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IgorC [24]
3 years ago
10

How much money should be deposited today in an account that earns 6% compounded semiannually so that it will accumulate to $14,0

00 in three​ years?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Answer:

The amount of money to be deposited today is $11,725

Step-by-step explanation:

In this question , we are concerned with calculating the amount of money that should be deposited presently to have $14,000 in three years.

To get this, we have to use the compound interest formula

A = P( 1+ r/n)^nt

where A is the amount to be earned after the end of the compounding period which is $14,000 according to this question

P is the initial amount to be deposited which is what we are looking for

r is the rate of compounding which is 6% or simply 6/100 = 0.06

n is the number of times interest is compounded yearly which is semiannually according to the question and this means 2

t is the number of years which is 3 according to the question

Now, plugging all these values, we have;

14,000 = P( 1 + 0.06/2)^(3 * 2)

14,000 = P(1+0.03)^6

14,000 = P(1.03)^6

14,000 = 1.194P

P = 14,000/1.194

P = 11,724.77 which is approximately $11,725

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Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".

By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

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6 0
3 years ago
Solve for (x)<br> x+15=3x+5
dolphi86 [110]

Answer:

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3 years ago
For all values of x, which expression is equivalent to 4(5x + 3) - 4x?
kaheart [24]
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Solve algebraically for x: 4-√2x-5) = 1
klemol [59]
Here's how to solve this equation:

4 - <span>√2x-5 = 1
</span><span>√2x-5 = 4-1
</span><span>√2x-5 = 3 (now we have to square both sides to get rid of the root)
</span><span>√2x-5=3  / ^2
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x = 14/2
x = 7

The correct answer is 7. </span>
5 0
3 years ago
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