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

Answers

Answer 1

The quarterly payment will be $1,127.86

What is compound interest?

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

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Related Questions

NEED ANSWERS QUICKLY, CORRECT ANSWER GETS BRAINLIEST!

Answers

Answer:1.25

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

Answer number 8 please. Thank you.

Answers

Answer:

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

A triangle has to add up to 180 so it’s C that’s wrong

assume that

show work

Answers

Answer:
Assume what? And show work for what?

WILL GIVE BRAINLIEST!!!JUST HELP PLEASE!

Answers

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 :))

I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram

Answers

Answer:

24.75

Step-by-step explanation:

keychain=$6.75

t.shirt=X

according to question

X+6.75=31.50

X=24.75

5 1/2 divided by 3 1/3

Answers

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!

According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s

Answers

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

What is the speed of the 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.

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Evaluate:
-5-(x+y)
2
where x=
3 and y = 6

Answers

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

-5-(x+y)

Put x and y

-5-(3+6)-5-9-14

Done!

One box measures 2 feet by 1 foot by 1 foot a larger box measures 2feet by 2 1/2 feet by 2 how many times larger is the volume of the larger box then the smaller box

Answers

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

How many times larger is the larger box?

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

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four rectangles with the same area, the length varies inversely as the width. one rectangle has a length of 12cm and a width of 5cm. find the length of another rectangle with the same area whose width is 4cm

Answers

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

the annual income of Sam is $37,368 . what is his monthly income if he earns an equal amount every month​

Answers

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]

Annabelle read 10 books in 2 months. What was her rate of reading, in books per month?

Answers

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

100 point to the first correct answer

Given the discrete random variable X: What is the probability distribution of X if X ~B(2, 5/17)?

Answers

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**

If two triangles are congruent, which of the following statements must be
true? Check all that apply.

A. The triangles have the same size, but not the same shape.
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.

Answers

congruent means that the triangles are the same making B, C, D the correct answers. A will not work since both need to be the same shape

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:

.

20 points!!!Solid metal support poles in the form of right
cylinders are made out of metal with a density of 5.2
g/cm². This metal can be purchased for $0.35 per
kilogram. Calculate the cost of a utility pole with a
radius of 19 cm and a height of 620 cm. Round your
answer to the nearest cent. (Note: the diagram is not
drawn to scale)

Answers

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

What is density?

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

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Please help! locks in 30 min!

Answers

the answer is -1/2
:)

The answer is the first one!

The height of a building in a drawing is 15 inches at the actual height of the building is 165 feet find the scale factor of the drawling

Answers

165 ft / 15 inches = 11


scale = 1 inch = 11 feet

which is written as 1:11

165ft/1:11total =14.11

Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.

How much more does Sofia spend than Flynn?

Answers

2 over 25 or 8% i’m pretty sure

Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is Choose... cubic feet, and the volume of fish tank B is Choose... cubic feet. So fish tank Choose... has a greater volume. Its volume is greater by Choose... cubic feet. 10 / 14 9 of 14 Answered

Answers

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

fA= 2.3, B = 8.7 and C = 2.2, find the percentage error in evaluating A+B/C

Answers

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.

Can someone help me please

Answers

Answer:

The Area of the shaded region :

(x²)(4x-1) - (5x)(x+7) =

4x³ - x² - 5x² - 35x =

4x³ - 6x² - 35x

A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.

Answers

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

What is a proportion?

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

3 1/2 x 2 1/2 pls help ASAP!!!!

Answers

Answer:

Your answer is 8.75 or 8 ¾

Step-by-step explanation:

3 ½ × 2 ½ = 8 ¾

Have a nice day! :)

PLEASE HELP I HAVE A TEST TOMORROW

Answers

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

What is the solution of (4 x minus 16) superscript one-half baseline = 36? x = 5 x = 13 x = 20 x = 328

Answers

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:

A ball is thrown into the air with an initial velocity of 64 feet per second from a height of 336 feet. After how many seconds will the ball return to the ground and have a height of zero again

Answers

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.

3x - 12y = 6
x - 4y = 2
solve by elimination

Answers

Answer:

the problem has an infinite number of solutions

Explanation:

3x - 12y = 6x - 4y = 2

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

⇒ ( x - 4y = 2 ) * 3⇒ 3x - 12y = 6 __ equation 2

3x - 12y = 6 __ equation 1

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

While pushing a shovel into the ground with a force of 555 newtons ant an angle of 44 ∘ 44 ∘ to the ground. Find the magnitudes of the horizontal and vertical components of the force to the nearest whole newton.

Answers

The Horizontal component is 554.889N and the vertical component is

9.8235 Newton

Resolution of Forces

Given Data

Force = 555 NewtonAngle of Applied force = 44°Fx = Horizontal component of the applied forceFy = the vertical component of the applied force

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

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can you solve please -8(0.09) (-0.5)=?

Answers

-8(0.09) (-0.5) = 0.36

-8(0.09) (-0.5)

(-0.72) (-0.5)

0.36

Answer:

[tex]\boxed{\sf{0.36}}[/tex]

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

Therefore, the final answer is 0.36.

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

Which equation can be used to solve for m∠1? m∠1 = one-half(a – b) m∠1 = one-half(a b) m∠1 = one-half(c – d) m∠1 = one-half(c d)

Answers

The equation will be:

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

What is arc of circle?

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]

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Answer: a

Step-by-step explanation:

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