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alekssr [168]
4 years ago
7

You just won a contest! you will receive $100,000 a year for 20 years, starting today. if you can earn 12 percent on your invest

ments, what are your winnings worth today?
Mathematics
1 answer:
ladessa [460]4 years ago
7 0
The formula that we will use is:
C × {{1 - [1/(1 + r)t]}/r} +c

C = 100,0000
r = .12
t = 20

= 100000 * {{1 - [ 1/ (1 + .12)^19]}/ .12} + 100000
approximately 836,577.69

I am using a scientific calculator so just insert right the number and you will come up with the correct answer. The answer in this question is $836,577.69
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Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogra
Naddika [18.5K]

Answer:

The answer is below

Step-by-step explanation:

Which statements are true about the parallelograms? Check all that apply.

The length of side MN is 2 units.

The length of side M'N' is 5 units.

The image is smaller than the pre-image.

Sides MQ and M'Q' both have the same slope, 1.

The scale factor is 2/5

a) The length of side MN is determined using the formula:

|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-2)^2+(-2-(-2))^2}=\sqrt{2^2}=2\\  \\ |MN|=2

The first option is correct

b) The length of side M'N' is determined using the formula:

|M'N'|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(10-5)^2+(-5-(-5))^2}=\sqrt{5^2}=2\\  \\ |M'N'|=5

The second option is correct

c) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q' , hence parallelogram M'N'P'Q'  is bigger that parallelogram MNPQ. This means that The image is bigger than the pre-image.

The third option is wrong

d) The slopes are given as:

Slope\ of\ MQ=\frac{Change\ in\ y}{Change\ in\ x}=\frac{1-2}{-3-(-2)} =1\\ \\Slope\ of\ M'Q'=\frac{Change\ in\ y}{Change\ in\ x}=\frac{3-5}{-7-(-5)} =1\\

Option four is correct

e) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q', hence the scale factor is 5/2

Option 5 is wrong

6 0
3 years ago
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True or False? If ab>0, then a>0, b>0 or a<0, b<0
pickupchik [31]

Answer:

true

2. If ab = 0, then a = 0 or b = 0. This statement is true. It is a property of the real numbers which was stated in class

6 0
2 years ago
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Please help me. I want to get a on this assignment.
Alona [7]
The following that will have no solution is B. It’s B because the final equation is 0 = -5. Which is no solution.
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3 years ago
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How many sides does a regular polygon have if the measure of each interior angle is 1600?
Art [367]

Answer:

18 sides

Step-by-step explanation:

with regular polygons it is best to remember that:

(1) all the EXTERIOR angles add up to 3600

(2)  1 exterior angle+1 interior angle =1800

Work with the exterior angles. In this case:

1 int. <=180−160=200

No. of sides =36020=18

7 0
3 years ago
What is a NON-EXAMPLE of a contant?
Vanyuwa [196]

A constant in algebra is a number on its own or a letter of the alphabet that can stand to represent a fixed number.

Step-by-step explanation:

For example ;

3x+5=11

in this equation

3 is the coefficient

x is a variable

+ is the operator

5 is a constant

11 is a constant

Learn More

A constant ;brainly.com/question/13225486

Keywords ; non-example, constant

#LearnwithBrainly

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3 years ago
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