a woman decides to purchase a $23,800 car and makes a down payment of $3,500. she arranges to borrow the remainder from a bank that will charge her 4.5% interest. she will make monthly payments for 4 years. a. find her monthly payment amount.

Answers

Answer 1

The monthly payment amount a woman has to pay for the car is $462.91.

Here we have to find the monthly payment amount.

The cost of car = $23,800

Down payment = $3,500

Rate(r) = 4.5%

time(t) = 4 years

Periodic interest(i) = 0.045/12

Formula to calculate monthly payment:

A = P i( 1 + i[tex])^{n}[/tex] / ( 1 + i[tex])^{n}[/tex] - 1

Loan amount = 23800 - 3500

                      = $ 20300

A = 20300 ( 0.045 /12 ( 1 + 0.045/12[tex])^{48}[/tex])/ (1 + 0.045/12[tex])^{48}[/tex] - 1

  = 20300× 0.004488 / 0.196814

  = 462.91

Therefore the monthly payment is $462.91.

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Related Questions

this exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 5????/11 rad is 15 m2. find the radius of the circle. (round your answer to one decimal place.) 4.5 incorrect: your answer is incorrect. m

Answers

A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.

What is sector?

The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Here,

area of sector=θ/360°*πr²

θ=5/11*180/π

θ=26.04 degree

area=15 m²

15=26.04/360*3.14*r²

15=0.227r²

r²=66.08 m²

r=8.13 m

The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.

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how many ways are there to seat n couples around a circular table such that no couple sits next to each other?

Answers

2n(n−1)!  ways n couples around a circular table such that no couple sits next to each other.

What is combination?

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant."Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Depends on how you consider two ways as different ways.

If the seats are in fixed positions, then there are two possible seatings as the couple can swap with each other. In this case, choose a seat as reference. Swapping is available in each couple or between couples, on seat 0 and 2N sit one couple or different couples. So the answer is 2n+1n!If you consider seats as all same, pick a couple as reference. Still, husband can sit either on clockwise of his wife or counterclockwise. The remaining n−1 couples can choose their seats at will. In this case the answer is 2n(n−1)! when n>1. When n=1 there’s only 1 since the relative position becomes unimportant in this case.

In case you still feel confused, take 2 for example. We have plan AaBb, AabB, aABb and aAbB

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Use the number line to represent the solution to 2.4x−6>−13.2.

Answers

The required solution of the given inequality is given as x > -3.

Given that,
To determine the solution of the given inequality, 2.4x−6>−13.2.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
2.4x−6>−13.2.
2.4x > -7
x > -3

Thus, the required solution of the given inequality is given as x > -3.

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Solve the equation or formula for the indicated Variable. explain answer please a=4b^5h, for h

Answers

Answer: The correct answer is h=a/4b^5

Step-by-step explanation:

Solve for h

a=4b^5h

Flip the equation

4b^5h=a

Divide both sides by 4b^5

4b^5h/4b^5 = a/4b^5

h=a/4b^5

PLEASE HELP
For each table, determine whether it shows that x and y are proportional.
If x and y are proportional, fill in the blank with a number in simplest form.

Answers

1.not proportional

2.proportional:

Step-by-step explanation:

the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y

what are the major differences between a population that is experiencing logistic growth and one that is experiencing exponential growth?

Answers

If resources are unlimited, population will increase exponentially. A logistic growth happens as those resources are less readily available.

Explain the term logistic growth and exponential growth?

Exponential Growth:

The term "exponential growth" describes a population's expansion through time at a pace that is directly proportionate to its size. The population's size is influenced by both the birth and death rates. When there are plenty of resources for everyone in the population, exponential expansion happens. When the number of objects is plotted against time, it yields a J-shaped curve.

Logistic Growth:

A population growth known as logistic growth is a group of people whose rate of growth reduces as the number of individuals increases and becomes zero whenever the population reaches its maximum.People in the population compete for resources so when food supply and available space are limited.

Thus, there are several key distinctions between populations growing logistically and those growing exponentially.

If resources are unlimited, population will increase exponentially. A logistic growth happens as those commodities become less widely available.

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a child finds a stack of old magazines in the basement and picks one out at random. find the probability that the magazine is a sports magazine if the pile consists of 25 sports magazines, 11 news magazines, and 2 travel magazines. (round your answer to three decimal places.)

Answers

The probability of the magazine is a sports magazine is 0.065.

What do you mean by probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

According to data in the given question,

We have the given information:

The number of sports magazines = 25

The number of news magazines = 11

The number of travel magazines = 2

Now, we will calculate the probability of the magazine is a sports magazine,

Total number of magazine = 25+11+2 = 38

To find the probability that the random selected magazine is a sports magazine divide the amount of sports magazines by the total amount of magazines:

P( sports magazine ) = Number of sports magazine/Total number of magazine

[tex]=\frac{25}{38}\\ =0.065[/tex]

Therefore, the required probability is 0.065.

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If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
10,000n(x/100)
The reasoning is from the following:The formula for simple rate of interest is F = P(1+rt) whereF = future valueP = present valuer = ratet = time

Answers

If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)

What is simple interest?

Simple interest is calculated based on the principle of a loan or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

F = P(1+rt), formula for simple rate of interest

Here,

=> Future value is F

=> Present value is P

=> Rate is R

=> Time is t

Substituting x for r

And, n for t

Also, 10,000 in for P

F = 10,000(1+xn)

The formula tells us principal + interest,

F = 10,000(xn)

Now, to get the x into terms of a percentage,

F = 10,000(n * x/100)

F = 10,000n(x/100)

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Complete the equation so that it has the solution c=4
5(2c −
) =2(c+11)

Answers

Answer:

Step-by-step explanation:

c=45(2c−)=2(c+11)

We can't solve that type of equation or it may contain an error

is your problem in complete?

A coat is marked down by 10% and the customer is given a second discount of 25% what is the sales price

Answers

The sales price of the coat is 67.5% of the original price

How to determine the sales price of the coat ?

From the question, we have the following parameters that can be used in our computation:

Markdown rate = 10%

Second discount = 25%

The retail price of the coat can be calculated using the following equation

Retail price = original price * (1 - Markdown rate) * (1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Retail price = original price * (1 - 10%) * (1 - 25%)

Evaluate the products

Retail price = original price * 0.675

Rewrite as

Retail price = 67.5% of the original price

Hence, the sales price is 67.5% of the original price

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Word problem for 2 divided by 1/4

Answers

Answer:

8

Step-by-step explanation:

2 : 1/4

2 x 4/1

2 x 4

8

Find the volume of a right circular cone that ha a height of 16. 4 in and a bae with a radiu of 20 in

Answers

Answer: V=πr2h

3

Step-by-step explanation: Your spelling is a bit off

167. for the training adaptation of maximum strength, what is the recommended number of repetitions per set?

Answers

Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

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Given: < 2. Choose the solution set. {x | x < 10/11} {x | x > 10/11} {x | x > 22/5} {x | x < 22/5}.

Answers

The solution set is {x | x < [tex]\frac{22}{5}[/tex]}.of the given evaluation.

What is a Solution Set?

The solution set of an equation is, however defined as the set of all solutions that satisfy the equation and since that set has no members the solution set is empty.

Given:  [tex]\frac{5x}{11}[/tex][tex]< 2[/tex]

         = [tex]5x < 22[/tex]

         = [tex]x < \frac{22}{5}[/tex]

Hence, the correct solution set is {x | x < [tex]\frac{22}{5}[/tex]}.

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Is this how you do it?

Answers

Yes, the answer is correct

a grandfather, two fathers and two sons bought passage for a voyage together and everyone paid for one berth each. how many berths did they buy in total?

Answers

Grandfather, two fathers and two sons purchased a total of three tickets.

What is a Mathmatical riddle?

Children must convert a few lines from a real-life incident into the appropriate set of mathematical equations in order to solve a math mystery. Mathematical riddles can be cracked by kids utilizing logic, inventive problem-solving, and common sense.

All three tickets:

Grandfather and His Son's Father

Father and his father's son.

Son.

Two fathers and two sons, then.

As a result, a total of 3 tickets were purchased by a grandfather, two fathers and two sons.

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A number cube is rolled. What is the probability that a number greater than 4 will be rolled?

Answers

Answer:

Below

Step-by-step explanation:

six possible rolls    1  2  3  4  5  6     only two are > 4     ( 5 and 6)

  2 out of 6 = 1/3 chance

Answer: A one out of six chance for the number four to be rolled.

Step-by-step explanation:

you have a box with a square base and no top. the surface area of the box is 220 ????????????????2. find the maximum volume.

Answers

The required maximum volume of the box would be 85184 cube units.

The surface area of a box is the total area of all of the box's faces. For a box with a square base and no top, the surface area is equal to the sum of the areas of the four sides and the bottom.

To find the maximum volume of such a box, we can first find the length of one side of the square base. We can do this by dividing the given surface area by the number of sides of the box.

In this case, the box has 4 sides plus the bottom, so the length of one side is 220 / 5 = 44.

We can now use the length of one side to find the maximum volume of the box. The volume of a box with a square base and no top is equal to the length of one side cubed.

The length of one side is 44, so the maximum volume of the box is :

⇒ 44 × 44 × 44  = 85184.

Therefore, the maximum volume of the box is 85184 cube units.

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PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5.0 STAR RATING

Answers

Answer:

Step-by-step explanation: 347000 * 6.5% * 20%= 347000*0.065*0.2=4511

Answer is 4511

Answer:

$4,511

the agency makes 6.5% of 347000 which is 22,555 and the agent makes 20 percent of what the agency makes.

so 20% of 22,555 is 4511

Simplify the rational expression. State any excluded values. x^2-64/16x-2x^2

Answers

Answer:

The answer is -x^2-4x

Step-by-step explanation:

U have to estimate!!!!!!!!!! Please help now asap

Answers

If estimating to the nearest whole number is what you’re looking for, then it’s 260(259.56)

How long will the air in the tank last at this rate

Answers

Answer:

60 minutes. (1 hour)

Step-by-step explanation:

An average recreational tank containing 200 bars or 12 L of air should last you for 60 minutes. However, several factors come into play while determining the lifespan of a scuba air cylinder. The amount of air that a diver needs depends on their air consumption rate, which in turn is based on their physical exertion level.

Answer: you have to say at what rate. we cant answer this question. there is  part of this question that is missing.

In investment of $1800 in the stock market are $278 in two years find the simple interest rate

Answers

The interest rate is -42.3%, where the negative sign indicates depreciation.

What is the interest rate?

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

Given that, the investment of $1800 in the stock market is $278 in two years.

Therefore, the amount depreciated is:

278 - 1800

= -1522

Since 1522 is depreciated in 2 years, the amount depreciated in one year is:
1522/2

= 761

The rate at which the amount depreciated is:

(761/1800)×100%

= 42.3%

Hence, the interest rate is -42.3%, where the negative sign indicates depreciation.

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Which of the following is located 2/3 the distance from the vertex?

Circumcenter
Incenter
Centroid
Orthocenter

Answers

Answer:centroid

Step-by-step explanation:

Answer:Centroid I hope this helpful to you mark me brainlist if correct

Step-by-step explanation:

Hence, the correct statement is "The Centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side."The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangleCentroid theorem: the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. That is, the distance from the centroid to each vertex is 2/3 the length of each median. This is true for every triangleThe centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).

an instructor has given a short quiz consisting of two parts. for a randomly selected student, let and . suppose that the joint pmf of and is given in the accompanying table.

Answers

Random variable

a. E (X+ Y) = 14.10

   E|(X – Y)| = 5.1

b. E[max(X ,Y )] = 9.60

   E[min(x, y)] = 4.5

Conversely, once Y=y is observed, we would more likely be interested in the quantity E(X∣Y=y)=ρy which is a scalar.

Maybe this seems like needless complication, but regarding E(X∣Y) as a random variable in its own right is what makes things like the tower-law E(X)=E[E(X∣Y)] make sense - the thing on the inside of the braces is random, so we can ask what its expectation is, whereas there is nothing random about E(X∣Y=y).

a. E (X+ Y)

=∑∑( x +y)p(x ,y)

= (0+0)(0+2) + (0 + 5)(.06) + … + (10 + 15)(.01)

= 14.10

E|(X – Y)| = ∑∑ |x – y| p(x,y)

= |(0-0)|(0.02) + |(0-5)|(0.06) + ……+ |(10-15)|(0.01)

= 5.1

b.

E[max(X ,Y )] = ∑∑max(x+y).p (x ,y)

= (0)(.02) + (5)(.06) +…+(15)(.01)

= 9.60

E[min(x, y)] = ∑∑ min (x,y) p(x,y)

= 0(0.02) + 0(0.06) + ……+ 10(0.14) + 10(0.01)

= 4.5

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Evaluate each general power function at the indicated values.

1.

f(x) = x^n, where n is even

f(1) = ?

f(-1) = ?

2.

g(x) = x^n, where n is odd

g(1) = ?

g(-1) = ? ​

Answers

Step-by-step explanation:

remember, an exponent n just means that the base is multiplied by itself n times.

so, e.g.

a³ = a×a×a = (a×a)×a

a⁶ = a×a×a×a×a×a = (a×a)×(a×a)×(a×a)

as you can see, any even exponent can be written as products of squares.

and any odd (uneven) exponent can be written as product of squares multiplied by one base.

a square of a real number is always positive. therefore, an even exponent of a real number is always positive.

and an odd exponent has the sign of the base (as the result of these multiplications is the product of the squares, that are always positive and one instant of the base, and +×+ = +, +×- = -).

and 1^n = 1

no matter how often I multiply 1 by 1, I get 1 as result.

also : -×- = +

1.

f(x) = x^n, n is even

f(1) = 1^n = (1×1)×(1×1)×...×(1×1) = 1×1×1×...×1 = 1

f(-1) = (-1)^n = (-1×-1)×(-1×-1)×...×(-1×-1) = 1×1×1×...×1 = 1

2.

g(x) = x^n, n is odd

g(1) = (1×1)×(1×1)×...(1×1)×1 = 1×1×1×...×1×1 = 1

g(-1) = (-1×-1)×...×(-1×-1)×-1 = 1×1×...×1×-1 = -1

50 POINTS! PLEASE HURRY!
f(x) = x2. What is g(x)?

Answers

Answer:  g(x) = -x^2 -3

Step-by-step explanation:

We know that the y-intercept is -3, so we can eliminate the first 2 answers. For the last two answers, c is wrong because it is a negative slope and if we square root it, it will become a positive slope our graph slope is not positive, so the answer is d.

△abc is similar to △lmn. also, angle b measures 35° and angle c measures 95°. what is the measure of angle l? enter your answer in the box. the measure of angle l = °

Answers

The measure of the angle I= is 50 degree

What is an example of geometry?

A triangle has three sides and a total interior angle of 180 degrees. Four-sided shapes like a square, rectangle, or quadrilateral have a total interior angle of 360 degrees. Other polygons have different angles and different numbers of sides, such as the pentagon, hexagon, heptagon, and octagon.

Is geometry easier than algebra?

Compared to algebra, geometry requires less math, and the math that is needed is simpler. Geometry, on the other hand, necessitates the memorization of numerous rules and formulas, which for some students can be more challenging than fundamental algebra. Ask your teacher for assistance if you need it in a math class.

The ratio of the respective sides is proportional when two triangles are comparable to one another.

Additionally, the corresponding angles coincide.

Given in this case are B= 35° and C= 95°

the angle sum property now

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

130 is subtracted from both sides, giving us

A = 180 - 130

A = 50°.

Now

ABC and LMN

Consequently, in terms of similarity

A = L

But A = 50°.

Thus, L = 50°.

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In the figure to the right, it AC=22 and BC=19, what is the radius?

Answers

Would love to help however I think we need the figure? Do you have a photo?

what is the probability that someone who tests negative does not have the disease? (enter the value of the probability in decimal format and round the final answer to three decimal places.)

Answers

The probability that someone who tests negative does not have the disease is 0.8451

Given that,

The information shows the outcomes of a test for a specific illness. Assume a member of the group is chosen at random.

From given data table,

N = 144+ 22 + 14+ 120 = 300

n(not disease) = 22 + 120 = 142

n( negative And not disease) = 120

P( Not disease) = 142/300

P( Negative and not disease) = 120/300

Therefore,

P(Negative/ not ..disease) =[tex]\frac{P(Negative and not,.disease)}{P(Not ,.disease)}[/tex]

                                                                 =[tex]\frac{120/300}{142/300}[/tex]

                                                                  =[tex]\frac{120}{142}[/tex]

                                                                   =0.8451

Hence, The probability approximately is 0.8451

Hence, the probability that someone who tests negative does not have the disease is 0.8451

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explain why an amicus curiae brief filed by an intererst group might help the supreem court in making a decsion in a reaction that involves more than one step, the step that has the energy transition state is the slowest step. this step has the greatest effect on the overall reaction rate and is called the rate- step of the reaction. 30+ w =150 what does w equal? What is the surface of a rectangular prism with the length of 5 cm, width of 4 cm and height of 2 cm? solve 3x+1=-5 by graphing. then find the x- and y-intercepts how much does a basket of apples weigh you have accepted a loan in the amount of $15,000 for your new car. you have agreed to pay the loan back in four years. what is your monthly payment if you agree to pay an interest rate of 9% compounding monthly? solve this problem for i The variables a, b, c, and d are graphed on the number line shown.Use the number you answer the questions in the chart which concept is most important for a nurse to communicate to a client preparing to sign an informed consent for electroconvulsive therapy (ect)? would some consumers be willing to accept some risk from using a product if it means the product is cheaper? why? Use point-slope form to write the equation of a line that passes through the point (1,-3)(1,3) with slope -\frac{5}{3} 35 . Gretchen is preparing a sales presentation for the executive team. Whatorganizational structure is she MOST likely to use?Okeynotemyth-bustertheme by themeproblem to solution when was the declaration of independence signed, before or after the war? Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years? What impact did the battle of bunker hill among the colonists? a molecule binds and blocks a potassium channel in a plant cell membrane. what would be its effects? consider the $400,000 estimated salvage value. is it appropriate to discount it at the same rate as the other cash flows? what about the other cash flows - are they all equally risky? explain how glomerular hydrostatic pressure and glomerular colloid osmotic pressure act as opposing forces during glomerular filtration. Add.(7v4)+(4v3v28v5) During 2018, Noriko paid the following taxes related to her home:Real Estate property taxes on residence (paid from escrow account)$ 1,800State personal property tax on her automobile (based on value)600Property taxes on land held for long-term appreciation 400What amount can Noriko deduct as property taxes in calculating itemized deductions, assuming she was under the $10,000 limit for state and local taxes, for 2018?$400.$1,000.$2,400.$2,800.$2,800.$1,800 + $600 +$400 = $2,800As the state personal property tax was based on the value of her vehicle, it is a tax and not a fee, and is allowable as a deduction. The Tax Cuts and Jobs Act (TCJA) of 2017 limited the deduction for income, real estate and other state and local taxes. Beginning in 2018, the limitation for the deductibility of all state and local taxes is $10,000 ($5,000 for MFS).