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NikAS [45]
3 years ago
6

Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Lets plug in the values:

A=5,000(1+\frac{0.12}{12})^{9(12)}

A=14,644.63

Tammy will own $14,644.63 after 8 years,

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The ratio of the sides of two similar octagons is 2:5. What is the ratio of the perimeters of these octagons?
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So we see the ratio of the sides of two similar octagons is 2:5 so let's say the first octagon has a side of 2 and the other has a side of 5. 2*8 = 16 and 5*8 = 40. 16:40 = 4:10 = and is again 2:5. So the answer is 2:5.
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2 years ago
Find the area of a square with a side measure of 3x − 6 feet.
Wittaler [7]

Area of a square: s^2

Because we know the length of one side, we can multiply it by itself to find the area.

(3x - 6)(3x - 6)

9x^2 - 18x - 18x + 36

Combine like terms.

9x^2 - 36x + 36

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3 years ago
The sum of three consecutive even numbers is 48. What is the smallest of these numbers?
SVETLANKA909090 [29]

Answer: The numbers are 14, 16 and 18.

Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.

Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.

Our equation now becomes;

a + a + 2 + a + 4 = 48

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Subtract 6 from both sides of the equation

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Divide both sides of the equation by 3

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Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of
antiseptic1488 [7]
The solution to the answer is as follows:

<span>x - y = 1...[1],
 
2x + y = 19...[2], {[1]+[2]}---> 3x = 30,
 
ie., x = 10. C is correct answer.
</span> 
I hope my answer has come to your help. God bless and have a nice day ahead!
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