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Komok [63]
2 years ago
13

If $5,000 is borrowed with an interest of 12.3% compounded semi-annually, what is the total amount of money needed to pay it bac

k in 3 years?
Round your answer to the nearest cent.

Do NOT round until you have calculated the final answer.
Mathematics
1 answer:
jarptica [38.1K]2 years ago
3 0

Answer:

$7153.03

Step-by-step explanation:

To find the total amount after 3 years, we can use the formula for compound tax:

P = Po * (1+r/n)^(t*n)

where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)

For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:

P = 5000 * (1 + 0.123/2)^(3*2)

P = 5000 * (1 + 0.0615)^6

P = $7153.029

Rounding to the nearest cent, we have P = $7153.03

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A cork has a mass of 3 grams and a volume of 16 cm3<br> . Calculate the density.
mel-nik [20]

Answer:

0.1875, or 3/16

Step-by-step explanation:

The formula for density is mass/volume.

I hope this helps :)

5 0
3 years ago
Read 2 more answers
If a cube with a 5-in side length is sliced in half. What is the surface area of the two pieces?
nydimaria [60]

 Hello there!

1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.

Now that you have this information, you can now find the surface area by using this formula:

A= 2lw+2lh+2hw

Now plug in your values:

A=2(5)(2.5)+2(5)(5)+2(5)(2.5)

This would simplify to:

A=25+50+25

A=100 in squared

Therefore, the surface area of the two pieces are 100 inches squared.

2.) To start, first plug the measurements of the tank into the cylinder volume formula:

V=\pir^2h

V=\pi(2.75)^2(10)

V= 237.58 cubic feet

Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:

237.58/3.7= 64.2108...

Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.

:)

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7 0
3 years ago
10 POINTS! Help please... <br> i will give brainliest.
SVETLANKA909090 [29]

Answer:

39

Step-by-step explanation:

using line and triangle property you can solve this question

4 0
3 years ago
Give an example to show that subtraction does not follow the associative rule
Agata [3.3K]

(6 - 2) - 1 = 4 - 1 = 3

6 - (2 - 1) = 6 - 1 = 5

The associative rule doesn't work for subtraction because you get different results when you move the parentheses.

4 0
3 years ago
8. In AABC, LA is a right angle and mzB = 45°. Find BC.
Margaret [11]

Answer:

BC = 11\sqrt{2}

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin 45° = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{11}{BC} = \frac{1}{\sqrt{2} } ( cross- multiply )

BC = 11\sqrt{2}

7 0
2 years ago
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