cost of $102.30 each. If he sells the stereos for $181.

09 each, what is the percent markup?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
3 0
So here, we are starting with two numbers: the original price, and the price after the percent increase.

First, we need to find the differences between the prices to figure out how much of a difference the percent made. $181.09 - $102.30 = $78.79

$78.79 is how much money the original price was increased by. We can find the percent change using this, since this number is what percent of the original price went up.

So now: $78.78 / $102.30 = .77018

And now, we convert that to percent: 77%

The markup was 77%.
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An observer in tower A sees a boat 1538 yd away at an angle of depression of 35°. To the nearest yard, how far is the boat away
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From my own solution, my answer is closest to D<span>. 1951 yd; 27°
</span><span>
The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27</span>°.<span>

Pls. see my attachment. 

In it I divided the big triangle into two small right triangles. 
I solved for the common leg of the right triangles by using sin theta formula. sin </span>θ = opposite / hypotenuse
<span>
sin 35</span>° = opposite / 1538 yd
<span>sin 35</span>° * 1538 yd = opposite
<span>882.16 yd = opposite

From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle. 

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

tan(y) = opposite / adjacent
tan(y) = 1538 yd / 3000 yd
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y = 0.513/tan
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</span>

8 0
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Step-by-step explanation:

convert 2 1/4 to 9/4

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