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Alenkinab [10]
3 years ago
13

If an amount of money is invested at an annual interest rate of 6%, it doubles every 12 years. If Alejandra invests $500, how lo

ng will it take for her investment to reach $2,000 (assuming she does not contribute any additional funds)?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
By earning an annual interest, the amount of money that can be earned after n years is calculated through the equation,
                                 F = P x (1 + r)^n
Substituting the known values,
                               2,000 = 500 x (1 + 0.06)^n
The value of n from the equation above is 23.79 or approximately 24 years. 
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Answer: C
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4 0
3 years ago
Help help math math math
ser-zykov [4K]

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

<em>Additional comment</em>

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

4 0
3 years ago
How do I solve this? (please help to find what goes in the boxes as well)
natta225 [31]

Answer:

First Box: Factor by difference of squares

Second Box: It has all perfect squares

Third Box: see my work

Step-by-step explanation:

We have the equation 4x^2=36

Before we do anything, let us bring all of the terms to the left side

4x^2-36=0

Now that we have moved the terms to one side, it is clear that we have a difference of squares.

-Work-

4x^2=36\\\\4x^2-36=0\\\\(2x+6)(2x-6)=0\\\\

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2x+6=0\\\\2x=-6\\\\x=-3

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2x-6=0\\\\2x=6\\\\x=3

5 0
3 years ago
The daily earnings of an employee who works on a commission basis are given by the following probability distribution. Find the
elena-s [515]

Answer: The employee's expected earnings is 78.5.

Step-by-step explanation:

Since we have given that

$   Probability

0         0.07

25       0.12

50       0.17

75       0.14

100     0.28

125      0.18

150     0.04

We need to find the employee's expected earnings.

As we know the formula for "Expectation":

E(x)=0\times 0.07+25\times 0.12+50\times 0.17+75\times 0.14+100\times 0.28+125\times 0.18+150\times 0.04\\\\E(x)=0+3+8.5+10.5+28+22.5+6\\\\E(x)=78.5

Hence, the employee's expected earnings is 78.5.


7 0
3 years ago
Simplify 3(3x_2y)_(4x_6y)<br><br><br>​
klemol [59]

Answer:

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Step-by-step explanation:

I think the problem was.  

3(3x - 2y) - (4x - 6y)

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