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 on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

Principle P= $16,231

Rate of interest r= 5.1% compounded quarterly

Tenure n= 4 year =16 quarters

What is the formula for quarterly payment?

The formula for quarterly payment is given as:

Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]

Where P=principle

r =quarterly rate of interest

n=tenure

Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]

Quarterly payment =$1508.31

Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

To get more about quarterly payments visit:

https://brainly.com/question/25792915


Related Questions

calculate the perimeter of a rectangle that is 5.5 c by 3.5 cm?

Answers

P = 2 x (5,5 + 3,5) = 18 cm

P = is the circumference of the figure

Answer:

the answer should be 18 cm

you can either do 2 × (length + width)

2 × (5.5 + 3.5)

2 × 9 = 18

or

5.5 + 5.5 = 11

3.5 + 3.5 = 7

11 + 7 = 18

either way it's 18, I hope this helps

6:4 is equivalent to ___:24.
What number do you think should go on the blank?

Answers

Answer:

36:24

Step-by-step explanation:

The second number was :24, and you started out with 6:4.

To get the 24, you would have to multiply the 4 by 6 to get the 24.

So, multiply the first number 6, as well by 6.

6 x 6 = 36

36:24

:)

Answer: 36

Step-by-step explanation: 6:4 = __:24

1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.

what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Answers

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

Please give me brainliest

The equivalent number is, 203.403.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Divide and simplify if possible sqrt 250x^16/sqrt 2x.

Answers

Answer:

125x^15

Step-by-step explanation:

Hope this helps! :)

The base of the sailboat is 9ft and the height is 15 what is the area??

Answers

A= 1/2 X base X height
a= 1/2 times 9 times 15 EQUALS TO 67.5
i hope this helps

Please help this is using the digits 0 to 9​

Answers

Answer:

1% of 100 = 1

Step-by-step explanation:

simple and easy :D hope this helps

Three playing cards in a row. Can you name them with these clues? There is a two to the right of a king. A diamond will be found to the left of a spade. An ace is to the left of a heart. A heart is to the left of a spade. Now, identify all three cards.

Answers

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

How many cents are in n nickels and c cents?

Answers

Using proportions, it is found that there are c + 0.25n cents in n nickels and c cents.

What is a proportion?

A proportion is a fraction of a total amount. To solve problems involving proportions, such as this one, multiplications of the amounts and their values are made.

In this problem, we consider that each nickel has 0.25 cents, hence, there are c + 0.25n cents in n nickels and c cents.

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

#SPJ1

c+0.25n cents is the answer.

Which one should I choose

Answers

Answer:

b) Quad ABCD must be a rectangle and could be a rhombus

Step-by-step explanation:

:)

Assume that f(x) = 2x^2 + 4. The function f(x) + k, where k is a constant, is represented by the graph below. what effect did adding k have on the graph of f(x)‽​

Answers

The effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

Shifting of quadratic graph is the vertical direction

Given the parent function of the given graph expressed as  f(x) = 2x^2 + 4.

If this function is represented as f(x)+k, the addition of the constant "k" shows hat the  function f(x) has been shifted vertically upwards by a factors of 'k'

Hence the effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

Learn more on translation here: https://brainly.com/question/12861087

WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT

The number of goals scored by players on a soccer team is represented by the box plot below.



The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.

Answers

The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

What is a Symmetric Data Distribution in a Box Plot?

A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.

A normally distributed data distribution is symmetric.

Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.

Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

Learn more about Symmetric Data Distribution on:

https://brainly.com/question/304810

solve the system of equations 2y - 3x = -27 5y + 3x = 6 PLEASE EXPLAIN STEPS!
(photo included)

Answers

Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7

Please I need help
Will give brainlest answer !!!!!!

Answers

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet

   2. t = 2

f(2) = -16(2)² + 16(2) + 12 = -20 feet

⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet

⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]

Taking f(x) = 0 [surface of water → just touching/hit the water]

0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds

⇒ After 1 second, she is 12 feet above the water

⇒ The diving board is 12 feet above the water

Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points

Answers

Apply Pythagorean theorem

H²=9²+5²H²=81+25H²=106

So

x²=106+4²x²=106+16x²=122x=√122x=11.04≈11

Answer:

√(122)

Step-by-step explanation:

Pythagoras Theorem:  a² + b² = c²

(where a and be are the legs, and c is the hypotenuse, of a right triangle)

First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:

⇒ 5² + 9² = c²

⇒ 25 + 81 = c²

⇒ c² = 106

⇒ c = √(106)

Therefore √(106) is the longest leg of the other triangle.

So we can now use this measurement to find x (the hypotenuse) of the other triangle:

⇒ 4² + √(106)² = c²

⇒ 16+ 106 = c²

⇒ c² = 122

⇒ c = √(122)


what is the perimeter ?

Answers

Step-by-step explanation:

the outer left side is also 50 ft.

in inner (upper) left side is also 13 ft.

the bottom line is 10+20+11 = 41 ft

this is all possible because all the angles are clearly right angles (90°).

so, the perimeter is

2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft

: the mass of an average classroom meter stick is roughly 0. 2 kg.

the mass of the moon is approximately 7*1022 kg.

question 1: how many meter sticks does it take to equal the mass of the moon? explain or show your reasoning

Answers

Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:

One meter stick - 0.2 kg

x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]

Applying cross multiplication:

[tex]0.2x = 7 \times 10^{22}[/tex]

[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]

[tex]x = 35 \times 10^{22}[/tex]

[tex]x = 3.5 \times 10^{23}[/tex]

It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

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

help me with this please

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

-15/-3,-5/-1

Step-by-step explanation:

please mark me as brainlest

Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth

Answers

The cup holds the most ice cream

Rewrite each expression below using the Distributive Property :

a. 5 (2x + 1)

b. 34 (x - 1)

c. 9 (x + 3)

Answers

a. 10x+6

b. 34x-34

c. 9x+27

Please help i am confused

Answers

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall

Answers

Answer:

4 dollars per friend

Step-by-step explanation:

So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48

48 is how much the 4 friends paid

If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend

I NEED HELP ASAP!!!!!!!!!!!!!!!

Answers

Answer:

The one on the very top left corner is the right one.

Step-by-step explanation:

It shows the exact data that you were looking for: ten small apples were green and 3 out of the 12 large apples were red.

R Given:07F = FRY: RFY: LFY

Prove: AFRY:ΔFLY

STATEMENT REASON

YLF =FRY. 23.

RFY=LFY. GIVEN

FY=FY(underlined) 24.

ΔFRY=ΔFLY. 25.​

Answers

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

What is the AAS Congruence Theorem?

The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.

To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

Learn more about the AAS Theorem on:

https://brainly.com/question/4460411

Pls help me: A couple plans to have 4 children. The gender of each child is equally likely. Design a simulation involving 90 trials that you can use to model the genders of the children, you do not need to generate the numbers or find the probability, just explain how your simulation would work. You should include information like how many digits long each number is, which digits represent a boy child and which digits represent a girl. also show the step by step of how to ans this.

Answers

The simulation of the gender of a child by the couple is an illustration of probability.

How to design a simulation?

The number of trials (n) is given as:

n = 90

The chance of getting each gender is equal.

So, we have:

P(Boy) = 0.5

P(Girl) = 0.5

The simulation would be based on numbers 0 to 9. Such that:

The numbers 0 to 4 represent a boy childThe numbers 5 to 9 represent a girl child

Notice that each gender have the same amount of digits i.e. 5

This is so because they both have equal chance

Read more about probability at:

brainly.com/question/251701

who ever can help ill give brainlist

Answers

Answer: 2/10. 2/10 is equal to 20 and 8/100 is equal to 8.

Answer:

?=2

Step-by-step explanation:

1. Solve

?/10+8/100=28/100

?/10+8/100-8/100=28/100-8/100

?/10=20/100

2. Simplify

20/100=2/10

so, ?/10=2/10

3. Check

2/10+8/100=28/100

20/100+8/100=28/100

28/100=28/100

Correct !

4. Answer

what percent of 32 is 5.6

Answers

Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

Sharon is preparing for a trip to kuwait. she calculates that she will need $1,166 to be converted to kuwaiti dinar. if the exchange rate of us dollars to kuwaiti dinar is 1:0.2879, how many dinar does sharon have? round your answer to two decimal places. a. 335.69 dinar b. 405.00 dinar c. 3,356.91 dinar d. 4,050.02 dinar

Answers

Answer:

335.69

Step-by-step explanation:

If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.

$1,166 x 0.2879 = 335.6914

335.6914 rounded to the nearest hundredth (two decimal places) is 335.69

So, it is A, 335.69 dinar.

335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

What is the ratio?

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.

We have a total amount that will need to convert = $1,166

Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879

It means $1 converted into 0.2879 dinar

The amount $1,166 in kuwaiti dinar = 1166×0.2879

= 335.69 dinar

Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

Learn more about the ratio here:

brainly.com/question/13419413

Plssss help me with this!!!! It’s really hard

Answers

Answer:

2x < 10 would show that even 'if' x would make 2 larger, it still wouldn't match up to 10. But in this case, 2 would turn into 10. 10 = 10.


polar & rectangular equations

Answers

Answer:

13.  [tex]x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]

14.  [tex]r=3\cos(\theta)-2\sin(\theta)[/tex]

Step-by-step explanation:

Question 13

Conversion from Polar equation to rectangular equation:

[tex]x=r \cos(\theta) \implies \cos(\theta)=\dfrac{x}{r}[/tex]

[tex]y=r \sin(\theta) \implies \sin(\theta)=\dfrac{y}{r}[/tex]

[tex]x^2+y^2=r^2 \implies r=\sqrt{x^2+y^2}[/tex]

Given:

[tex]r=3-2\cos(\theta)[/tex]

[tex]\textsf{Substitute }\cos(\theta)=\dfrac{x}{r}:[/tex]

[tex]\implies r=3-\dfrac{2x}{r}[/tex]

Multiply both sides by r:

[tex]\implies r^2=3r-2x[/tex]

[tex]\implies r^2+2x-3r=0[/tex]

[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }r=\sqrt{x^2+y^2}:[/tex]

[tex]\implies x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]

---------------------------------------------------------------------------------------------

Question 14

Conversion from Rectangular equation to polar equation:

[tex]x=r \cos(\theta)[/tex]

[tex]y=r \sin(\theta)[/tex]

[tex]x^2+y^2=r^2 \implies r^2\cos^2(\theta)+r^2\sin^2(\theta)=r^2[/tex]

Given:

[tex]x^2+y^2-3x+2y=0[/tex]

[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }x=r \cos(\theta)\:\textsf{and }y=r \sin(\theta):[/tex]

[tex]\implies r^2-3r\cos(\theta)+2r\sin(\theta)=0[/tex]

Factor out common term r:

[tex]\implies r(r-3\cos(\theta)+2\sin(\theta))=0[/tex]

Divide both sides by r:

[tex]\implies r-3\cos(\theta)+2\sin(\theta)=0[/tex]

Rewrite to make r the subject:

[tex]\implies r=3\cos(\theta)-2\sin(\theta)[/tex]

The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?

Answers

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22

Other Questions
I need help with this problem in math I dont know how to find the y but I know how to get the slope can someone teach me Based on the figure, a decrease in _________ could cause the economy to move from point a to point b Daniel has read 70% of a book. He has 24 more pages to finish. How many pages are there in the book? K(-3, 0), I(0, 2), and T(3, 0) are three vertices of a kite. Which point could be the fourth vertex? Find the 7th term of the geometric progession which begins 2, -6, 18 The heart is a cone-shaped muscular organ located within the. Read the following sentence:Janette lost her gymnastics scholarship after she developed vertigo and kept falling off the balance beam.What does "vertigo" mean as it is used in this reading? Use this dictionary entry to help answer the question:vert- (prefix) turna wood allergyO a weakness in the kneesO a fear of heightsO a dizzy, spinning sensation the sum of 3x and 1 is greater than-5 and less than or equal to 10 Which of the following topics are specific and focused?- Results of Operation Iraqi Freedom- Benefits of a personal quiet time- Advantages of learning a second language- The importance of healthy habits(you can choose more than one) Please Help me (I'll give brainlest) (LIMITED) In "Excerpt from Baby Mammoth Mummy: Frozen in Time!" and "Excerpt from Discovering the Inca Ice Maiden: My Adventures on Ampato," what challenges did the discoverers face? How did these challenges affect their decisions about what to do with the mummies? Which statement best descibes the overall message conveyed in this political cartoon? Climate change is something the Earth can predict. The future effects of global climate change could be devastating if we do not address it. Climate change will affect our weather patterns in the future. The future effects of global climate change will not be seen for hundreds of years. What is a health post? Why is it important? How did the Supreme Court ruling affect the Cherokees?They were given control of their land, so they stayed.They did not care about courts of the whites.They were confident the court could stand up to the president.They were still removed by the government. she says, " i have finished my work today." What do you do to an irregular verb to put it in the past tense?AMake it possessive.BChange the spelling.CChange the quantity.DChange the meaning. how does henry exercise his power in chapter four of lord of the flies a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot Read the following paragraph and answer the question that follows Which choices are in the solution set of the equation below? Check all thatapply.4x = 30A. 8B. 7.5C. 8.5D. 7E.6.5