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docker41 [41]
3 years ago
11

Find the amount in a account where $200 is invested at 3.5% compounded quarterly for a period of 3 years.

Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

$222.04

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), where n is the number of times interest is compounded per year, t is the number of years and r is the interest rate as a decimal fraction.

Here, A = ($200)(1 + 0.035/4)^(4*3), or

             = ($200)(1.00875)^(12)  =  $200(1.11) = $222.04

The compound amout after 4 years (12 compounds) will be $222.04.

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3 years ago
What is 36 percent of 210?
ohaa [14]

Hey there!

Let's start by finding what 1% of 210 is.

This can be done by dividing 210 by 100, since 1% is the same as 1/100 of something.

210 ÷ 100 = 2.1

To find 36%, we can multiply 2.1 by 36.

2.1 x 36 = 75.6

So, 36% of 201 is 75.6.

Hope this helps!

4 0
3 years ago
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3 years ago
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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
kompoz [17]

Answer:

K(-4,8) is the ortho center.

Step-by-step explanation:

In a right angled triangle, The vertex of the right angle is the ortho center.

Here we are given

J(-4,-1), K(-4,8) & L(2,8)

Using distance formula we get

JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81

KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36

JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117

So we can say that

JK^2 + KL^2=JL^2

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)

K(-4,8) is the ortho center.

7 0
3 years ago
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