Answer:
144 gold bars
Step-by-step explanation:
first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36
once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144
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Answer: Last option.
Step-by-step explanation:
Observe the base of the pyramid, which is a regular hexagon. You can see that there is a right triangle.
The area of the triangle can be calculated with this formula:

Where "b" is the base and "h" is the height.
You can say that the apothem is the height of the right triangle, then, you need to find the base applying the Pythagorean Theorem:

Then, the area of the triangle is:

Since the base of the pyramid is a regular hexagon, then you can multiply by 12 the area of the right triangle calculated above, in order to find the area of the hexagon. Then you get:

Year Net Profit
1 <span>$14,250.00
2 $15,390.00
3 $16,621.20
4 $17,950.90</span>2
We need to get the increase of the net profit of the current year from the previous year.
Percentage increase = (Current year - Previous Year)/ Previous Year * 100%
Year 2: (15,390 - 14, 250) / 14,250 * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
Year 4: (17,950.90 - 16,621.20) / 16,621.20 * 100% = 0.08 * 100% = 8%
Every year the net income increases by 8%. So, the net income in Year 5 will be:
17,950.90 x 1.08 = 19,386.97 Choice D.
Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:

Now, we know the following identities:

Now, the values are:

Sine value is positive and cos, tan values are negative.
It can be clearly observed that
is in 2nd quadrant.
2nd quadrant means, the value of
will be negative and
will be positive.
Let us have a look at the value of
:

Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)