A woman borrows $6,000 at 9% compounded monthly, which is to be amortized over 3 years in equal monthly payments. for tax purposes, she needs to know the amount of interest paid during each year of the loan. find the interest paid during the first year, the second year, and the third year of the loan. [hint: find the unpaid balance after 12 payments and after 24 payments.

Answers

Answer 1
434.37 per year. 1,303.11 total interest

Related Questions

Use graph paper to draw the figure. The set of points (2, 3), (9, 3), (9, –2), and (2, –2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
A) Parallelogram
B) Square
C) Rectangle
D) Trapezoid

Answers

it's for sure not a parallelogram and it's not a trapezoid it's either going to be a square a rectangle I'm drawing it on paper I'm going to go with a square

For each of the following determine the 1-unit growth factor.

The 1-unit percent change is -56.25%.

Please help explain so I can figure one out and do the rest on my own. Thanks!

Answers

A 1-unit growth factor with a -56.25% change means the quantity decreases by 43.75% when it decreases by 1 unit, resulting in a factor of 0.4375.

The 1-unit growth factor represents the factor by which a quantity changes when it increases by 1 unit.

A 1-unit percent change of -56.25%. A negative percent change indicates a decrease rather than an increase.

To find the 1-unit growth factor when the percent change is -56.25%,

use the formula:

Growth Factor = Final value / Initial value

let's assume the initial value is "I" and the final value is "F."

The percent change of -56.25% means that the final value is 56.25% less than the initial value, or 43.75% of the initial value remains:

F = I - 0.5625I

  = 0.4375I

Now, calculate the growth factor:

Growth Factor

= Final value / Initial value

= F /I

= 0.4375I /I

=0.4375

Therefore, the 1-unit growth factor when the percent change is -56.25% is 0.4375, which indicates a decrease of 43.75% when the quantity decreases by 1 unit.

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What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3

Answers

The answer would be 2.16.

This is because the two negatives would cancel each other out when multiplying. This would basically make the question [tex]0.9*2.4[/tex].
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16

Two negatives terms multiplied together make a positive, so the product of (–0.9)(–2.4) will be equal to 2.16

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE know that Two negatives multiplied together make a positive, so the two negatives would cancel each other out when multiplying. This would basically make the solution.

WE have to find the product of (–0.9)(–2.4)

it’s simply (–0.9) x (–2.4) = 2.16

Now from the first option 3.3 is definitely not less than 2.4, so the answer would be positive 2.16

Hence,  the product of (–0.9)(–2.4) will be equal to 2.16

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Money off coupons have been circulated to 300 households. Only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. What fraction of coupons were unused?
(PS: Please write how you go the answer)

Answers

If 2/5 of them were used,

1 - 2/5 = 3/5

3/5 of them were not used.

Suppose that in 2005, 894,700 citizens died of a certain disease. Assuming the population of the country us 302 million, what was the mortality rate in units of deaths per 100,000 people?

Answers

[tex]\bf \begin{array}{ccll} population&dead\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 302,000,000&894,700\\\\ 100,000&d \end{array}\implies \cfrac{302,000,000}{100,000}=\cfrac{894,700}{d} \\\\\\ d=\cfrac{100,000\cdot 894,700}{302,000,000}[/tex]

If Sandy can afford car payments of ​$260 per month for 3 ​years, what is the price of a car that she can afford​ now? Assume an interest rate of 7.8 percent.

Answers

To get the type of car that Sandy can afford after 3 years, we find the future annuity of the his yearly deposits.
amount deposited  by Sandy in a month is $260
amount deposited per year=260*12=$3120
time=3years
rate=7.8%

Fv of annuity= P[(1+r)^n-1]/r
substituting our values we get
Fv=3120[(1+0,078)^3-1]/0.078
=10109.06208
The value of a car he can drive is $10109.06208

solve the inequality 2× - 5 > 7

Answers

2x - 5 > 7
add 5 to both sides
2x -5 + 5 > 7 + 5

2x > 12
divide both sides by 2
2x/2 > 12/2

two over two equals one so it "cancels out"

x > 6


ANSWER: x > 6

Hope this helps! :)

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object?

A.60 square inches
B.66 square inches
C.63 square inches
D.56 square inches

Answers

8*9 = 72 
u *v = 3 *4 = 12
72-12 = 60

3 *2 = 6/2 = 3

60 +3 =  63

Answer is C

The area of the object will be 63 square inches. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches.

All the dimensions are shown in the figure.

Then the area of the geometry is the combination of two rectangle and one triangle.

Area = area of rectangle 1 + area of rectangle 2 + area of triangle 3

Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2

Area = 40 + 20 + 3

Area = 63 square inches

Then the correct option is C.

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Dennis surveyed 30 students to determine their favorite fall sports. Of the students surveyed, 15 preferred football, 6 preferred soccer, and the rest preferred volleyball. Which is a correct statement about the results from the survey?

Answers

Are the options to choose from? That is what it seems like.
Of the students surveyed, 30% preferred volleyball. 

Need the steps to get the answer 0.264 that is on my answer key textbook

Answers

Realize "%" means "/100".
  26 2/5% = 26.4% = 26.4/100 = 264/1000 = 0.264

The length of a garden is 5m greater than the width. the area is 66m^2. Find the dimensions of the garden.

Answers

w^2+5w-66=0 
Factor 
(w+11)(w-6)=0 

w+11=0 
w=-11 (not possible - cant have negative length 

w-6=0 
w=6 

L(6)=66 
L=11 

Width = 6 
Length = 11

if the height of a rectangular prism is doubled then the surface area of the prism is and I need work to and can you please help me and thank you

Answers

Only the part of the surface area affected by the height is doubled. The end area remains the same. Overall, the area increases, but is not quite doubled.

Selection C is appropriate.

Greek architects considered a rectangle whose length was approximately 1.6 times its width to be the most visually appealing. find the length and width of a rectangle constructed in this manner if the sum of the length and width is 130ft

Answers

Final answer:

The length and width of the rectangle constructed in this manner are approximately 64ft and 40ft respectively.

Explanation:

To find the length and width of a rectangle constructed in this manner, we can use the given information that the length is approximately 1.6 times the width and the sum of the length and width is 130ft.

Let's say the width is represented by 'w', then the length would be approximately 1.6w.

Based on the given conditions, we can write an equation: w + 1.6w = 130ft. Solving this equation, we get w = 40ft and the length is approximately 64ft.

how many students were reading during study time?

Answers

I think that 10 students were reading during study time.

what is the area of this

Answers

The total area of the figure, calculated by summing the areas of three rectangles, is 81 square yards.

The figure in the image is composed of three rectangles. To find the total area, we calculate the area of each rectangle and then sum them up.

The first rectangle has a length of 13 yards and a width of 5 yards. Using the formula for the area of a rectangle, which is length times width, we get an area of 13 yd * 5 yd = 65 square yards.

The second rectangle extends upwards with a length of 2 yards and a width of 5 yards. Its area is 2 yd * 5 yd = 10 square yards.

The third rectangle extends to the right with dimensions of 2 yd by 3 yd. Its area is 2 yd * 3 yd = 6 square yards.

Adding these areas together, we get a total area of 65 sq yd + 10 sq yd + 6 sq yd = 81 square yards.

The question probable may be:

Find the area of the figure. (sides meet at right angles.)

The area of the piecewise rectangular figure is 59 square yards.

How the area is determined:

The first rectangle:

Length = 13 yards

Width = 5 yards

Area of the first rectangle = 65 square yards (13 x 5)

The second rectangle:

Length =  13 yards

Width = 2 yards

Area of the second rectangle = 6 square yards (3 x 2)

Since the second rectangle reduces the first rectangle, we subtract:

Area of the piecewise rectangle = 59 square yards (65 - 6)

Thus, we can conclude that the area of the piecewise rectangular figure is 59 square yards.

the binomial expansion of (x-2y)^3 is ____.

A. x^3-x^2y+12xy^2-8y^3
B. x^3-3x^2y+3xy^2-y^3
C. x^3-3x^2y+3xy^2+y^3
D. 2^3(x^3-3x^2y+3xy^2-y^3)

Answers

I think the right answer is x`3 - 6x`2y + 12xy`2 - 8y`3 but its not here tho

A= x^3−6x^2y+12xy^2−8y^3

A drawbridge in Jacksonville, FL, allows an average of 22 boats per day to pass. What does the point (4,88) on the graph mean in this situation?

Answers

The point (4,88) on the graph means that after 4 days, 88 boats will have passed under the bridge. (Third answer choice).

Answer: This shows, 'After 4 days, 88 boats will have passed under the bridge'.

Explanation:

Since, According to the question, Jacksonville allows an average of 22 boats per day to pass.

Thus we can say that number of boats is dependent on days and both are varying.

And, a function is the type of y=f(x), where x is independent variable while y is dependent variable.

So, we can take x for representing number of days and y for representing number of boats.

Thus, according to the question,  y= 22x.

if we take 4 days i.e. x=4 then y=22×4=88

It takes 4 days for an average of 88 boats.

Which is showing by (4,88) on the given graph.

The sum of 4 consecutive odd numbers is 40. What is the 2nd number in this sequence?

Answers

Try this option (it is not the only way):
1. if to use for consecutive odd numbers: n; n+2; n+4 and n+6), then it is possible to write their sum in equation: n+n+2+n+4+n+6=40.
2. if to solve this equation: n=7 it means that 7 - the 1st number of the given sequence.
Using n=7 the 2d number of this sequence is n+2=9.

answer: 9.

Table Sasha wants to know her average grade on her math tests. She earned a score of 70 on two tests, an 80 on one test, and a 90 on two tests. What is Sasha’s mean score? 70 75 80 90 This question is for 79 points

Answers

you are missing another 70 it says 70 on 2 tests so it would be 70, 70, 80, 90  then add
the / means divide
(70 + 70 + 80 + 90) / 4 =  77.5

She scored 70in 2 tests, 80in one test and 90 in other two.
So mean score=(70+70+80+90+90)/5
Mean score=400/5= 80 marks

What is ∑n=18(3n−1) equal to? The top number is 8 bottom is n=1

Answers

[tex]\bf \sum\limits_{n=1}^{8}~3n-1\implies \sum\limits_{n=1}^{8}~3n-\sum\limits_{n=1}^{8}~1\implies 3\sum\limits_{n=1}^{8}~n-\sum\limits_{n=1}^{8}~1 \\\\\\ 3\left[ \cfrac{8(8+1)}{2} \right]~~-~~(8\cdot 1)\implies 3(36)~~-~~8\implies 108~-~8\implies 100[/tex]

The total value of the sum is 1800.

What is Addition?

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

The given is,

∑n=18(3n−1)

The top number is 8 and the bottom number is 1.

Finding the sum,

Sum = [18(3 - 1)] + [18(6 - 1)] + [18(9 - 1)] + [18(12 - 1)] + [18(15 - 1)] + [18(18 - 1)] + [18(21 - 1)] + [18(24 - 1)]

= 36 + 90 + 144 + 198 + 252 + 306 + 360 + 414

= 1800

Hence the value of the sum is 1800.

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3x+2y=6 and y=-3/2x+5

Answers

In order to solve for parallel, perpendicular, or neither, you have to look at the slope.

If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither. 

So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3      The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2

For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.

Since both slopes are -3/2, then you have parallel equations!

(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)

I hope this helps!! Please ask if you have more questions!

how do you write one half the difference of X and 4?

Answers

1/2(x - 4). Hope it helps! :)

You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 15 buns, 21 defrosted beef patties, and 17 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers:______ double cheeseburgers:_______ regular cheeseburgers:_______

Answers

To determine how many of each type of burger you should make with the leftovers, start with how many double cheeseburgers you could make. You could make 6 leaving you with 9 buns (15-9) 9 beef patties(21-12), and 5 cheese slices (17-12).

With the remaining items, you would make 5 cheeseburgers and 4 hamburgers if you want to use up the remaining items.

The goal here is to have the same number of buns and burger remaining after the double cheeseburgers.

Final answer:

To use the ingredients efficiently, the franchise should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger, effectively utilizing all available buns, beef patties, and cheese slices.

Explanation:

To solve the problem of how many plain burgers, double cheeseburgers, and regular cheeseburgers you should make, you need to consider the ingredients as your limiting factors. Starting with the resources available: 15 buns, 21 beef patties, and 17 cheese slices. The recipes are as follows: plain burgers require 1 beef patty and 1 bun; double cheeseburgers require 2 beef patties, 2 cheese slices, and 1 bun; regular cheeseburgers require 1 beef patty, 1 cheese slice, and 1 bun.

First, notice that the number of buns is the overall limiting factor for the maximum number of burgers you can make, which is 15.Second, consider maximizing the use of cheese slices by making as many double cheeseburgers as possible, which would be 8 (consuming 16 beef patties and 16 cheese slices, leaving 5 buns, 5 beef patties, and 1 cheese slice).With the leftovers, you can make 1 regular cheeseburger (using 1 more beef patty, 1 cheese slice, and 1 bun) and then 4 plain burgers with the remaining 4 beef patties and buns.

Therefore, you should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger to utilize the ingredients efficiently without waste.

The diameter of a circle is 6 yards. What is the circle's area? d=6 yd Use 3.14 for ​.

Answers

Answer: 28.26 square yards

Step-by-step explanation:

The diameter is twice the radius, so if the diameter is 6, the radius is 3.

[tex]A=\pi(3^{2})=9\pi \approx 9(3.14)=\boxed{28.26 \text{ yd}^{2}}[/tex]

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(-6,2) and T(5,2). what is the length of side RT of the polygon?

Answers

25 units first u go along the x axis then the y then you get ur answer
:))) day

Answer:

YoOoooo its 7 units

Step-by-step explanation:

Evaluate a) log^3 81 b) log^25 5

Answers

We evaluate the logs as follows:
a]
log_3 81
=log_3 (3^4)
=4 log_3 3
=4×1
=4

b]
log_5 25
=log_5 5²
=2log_5 5
=2×1
=2

Jake needs to put gas in the delivery van. Regular gasoline is $3.20 per gallon. He only had a $ 20 bill on him. How many gallons can he buy

Answers

Let's assume x = 20

Let's also assume that y = 3.20

is how much money he has and y is how much the cost is.

To find out how much he can buy, we would do x/y, or 20/3.20.

He can buy about 6.25 gallons.
.7854 mil i believe Im righ

What's the proper name of the quadrilateral below?

Answers

the proper name of the quadrilateral is called Parallelograms
ok so there are many quadrelaterals 

trapezoids have to have 1 parralel side

rhombuses have to have 2 pairs of parralel sides and so on

Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters

Answers

we know that

[perimeter of rectangle]=2*(length+width)

Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

the maximum area is given by a square

the answer is
is a square of side 61 m


Hello there!

Can I get some help? Don't forget to show your work :)

Thanks!

Answers

The correct answer is 0.0594 because when you use the scientific calculator, tan(3.4), you get 0.0594
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(1 point)Heterozygous individuals must be genetically advantaged even if they are not resistant to HIV.The mutated allele must have developed and been acquired by many people before exposure to the virus.The mutated allele must not be inherited by offspring or the disease would be close to eradication.Being homozygous is an advantage for the mutated allele, while being heterozygous is a genetic disadvantage.20. (03.07 MC) Some portion of the milk produced in the United States comes from cows treated with genetically manipulated hormones that increase a cow's milk production. This increased production helps farmers make a better return on their investment in each cow. What aspect of this biotechnology must be fully understood before the benefits can be justified? (1 point)Its effect on the cost of productionIts effect on other animals in the dairyIts effect on the offspring of the cowIts effect on consumers of the milk21. 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