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yuradex [85]
3 years ago
13

A company wants to have $20,000 at the end of a ten-year period by investing a single sum now. How much needs to be invested in

order to have the desired sum in ten years, if the money can be invested at 12%
Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer:

<h2>Principal is $6441.22 </h2>

Step-by-step explanation:

let us assume  the investment is compounded over the given period

Given data

Final amount A= $20,000

Rate r= 12%= 0.12

Time t= 10 years

principal=?

The compound interest formula is

A= P(1+r)^n^t

Substituting our given data we have

20000= P(1+0.12)^1^0\\20000= P(1.12)^1^0\\20000= P(3.105)\\

Dividing both side by 3.105 to find P

P=\frac{20000}{3.105} \\P= 6441.22

Principal is $6441.22

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Find the GCF of 18xy and 32xyz
Tanzania [10]
<h3>Answer:</h3>

2xy

<h3>Step-by-step explanation:</h3>

GCF stands for the greatest common factor.

Finding All Factors

To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.

  • The factors of 18 include: 1, 2, 3, 6, 9 and 18
  • The factors of 32 include: 1, 2, 4, 8, 16, and 32

Next, lay out the variables that are factors.

  • The variables of 18xy are x and y.
  • The variables of 32xyz are x, y, and z.

Remember that variables count as factors

Greatest Common Factor

Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.

In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.

4 0
2 years ago
Which condition must be satisfied in order to use the arc length formula L = the integral from a to b of sqrt(1 + f'(x)^2) dx?
ivanzaharov [21]
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve. 
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Novay_Z [31]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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nlexa [21]

Answer:

c

Step-by-step explanation:

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Write −2.32 as a mixed number in simplest form.
skelet666 [1.2K]

Answer: -2 8/25

Step-by-step explanation:

-2.32 * 100/100

2.32*100/100

-232/200

Simplest form reduced by:

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