Mike bought shares of a brand-new corporation that manufactures dish antennas. He bought the stock years ago for S4,100. He recently sold this stock for 57,100. Express his capital gain as a percent of the original purchase price. Round your answer to the nearest tenth of aperient.

Answer:

A is ur answer

Step-by-step explanation:

a^2 + b^2 = c^2

c = 20

A.) Correct

u = 10√3

v = 10

u^2 + v^2 = c^2

10 = √100

√100 • √3 = √300

√300^2 + 10^2 = c^2

300 + 100 = c^2

400 = c^2

√400 = √c^2

20 = c

B.) Incorrect

u = 20√3

v = 10

u^2 + v^2 = c^2

20 = √400

√3 • √400 = √1200

√1200^2 + 10^2 = c^2

1200 + 100 = c^2

1300 = c^2

√1300 = √c^2

√1300 ≈ 36

C.) Incorrect

u = 20√3

v = 10√2

u^2 + v^2 = c^2

20√3 = √1200

10√2 = √200

u^2 + v^2 = c^2

√1200^2 + √200^2 = c^2

1200 + 200 = c^2

1400 = c^2

√1400 = √c^2

√1400 ≈ 37

D.) Incorrect

u = 10√3

v = 10√2

u^2 + v^2 = c^2

10√3 = √300

10√2 = √200

u^2 + v^2 = c^2

√300^2 + √200^2 = c^2

300 + 200 = c^2

500 = c^2

√500 = √c^2

√500 ≈ 22

Answer:

1st - 50%

2nd - 37.5%

3rd - 12.5%

Step-by-step explanation:

There are 8 ribbons, 4 of them are 1st place which is 50% of 8. 3 of them are 2nd place which is 37.5% and 1 of them is 3rd place which is 12.5%

Answer:

Radius

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

eeeeeeeeeetrhdhhwhejehr

Answer:

5. 1) C. 3/2·x + y = 2 ↔ y = -3/2·x + 2

6. 2) A. y = -2/3·x + 2 ↔  2·x + 3·y = 6

7. 3) D. y = 3/2·x + 2 ↔  y = 3/2·x + 2

8. 4) E. y = 2·x + 2 ↔  -6·x + 3·y = 6

9. 5) B. 3·x + y = 6 ↔  y = -3·x + 6

10. 6)  y = 5/4·x - 10, and y = 5/4·x - 11

11. 7)  y = -8·x + 15 and y = -8·x + 16

12. 8) 4·x + y = 7 and 4·x +  y = 6

13. 9) No

14. 10) Yes

Step-by-step explanation:

Two equations will have an infinitely many solutions when that represent the same equation

5. 1) C. 3/2·x + y = 2 is the same equation as  y = -3/2·x + 2

6. 2) A. y = -2/3·x + 2 is the same equation as  2·x + 3·y = 6 (divide by 3 and make y the subject of the equation)

2·x/3 + 3·y/3 = 6/3 = 2

y = -2/3·x + 2

7. 3) D. y = 3/2·x + 2 is the same equation as  y = 3/2·x + 2

8. 4) E. y = 2·x + 2 is the same equation as  -6·x + 3·y = 6

-6·x/3 + 3·y/3 = 6/3 = 2

y = 6·x/3 + 2 = 2·x + 2

9. 5) B. 3·x + y = 6 is the same equation as  y = -3·x + 6

3·x + y = 6

- 3·x + 3·x + y  = -3·x + 6

y = -3·x + 6

Two straight line equations of the form, y = m·x + c, will have no solutions if they represent parallel lines and therefore, have equal slopes, m and different "y" intercepts, c

10. 6)  For y = 5/4·x - 10, we have the slope, m = 5/4 and the "y" intercept c = -10

Therefore, the equation that will make a system with "no solution" has the same value for "m" and a different value for "c" such as y = 5/4·x - 11

11. 7) For y = -8·x + 15,  similarly we have a system with "no solution" as follows;

y = -8·x + 15 and y = -8·x + 16

12. 8) For 4·x + y = 7, a system with "no solution" can be written as follows;

4·x + y = 7

∴  y = - 4·x + 7 which gives;

y = - 4·x + 7 and y = - 4·x + 6

From y = - 4·x + 6, we have;

4·x +  y = 6

The system with "no solution" can therefore also be written as follows;

4·x + y = 7 and 4·x +  y = 6

13. 9) No the sum of the two numbers and the result forms a function  with the sum of the two numbers being the inputs of the function and their value, 8 being the output of the function and therefore, the input of a function can not have multiple outputs which are 8 and 10 which makes it not possible

14. 10) Yes, by the definition of a function, it is possible for two different inputs to a function to have the same output, therefore, given that the operation performed on the two inputs are different, the two inputs can be considered as different an can have he same output

For example, we have 8 + 0 = 8 and 8 - 0 = 8.

Answer:

Radius of the cylinder=Diameter/2=8/2=4 cm

Volume of the cylinder=π(radius)²(height)

22/7×4×4×15=754 cm³(approx)

Mass of the cylinder=Density×Volume

=1.95g/cm³×754cm³

=1470 grams

Mass of the cylinder is 1470 grams

Hence, the mass of the cylinder is 1469.52 grams

A solid geometric figure with straight parallel sides and a circular or oval cross section.

According to the figure given ,

[tex]r=[/tex] radius of cylinder = diameter of cylinder/2 = 8/2 = 4cm

[tex]h=[/tex] height of cylinder= 15 cm

therefore, by formula:

Volume of Cylinder= [tex]\pi r^2h[/tex]

[tex]=3.14*4*4*15[/tex]

= 753.6 cm^3   ...........................(1)

Now, by the formula:

Density = Mass/Volume

Given, Density of Cylinder = 1.95g/cm^3

and,  from (1)

Volume of Cylinder= 759.6 cm^3

therefore, Density = Mass of Cylinder/Volume of Cylinder

or, Mass Of Cylinder = Density*Volume

hence, Mass of Cylinder = [tex]1.95*753.6[/tex]

                                         =  1469.52 grams

Hence , Mass of Cylinder is 1469.52 grams.

for learning more about Volume of Cylinder , visit:

https://brainly.com/question/23706913

#SPJ2

Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = [tex]\frac{1}{5}*50[/tex]

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = [tex]\frac{1}{2}*50[/tex]

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

Answer: Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, you multiply the tops and bottoms separately to get your answer.

Step-by-step explanation:

Answer:

The amount is $2137.24 and the interest is $237.24.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A = P[tex](1+\frac{x}{y} )nt[/tex]

A = total amount P = principal or amount of money deposited, r = annual interest rate n

= number of times compounded per year t = time in years In this example we have

P = $1900 , r = 4% , n = 1 and t = 3 years

After plugging the given information we have

A = 1900 [tex](1+\frac{0.04}{1})^{1*3}[/tex]

A = 1900 · 1.0[tex]4^{3}[/tex]

A = 1900 · 1.124864

A = 2137.24

STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we

have:

A = P + I

2137.24 = 1900 + I

I = 2137.24 − 1900

I = 237.24

Answer:

5b - 0.9b, distributive property

Step-by-step explanation:

The expression that is used to find the price of 5 loaves of bread is given by :

5(b-0.18b)

We need to rewrite the above expression.

Distributive property : a(b+c) = ab + ac

Here, a = 5, b = b and c = -0.18b

5(b-0.18b) = 5(b) + 5(-0.18b)

= 5b - 0.9b

So, the equivalent expression is 5b - 0.9b. The distributive property was used to rewrite the expression.

Answer:

I think It is D

Answer:

It's D.

Step-by-step explanation:

I'm pretty sure about the answer.thank u

Answer:

y=-1x+3

Step-by-step explanation:

Answer:

7 tarts

Step-by-step explanation:

1st step: find half of 9 1/3 = 28/3 x 1/2 = 14/3

2nd step: divide 14/3 by 2/3 so you multiply by the reciprocal of the 2nd fraction

14 x 3 = 7

3       2

Answer:

7 tarts

Step-by-step explanation:

First, lets make 9 1/3 into a full fraction. You can multiply 9x3 and add it to the numerator, which makes the fraction 28/3. Then it says half of the amount. "of" means to multiply, so lets do 28/3 x 1/2. We should get 28/6. Now, since each tart has 2/3 cups of blueberries, we should divide our fraction by 2/3 to find the amount of tarts. So 28/6 divided by 2/3. We can use KCF on 2/3 which makes the equation into 28/6 x 3/2. Finally, we should get 84/12, which simplified is 7.

Answer: I think Yes.

Step-by-step explanation:

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Step-by-step explanation:

Answer:

21) Angle A = 44 degrees

22) Angle A = 23 degrees

Step-by-step explanation:

The angles inside of every triangle always add up to 180 degrees, you can use this trigonometric identity to solve for x values:

Problem 21)

X + 59 + X + 51 + 84 = 180

2x + 194 = 180

2x = -14

x = -7

now solve for angle A:

Angle A = x + 51 = -7 + 51 = 44 degrees

Problem 22)

The square symbol inside a triangle denotes a 90 degree angle. Setting the angles equal to 180 degrees, you can find angle A again.

90 + x + 37 + x + 67 = 180

2x + 194 = 180

2x = -14

x = -7

now solve for angle A:

Angle A = -14 + 37 = 23 degrees

Answer: -4

Step-by-step explanation:

Answer:

a) 3 sec

b) 39 feet

Step-by-step explanation:

a) b(0) = -16(b)² + 50(0) + 3

    b(0) = 3

b) b(2) = -16(2)² + 50(2) + 3

   b(2) = -64 + 100 + 3

   b(2) = 36 + 3

Answer:

-1822-1233

-2183*-10

-(-10)

Step-by-step explanation:

Hope it helps

Answer:  

1. Ben and Cam are scuba diving. Ben is 15.815.815, point, 8 meters below the surface of the water. Cam is 4.24.24, point, 2 meters above Ben. What is Cam's position relative to the surface of the water?

2. 33 years ago, the residents of Planet X found a black hole leading to another galaxy. Since then, they have been leaving Planet X at a rate of 120 residents per year.

I dont know if you need word probles so heres but...

Answer:

0.03

Step-by-step explanation:

Calculation for What number did Michael used

Using this formula

Number used=Number of Product recorded/Number multiplied

Let plug in the formula

Number used =0.012/0.4

Number used =0.03

CHECK: 0.4*0.03=0.012

Therefore the number that Michael used is 0.03

Answer:

I think so but I'm not 100% sure

Step-by-step explanation:

[tex]26 = x + y \\ where \: x \: is \: the \: pack \: of \: pens \: and \: y \: is \: for \: the \: binders \\ but \: x = one \: pack \: of \: pens \\ = 1 \times 4.15 \\ y = 5 \times number \: of \: binders \\ substituting \\ 26 = 1(4.15) + 5x \\ 26 - 4.15 = 5x \\ 21.85 = 5x \\ x = 4.37[/tex]

Jasmine has only $26 to buy her materials, and we found that the highest number of binders she could buy is at 4.37.

The variable is the second x which is the number of binders since she could change the amount of binder she wants to buy. Comparing to the one pack of pens, Jasmine has already decided that she will only buy one not two, not three, etc. Therefore, the pack of pens is not a variable as she cannot change the amount of pack of pens she can buy.

Answer:

she could buy 4 binders and 1 pack of pens and she have 85cents left

Step-by-step explanation:

Answer:

$1.26 per ounce

5 jars=$50.40

Step-by-step explanation:

$10.08/8 ounces=$1.26 per ounce

$10.08/jar x 5 jars=$50.40

Answer:

$4.25

Step-by-step explanation:

Answer:

The price of 17 minutes call = $4.25

Step-by-step explanation:

Given

Thus,

The unit rate can be calculated

Unit rate = $1.25 / 5 minutes

Unit rate  = $0.25 per minute

So,

The price of one minute call = $0.25

The price of 17 minutes call = 0.25 × 17

                                               = $4.25

Therefore, the price of 17 minutes call = $4.25

Answer:

$30,000 down payment is 15% of purchase price

$80,000 down payment would be 40% of purchase price

Step-by-step explanation:

x = percent of purchase price

30,000 = 200,000x

3/20 = x

3/20 = 15/100 = 15%

80,000 = 200,000x

8/20 = x

8/20 = 40/100 = 40%

Answer:

Solution,

<TWR = <PWQ = 128° [Vertically opposite angles]

<TWS = 128°-31° = 97° = [tex]\frac{97\pi ^{c}}{180}[/tex] = ∝

Arc TS (l) = ?

Radius (r) = 4.5mm

Now,

[tex]\alpha = \frac{l}{r} \\or, \frac{97\pi ^{c}}{180} = \frac{l}{4.5} \\or, l = \frac{(97\pi)(4.5) }{180} = \frac{436.5\pi }{180}[/tex]≈ 7.61mm

The required measure of the arc TS is given as 7.61 mm.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
In the diagram,
∠TWR = ∠PWQ
∠TS + 31 = 128
∠TS = 97°

Now,
Arc = angle × radius
Arc = 97 × π /180 × 4.5
Arc =  7.61 mm

Thus, the required measure of the arc TS is given as 7.61 mm.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Answer:

[tex] {x}^{2} + 14x - 15 = 0 \\ {x}^{2} - x + 15x -15 = 0 \\ x(x - 1) + 15(x - 1) = 0 \\ (x - 1)(x + 15) = 0 \\ \boxed{x = 1} \\ \boxed{x = - 15}[/tex]

Answer:

0.5

Step-by-step explanation:

Answer:

0.5= 1/2

Explanation:

Hope that helps