Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒  n = 2

⇒  p = 5/17

Binomial distribution formula:

[tex]\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x[/tex]

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):

[tex]\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}[/tex]

[tex]\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}[/tex]

[tex]\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}[/tex]

**Probability Distribution Table attached**

Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.

A proportion is a fraction of a total amount.

In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:

[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]

It would take 1 hour for the pedestrian to travel the same distance.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

a = 12

Step-by-step explanation:

Pythagorean Theorem: A^2 + B^2 = c^2

9^2 + b^2 = 15^2

81 + b^2 = 225

225 - 81 = 144

[tex]\sqrt{144}[/tex] = 12

Have an amazing day!!

Good luck on your test!!

Please rate and mark brainliest!!

Step-by-step explanation:

use the picture as reference and solve accordingly

best of luck for your test

The equation will be:

[tex]m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)[/tex]

The arc of the circle is the curved line on the circle formed by the angle and the radius of the circle.

In the attached picture of the question, we can see that

The measure of the interior angle is the semi-sum of the arches that comprise it and its opposite.

So the equation will be

[tex]m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)[/tex]

To know more about Arc of circle, follow

https://brainly.com/question/25305793

Answer: a

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

You need to at A and B so 2.3+8.7=11. Then you take your 11 and - by C 2.2.

Hope this helps.

Answer:

  7 seconds

Step-by-step explanation:

Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...

  h(t) = -16t^2 +64t +336

__

This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.

  0 = -16t^2 +64t +336

  0 = t^2 -4t -21 . . . . . . . . divide by -16

  0 = (t -7)(t +3) . . . . . . . factor the quadratic

  t = 7 . . . . . . the positive value of t that makes the equation true

The ball will return to the ground after 7 seconds.

__

Additional comment

A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.

In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.

Answer:

24.75

Step-by-step explanation:

keychain=$6.75

t.shirt=X

according to question

X+6.75=31.50

X=24.75

Answer:

The Area of the shaded region :

(x²)(4x-1) - (5x)(x+7) =

4x³ - x² - 5x² - 35x =

4x³ - 6x² - 35x

Answer:

The answer is 15 cm.

Step-by-step explanation:

y= k/x

x= width

y= length

So there for;

x= 5

y= 12

Which means that;

12= k/5

k= 60

And then;

y= 60/x

Which then finally means that;

y= 60/4

60/4= 15 cm

Answer:

Explanation:

make the coefficient of x same by multiplying the entire following by 3

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

B. The corresponding sides of the triangles are congruent.

I c. The corresponding angles of the triangles are congruent.

D. The triangles have the same size and shape.

Step-by-step explanation:

.

Answer:
Assume what? And show work for what?

Answer:

Volume of fish tank A is 200

Volume of tank B is 160

Tank A’s volume is greater by 40 cubic feet

Step-by-step explanation:

25 x 8 = 200

40 x 4 = 160

So:

200 - 160 = 40

answer

For each

x

in the expression you substitute

−

3

and for each

y

you substitute

5

. Make sure to handle the signs correctly. Remember

(

−

−

=

+

)

(

(

2

⋅

−

3

)

−

5

)

3

−

(

5

−

(

−

3

⋅

5

)

−

6

)

(

−

6

−

5

)

3

−

(

5

−

(

−

15

)

−

6

)

−

11

⋅

3

−

(

5

+

15

−

6

)

−

33

−

(

20

−

6

)

−

33

−

14

−

47

Answer linkStep-by-step explanation:

Let's see

Put x and y

Done!

Answer:

1 13/20

Step-by-step explanation:

5 1/2 ÷ 3 1/3

11/2 ÷ 10/3
11/2 x 3/10 = 33/20

33/20 = 1 13/20

Hope this helps :)

Answer:

17/62 = 0.27419

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

The Horizontal component is 554.889N and the vertical component is

9.8235 Newton

Given Data

Resolving the vertical force

Fy = 555 sin44°

Fy = 555 *0.01770

Fy = 9.8235 Newton

Resolving the horizontal force

Fx = 555 cos 44°

Fx = 555 *0.9998

Fx = 554.889 Newton

Learn more about forces here:

https://brainly.com/question/25997968

Answer:

The answer is C. A triangle has a total angle of 180°, therefore C. is more than 180°

The number of times the larger box is bigger than the smaller box is 5.

The first step is to determine the volume of both boxes.

Volume = length x width x height

Volume of the larger box = 2 x 2 1/2 x 2 = 10ft³

Volume of the smaller box = 2 x 1 x 1 = 2 ft³

Now divide the Volume of the larger box by the volume of the smaller box : 10 / 2 = 5

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

Answer:

[tex]\huge\boxed{\sf \$ 3,114}[/tex]

Step-by-step explanation:

Annual Income of Sam = $37,368

To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)

Monthly Income:

= $37,368 / 12

= $3,114

[tex]\rule[225]{225}{2}[/tex]

Density is mass per unit volume.  The cost of the metals from the calculations performed is $1280.

Density is defined as the ratio of the mass of an object to its volume. We have the following information;

Mass of the metal = ?

Density of the metal = 5.2 g/cm3

height of the metal = 620 cm

radius of the metal = 19 cm

Volume of a cylinder = πr^2h = 3.142 * (19)^2 * 620 cm = 703242cm^3

Mass = density * volume = 5.2 g/cm3 * 703242cm^3

= 3657 Kg

If the cost is $0.35 per kilogram, then 3657 Kg costs; 3657 Kg * $0.35

= $1280

Learn more about volume: https://brainly.com/question/1578538

Answer:1.25

Step-by-step explanation:5/1/4=1.25

Answer:

328

Step-by-step explanation:

(4x − 16)^½ = 36

Square both sides:

4x − 16 = 36²

4x − 16 = 1296

Solve for x:

4x = 1312

x = 328

Answer X=328

Step-by-step explanation:

-8(0.09) (-0.5) = 0.36

-8(0.09) (-0.5)

(-0.72) (-0.5)

0.36

Answer:

Step-by-step explanation:

This problem can be solved by multiplying left to right by a decimal.

-8(0.09)(-0.5)

First, you have to do is remove these parenthesis.

[tex]\sf{8*0.09*0.5}[/tex]

Then, you solve.

Multiply.

[tex]\sf{8*0.09*0.5=\boxed{\sf{0.36}}}[/tex]

=0.36

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Your answer is 8.75 or 8 ¾

Step-by-step explanation:

3 ½ × 2 ½ = 8 ¾

Have a nice day! :)

The speed of light is 3.0 ×108m/s.

We have ask about the theory of Albert Einstein,

According to einstein, nothing in the universe can move faster than light

Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is

[tex]3.0\times108 m/s[/tex]

So that the nothing can travels faster than the speed of light.

light travels with very high speed.

Therefore we get the correct option is 3.

That is the speed of light is 3.0 ×108m/s.

To learn more about the speed of light visit:

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Answer:

uhhh… i dunno

Step-by-step explanation:

sry i cannot help u w/ this

Can u just put brainliest for this pls?

Thanks!

Answer:

0.5

Step-by-step explanation:

x + y = 1

y = 1 - x

f(x) = 1 - x

it is from 0 to 1

integral from 0 to 1 of (1 - x) dx

integral 1 dx - integral x dx

integral 1 dx = x

integral x dx = x²/2 by power rule

so the final integral is x - (x²/2)

now from 0 to 1

1 - (1²/2) - 0 - (0²/2)

1 - (1²/2) = 0.5

0 - (0²/2) = 0

0.5 - 0 = 0.5

(hope I could help and sorry about lateness :))

Answer:

5 books per month

Step-by-step explanation:

We are trying to find a rate.

To find books per month, we would take the number of books and divide it by the number of months.

This would give us 10 books/2 months.

10/2 simplifies to 5.

Therefore the answer would be 5 books per month.

Answer:

You need to divide it I don't have a calculator because my mom don't want me to calculate she let me to calculate it on my brain btw please brainless me

165 ft / 15 inches = 11

scale = 1 inch = 11 feet

which is written as 1:11