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4 years ago

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Three financial institutions, A,B,C, are offering different rates on a loan. Is a offer 3.15 % annual compounded monthly, B offe

rs 2.25% compounded quarterly, C offers 2.05% compounded daily. Determine which of the institutions offers best deal. Explain and make a conclusion.

1 answer:

coldgirl [10]4 years ago

8 0

Answer:

Step-by-step explanation:

Given that interest rates are as follows:

Let P be 100 dollars for each.

A) 3.15% compounded monthly.

Hence amount = $100(1+\frac{3.15}{1200} )^{12}$

Final amount = 103.20 dollars

B) 2.25% compounded quarterly

Final amt. = $100(1+\frac{2.25}{400} )^4$

=102.27

C) 2.05% compounded daily

Amount = $100(1+\frac{2.05}{36500} )^{365}$

=102.07

Obviously A is the best deal.

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Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

$s = 4$ -- base sides

$V = 36$ -- Volume

<u>Pyramid B</u>

$s = 6$ --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

Read 2 more answers

Raymond was asked to solve for the length of the hypotenuse in a right triangle with legs that have side lengths of 4 and 5. His

ohaa [14]

Answer:

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

$c = \sqrt{41}$

Step-by-step explanation:

$a^2 + b^2 = c^2\\4^2 + 5^2 = c^2\\16 + 25 = c^2\\c^2 = 41\\c = \sqrt{41}$

Good luck!

3 0

3 years ago

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expeople1 [14]

I think its 7 or 10 Dont remember that question

5 0

3 years ago

What is the area of this rectangle?

Oksanka [162]

The area is 18 units squared, I believe.

4 0

3 years ago

PLEASE HELP!!! I REALLY NEED SOMEONE TO ANSWER THIS I HAVE ATTACHED A PICTURE

earnstyle [38]

Answer:

2.3 hours, or 2 hours & 18 minutes

Step-by-step explanation:

we are trying to find h when d is 56.68, so I replaced d with 56.68

$56.68=24.6h+0.1\\$

subtract 0.1 from both sides

$56.58=24.6h$

divide both sides by 24.6

$2.3=h$

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3 years ago