Mathematics College

PLEASE HELP
Nestor is building a new swimming pool for ​$11,000. He makes a ​$1,000 down payment and the builder gives him an​ add-on loan, charging him an annual interest rate of 7.7​%. If he takes a 6​-year ​loan, what will​ Nestor's monthly payments​ be?

Answers

Answer 1
$11,000
-$1,000
_______
$10,000 * 7.7% = $700

$700/6 = $116.70 

Nestor's monthly payment will be roughly about $116.70

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Related Questions

what is the axis of symmetry for the graph of y-4x=7-x^2

Answers

as you may know, the axis of symmetry will be a coordinate off the vertex of the equation, so... 

[tex]\bf y-4x=7-x^2\implies y=7-x^2+4x\implies y=-x^2+4x+7 \\\\\\ \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llll} y = &{{ 1}}x^2&{{ +4}}x&{{ +7}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left(-\cfrac{4}{2(-1)}~~,~~7-\cfrac{4^2}{2(-1)} \right)\quad thus\implies \stackrel{\textit{axis of symmetry}}{x=~~~~-\cfrac{4}{2(-1)}}[/tex]

The endpoints of line segment AB are A (9,4) and B (5,-4). Then endpoints of its image after dilation are A' (6,3) and B' (5,-4). Find the scale factor and explain

Answers

To find our scale factor, let's determine the length of AB, and compare it to the length of A'B'.

The length of AB is the distance from (9,4) to (5,-4). 
Let's apply the distance formula:
AB = √ ((9-5)² + (4+4)²)
AB = √ (4² + 8²)
AB = √(16 + 64)
AB = √ (80)
AB = 4 √5
The length of AB is 4 √5.
Now for A'B':
A'B' = √ ((6-5)² + (3+4)²)
A'B' = √( 1 + 49)
A'B' = √ 50
A'B' = 5 √2
To find our scale factor k:
A'B' = k AB
5 √2 = 4 √5 * k Divide both sides by 4√5
5 √2 / (4 √5) = k                 To simplify, multiply the left side by (√5 / √5)
(5 *√5 * √2) / (4 *5) = k      the 5's in the numerator and denominator cancel
√5 * √2 / 4 = k                    
√10 / 4 = k

To confirm, make sure AB * k = A'B', using the values that we've calculated.

Answer:To find the image of B, first find the scale factor for the dilation. The scale factor should be greater than 1 because the image of A is farther from the origin than A. Divide the coordinates of the image of A by the coordinates of A: –6/–4 = 3/2 and 9/6 = 3/2, so the scale factor is 3/2. Now, apply the dilation to B by multiplying the coordinates by 3/2 to get ((3/2)(1), (3/2)(4)), or (3/2, 6).

Hope I helped

The amount of interest you pay does not depend on the method the lender uses to calculate interest.
True or False

Answers

False any method will give the same amount

Answer:

FALSE

Step-by-step explanation:

The amount of interest paid depends on the method adopted by the lender. There are several methodologies for applying interest, so that each sector will adhere to the most convenient modality. The interest paid by you will be the result of this choice and may for example have a daily, monthly, semi-annual or annual impact. Obviously all interest charged must be clearly described in a contract and must be considered legal in the state legal apparatus.

8/10 divided by 1 5/6

Answers

24/55 is the answer 
You can either use a calculator on your phone or computer 

The surface area of a snowball melting decreases at a rate of 6cm/min. how is the volume changing when the radius is 3

Answers

bear in mind that, ds/dt is a negative 6, because the area is "decreasing".

[tex]\bf \textit{surface area of a sphere}\\\\ s=4\pi r^2\implies \boxed{\cfrac{s}{4\pi }=r^2} \\\\\\ \cfrac{1}{4\pi }\cdot \cfrac{ds}{dt}=\stackrel{chain~rule}{2r\cfrac{dr}{dt}}\implies \boxed{\cfrac{\frac{ds}{dt}}{8\pi r}=\cfrac{dr}{dt}}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\implies V=\cfrac{4\pi }{3}\cdot r^2\cdot r\implies V=\cfrac{\underline{4\pi} }{3}\cdot \boxed{\cfrac{s}{\underline{4\pi} }}\cdot r \\\\\\ V=\cfrac{1}{3}sr\implies \cfrac{dV}{dt}=\cfrac{1}{3}\left( \cfrac{ds}{dt}\cdot r+s\cdot \cfrac{dr}{dt} \right)\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{now, when the radius is 3}\qquad \begin{cases} \frac{ds}{dt}=-6\\\\ s=4\pi 3^2\\ \qquad 36\pi \\\\ \frac{dr}{dt}=\frac{-6}{8\pi 3}\\\\ \qquad -\frac{1}{4\pi } \end{cases} \\\\\\ \cfrac{dV}{dt}=\cfrac{1}{3}\left(-6\cdot 3~~+~~36\pi\cdot -\cfrac{1}{4\pi } \right)\implies \cfrac{dV}{dt}=\cfrac{1}{3}(-18-9) \\\\\\ \cfrac{dV}{dt}=-\cfrac{27}{3}\implies \cfrac{dV}{dt}=-9[/tex]

Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores. Drag marshmallows and graham crackers into the box to show how many Niko needs to make 3 s'mores.

Answers

 6 graham crackers and 9 marshmallows. 

Answer: Niko needs 9 marshmallows and 6 graham crackers to make 3 s'mores.


Step-by-step explanation:

Let x be the number of marshmallows , y be the number of graham crackers and z be the number of s'mores.

Then according to given question

Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores

gives the equation 12x+8y=4z

If we divide whole equation by 4 , we get the quantity of x and y to make z such that

[tex]\frac{1}{4}(12x+8y)=\frac{1}{4}(4z)\\\Rightarrow3x+2y=z[/tex]

Now to make 3 s'mores, we need to multiply the equation by 3 such that

[tex]3\times(3x+2y)=3\times\ z\\\Rightarrow\ 9x+6y=3z[/tex]

Thus Niko needs 9 marshmallows and 6 graham crackers to make 3 s'mores.


When creating a scatterplot, if the points are too close together to see the relationship, how could you adjust your graph?
A.
decrease your scale values
B.
increase your scale values
C.
plot more points
D.
plot fewer points

Answers

The answer is B. increase your scale values
 A. decrease your scale values

Lines a and b are parallel. What is the measure of angle s? Enter your answer in the box. s = ∘∘ Horizontal parallel lines a and b intersect with another line making eight angles, the top right angle of line a is labeled one hundred fifty eight degrees, and the top left angle of line b is labeled X degrees

Answers

s = 22 degrees
       
Assuming I'm interpreting your description accurately, the top right angle of line b will also be 158 degrees because it's a corresponding angle to the top right angle of line a. That means that the top left angle of line b will be a supplementary angle. And supplementary angles add up to 180. So 180 - 158 = 22.

Answer:

Measure of angle s is 22°

Step-by-step explanation:

Given that lines a and b are parallel. Horizontal parallel lines a and b intersect with another line making 8 angles, the top right angle of line a is labeled 158° and the top left angle of line b is labeled s degrees

we have to find the measure of angle s.

As ∠1 and 158° and on straight line hence are supplementary

i.e ∠1+158°=180°

⇒ ∠1=180°-158°=22°

Also, angle s and ∠1 are alternate interior angles.

As a and b are parallel then alternate interior angles are equal.

Hence, ∠s=∠1=22°

Measure of angle s is 22°

Ryan earns $7.50 an hour doing yard work if you were 12 hours a week during an 11 week summer break how much money will Ryan earn in all

Answers

$7.50 times 12 hours = $90
$90 times 11 months = $990

Let f(x) = 4x-5 and g(x) = 3x, find (fog)(x)
Please answer the question

Answers

7 because 4(3)-5 =7/

Hope I helped

Where a is the frontal area of the ball (πd2/4), and cd is the drag coefficient (0.47 for a sphere). what is the drag force on the ball?

Answers

The frontal areas of the balls is called a penis

For a closed cylinder with radius r ⁢ cm and height h ⁢ cm, find the dimensions giving the minimum surface area, given that the volume is 40 cm3.

Answers

Final answer:

The dimensions that give the minimum surface area are a radius of approximately 2.83 cm and a height of approximately 0.64 cm.

Explanation:

To find the dimensions of the closed cylinder that give the minimum surface area, we need to express the surface area of the cylinder in terms of one variable.

Let's use the radius, r, as the variable.

The surface area of a closed cylinder is given by the formula: A = 2πr² + 2πrh, where h is the height of the cylinder.

Since we are given that the volume of the cylinder is 40 cm³, we can use the formula for the volume of a cylinder to express h in terms of r: V = πr²h = 40 cm³.

Substituting this expression for h in terms of r into the surface area formula, we get:

A = 2πr² + 2πr(40 / (πr²)) = 2πr² + (80 / r).

To find the dimensions that give the minimum surface area, we need to find the value of r that minimizes A.

To do this, we take the derivative of A with respect to r and set it equal to zero:

A' = 4πr - (80 / r²) = 0. Solving this equation, we find that r = √(20/π) ≈ 2.83 cm.

So, the radius that gives the minimum surface area is approximately 2.83 cm.

We can then use the volume formula to find the corresponding height: h = 40 / (π(2.83)²) ≈ 0.64 cm.

Therefore, the dimensions giving the minimum surface area are a radius of approximately 2.83 cm and a height of approximately 0.64 cm.

a triangle is classified as equilateral triangle when it has

Answers

A triangle is classified as an equilateral triangle when all sides are equal to one another and all angles are equal to 60 degrees.

Answer:

Three sides with the same length because that is what an equilateral triangle is.

Step-by-step explanation:

Daisy is shipping a package to her daughter, Molly. If the box’s dimensions are equal, and the length is 3 feet long, what is the volume of the box in cubic feet?
A. 1
B. 3
C. 9
D. 27

Answers

D, Because 3 cubed is 27. If the box's length is 3 feet then the width and height is also 3.

If "the box's dimensions are equal," and "the length is 3 feet," then 
length=width=height = 3 ft.  The volume is (3 ft)^2 = 27 ft^3.

At the store deli, Rita spent $13.45 on 5 pounds of cheese. How much would it cost to buy 2 pounds of cheese?

Answers

Let x be he price of 2 pound of cheese. Then:
13.45/5 = x/2
x = 13.45*2/5
x = 5.38
The answer will be $5.38

Answer:

The cost would be $ 5.38.

Step-by-step explanation:

Given,

The price of 5 pounds of cheese = $ 13.45,

So, the price of 1 pounds of cheese = [tex]\frac{\text{Price of }5\text{ pounds of cheese}}{5}[/tex]

[tex]=\frac{13.45}{5}[/tex]

[tex]=\$ 2.69[/tex]

Thus, the price of 2 pounds of cheese = 2 × price of each pound of cheese

= 2 × 2.69

= $ 5.38

An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum values of I

Answers

take the derivative with respect to t
[tex] - w \sin(wt) + \sqrt{8} w cos(wt)[/tex]
the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
[tex]0 = -w \sin(wt) + \sqrt{8} w cos(wt)[/tex]
divide by w
[tex]0 =- \sin(wt) + \sqrt{8} cos(wt)[/tex]
we add sin(wt) to both sides

[tex]\sin(wt)= \sqrt{8} cos(wt)[/tex]
divide both sides by cos(wt)
[tex] \frac{sin(wt)}{cos(wt)}= \sqrt{8} \\ \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\ \\ wt=arctan(2 \sqrt{2)} [/tex] OR[tex] \\ [/tex] [tex]wt=arctan( { \frac{1}{ \sqrt{2} } ) [/tex]
(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

[tex]I=cos(2n \pi -2arctan( \sqrt{2} ))[/tex]
since 2npi is just the period of cos
[tex]cos(2arctan( \sqrt{2} ))= \frac{-1}{3} [/tex]
substituting our second soultion we get
[tex]I=cos(2n \pi +2arctan( \frac{1}{ \sqrt{2} } ))[/tex]
since 2npi is the period
[tex]I=cos(2arctan( \frac{1}{ \sqrt{2}} ))= \frac{1}{3} [/tex]
so the maximum value =[tex] \frac{1}{3} [/tex]
minimum value =[tex]- \frac{1}{3} [/tex]


The maximum value of the electric current is [tex]I_{max}=\dfrac{1}{3}[/tex]

the minimum value of the electric current is [tex]I_{min}=-\dfrac{1}{3}[/tex]

The given expression for electric current is [tex]I=\cos(\omega t)+\sqrt{8}\sin(\omega t)[/tex] where [tex]\omega \neq 0[/tex].

Differentiate the given function with respect to [tex]t[/tex]-

[tex]\dfrac{dI}{dt}=\dfrac{d(\cos(\omega t)+\sqrt 8 \sin(\omega t))}{dt}\\\dfrac{dI}{dt}=-\omega \sin(\omega t)+\sqrt 8 \omega \cos(\omega t)[/tex]

Equate the derivative to 0-

[tex]\dfrac{dI}{dt}=0\\-\omega \sin(\omega t)+\sqrt 8 \omega \cos(\omega t)=0\\\sin(\omega t)=\sqrt 8 \cos (\omega t)\\\tan (\omega t)=\sqrt 8\\\omega t=\tan^{-1}\sqrt 8\\\omega t=2n\pi-2\tan^{-1}\sqrt 2}\\or,\\\omega t=2n\pi+2\tan^{-1}\sqrt {1/2}}[/tex]

[tex]2n\pi[/tex] is the period of sine and the cosine trigonometric function.

So, the maximum value of the electric current is

[tex]I_{max}=\cos(2\tan^{-1}\sqrt {1/2})\\I_{max}=\dfrac{1}{3}[/tex]

Also, the minimum value of the electric current is

[tex]I_{min}=\cos(2\tan^{-1}\sqrt {2})\\I_{min}=-\dfrac{1}{3}[/tex]

Learn more about maximum and minimum values of the functions here:

https://brainly.com/question/13581879?referrer=searchResults

The factored form of 4a3b5 − 16a5b2 + 12a2b3 is ?

Answers

4a^2b^2(ab^3-4a^3+3b)

Answer:

The factored form of [tex]4a^3b^5-16a^5b^2+12a^2b^3[/tex] is [tex]4a^2b^2\left(ab^3-4a^3+3b\right)[/tex].

Step-by-step explanation:

To find the factored form of [tex]4a^3b^5-16a^5b^2+12a^2b^3[/tex] you must:

Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]

[tex]a^2b^3=a^2b^2b,\:a^5b^2=a^2a^3b^2,\:a^3b^5=a^2ab^2b^3[/tex]

So, we can write our expression as [tex]4a^2ab^2b^3-16a^2a^3b^2+12a^2b^2b[/tex].

Next, rewrite 12 as [tex]3\cdot \:4[/tex] and -16 as [tex]4\cdot \:4[/tex]

[tex]4a^2ab^2b^3+4\cdot \:4a^2a^3b^2+3\cdot \:4a^2b^2b[/tex]

Factor out common term: [tex]4a^2b^2[/tex]

Therefore,

[tex]4a^3b^5-16a^5b^2+12a^2b^3= 4a^2b^2\left(ab^3-4a^3+3b\right)[/tex]

16.99 cap; 20% discount

Answers

price after discount = original price - discount.

price after discount = 16.99 - (16.99 x 0.20)
= 16.99 - 3.398
= 13.592 or $13.59

Which investment has the least amount of risk? standard deviation = $450, expected return = $4,500 standard deviation = $600, expected return = $400 standard deviation = $500, expected return = $800 standard deviation = $400, expected return = $5,000?

Answers

The investment with the highest expected return to standard deviation ratio is the investment with the least risk.

Investment 1: standard deviation = $450, expected return = $4,500
expected return to standard deviation ratio = 4500 / 450 = 10

Investment 2: standard deviation = $600, expected return = $400
expected return to standard deviation ratio = 400 / 600 = 0.67

Investment 3: standard deviation = $500, expected return = $800
expected return to standard deviation ratio = 800 / 500 = 1.6

Investment 4: standard deviation = $400, expected return = $5,000
expected return to standard deviation ratio = 5000 / 400 = 12.5

Therefore, the investment that has the least amount of risk is the invetment with standard deviation = $400, expected return = $5,000

7.58 rounded to the nearest tenth place

Answers

7.58

7.6

hope that helps, God bless!
the answer is 7.60 or 7.6

hope it helps!

Pls help me with these three! Thanks!

Answers

I don’t get it what’s x supposed to represent

Tell whether the two rates form a proportion

7 inches in 9 hours; 42 inches in 54 hours

explain how you got the answer/show your work

Answers

Yeah it does. Just up the equation. 7/9=42/54 and cross multiply so 7x54=378 and 9x42=378.
Another way I did it was that I divided 9/7 to get 1.2857. I tried the same to 54/42 and I got the same answer. I then used 1.2857 to multiply that by 7 and it ended up giving me 9 and I used that to multiply it by 42 as well to get 54.
Final answer:

The rates of 7 inches per 9 hours and 42 inches per 54 hours do form a proportion, as demonstrated by cross-multiplying the two ratios which resulted in equal cross products (378 inch-hours on both sides).

Explanation:

To determine if the two rates form a proportion, we need to compare the ratios of inches to hours for both scenarios. For the first rate, we have 7 inches in 9 hours, and for the second rate, we have 42 inches in 54 hours. A proper proportion exists when two ratios are equivalent.

Let's set up our two ratios:

First ratio: ​7 inches / 9 hoursSecond ratio: 42 inches / 54 hours

Now, we will test if these ratios form a proportion by creating a fraction out of each ratio and then cross-multiplying.

(7 inches / 9 hours) = (42 inches / 54 hours)

Cross multiply:

7 inches * 54 hours = 378 inch-hours

42 inches * 9 hours = 378 inch-hours

Since the cross products are equal, the two rates indeed form a proportion.

An artist agrees to paint a landscape painting at $0.30 per square inch. If the painting is 13 inches by 17 inches, how much should the artist charge?

Answers

area of painting = 13 * 17 = 221 square inches

221 * 0.30 = 66.30

 the price would be $66.30

Which line has a mistake in the following steps.
12 - 6(8 / 4)
12 - 6(2)
6(2)
12

Answers

The third line is incorrect.
It should read 12 - 12
Then the 4th line is 0
The person subtracted 12 - 6 before multiplying 6(2)

Rafael walks 2.5 km every day. How far does he walk in 9 days?

Answers

Rafael walks 22.5 km in 9 days.
22.5
All you have to do is multiply 2.5x9

what is the answer to simplify 9 yards: 9 feet

Answers

if you mean this as a ratio, 9:9, then you simply find the greatest common factor of both numbers and divide them like that. you get two numbers and that's your answer.

Given the number, two-fifths, generate its equivalent forms as a fraction, a decimal, and a percent. In addition, give a real world example in which each form might be used

Answers

The number in the three different forms is as follows.

2/5 (fraction), 0.2 (decimal), and 20% (percent).

You could use percentages for the results of a poll. For example, if you held a poll for which flavour of ice cream is your favorite. Let's say you surveyed 100 kids and 50 kids voted chocolate, 30 vanilla, and 20 strawberry. Then you could say 20% voted for strawberry. 

You could use the decimal form for money. For example, let's say you want to buy something that costs $10.20 and you only have 10 dollars. You could say that you would need 20 more cents, or $0.20.

As for the fraction, you could use this for measurements. For example, let's say you have a piece of fabric. You want to cut it up into 5 equal pieces, but only use two of those pieces. You could say that you would only use 2/5 of the fabric.

I hope I helped you out! If anything is wrong, please let me know about it! :)

2x^3-18x

factor completely

Answers

X is -10. I think, I might be wrong.

In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°.What is the measure of ∠3?

Answers

The measure of angle 3 is 60.

One-fourth equals the quotient of a number and 8. Find the number.

Answers

1/4 = n / 8
multiply both sides by 8 to isolate the variable, n.

2 = n

The number is 2.
1/4 =  n/8
so 
n = 8/4 = 2

answer

number is 2 
Other Questions
Describe the preparation of 40 liters of 0.02 m phosphate buffer, ph 6.9 In an essay, discuss how the ways in which Americans spent their new leisure times in the era after civil war are similar to popular activities today. Corporate event planners should have strong (a) ________ to book lodging and convention services as needed. Random access memory (ram) is also sometimes called _____ storage. The flow of energy from an ecosystem to an organism and from one organism to another is called ______ Suppose you have already been waiting for one hour for a taxi. what is the probability that one arrives within the next 10 minutes? Which one of the following is an arithmetic sequence? A. .35, .5, .85, 1.1, 1.22, . . . B. 5, 0, 1, 3, 7, . . . C. 2, 3, 5, 7, 11, 13, 17, . . . D. 2, 1, 4, 7, 10, . . . Sal brought $7.50 to the fair and Karma brought $8.75 to the fair. Which expression shows the total amount they brought?A)$8.75 - $7.50 = $16.25B)$8.75 + $7.50 = $15.25C)$8.75 - $7.50 = $1.25D)$8.75 + $7.50 = $16.25 James has 24 shirts, 18 pairs of pants , and 16 pairs of shoes in his closet, but one oc the shirts is his favorite. How many combinations of shirt, pants and shoes are possible assuming james wears his favorite shirt Write an expression to find the difference in the maximum area and minimum area of a nys high school soccer field. Then evaluate the expression. Max length 100yardsMax length 120 yardsMinimum width 55 yardsMaximum width 80 yards The national labor relations act of 1935 (wagner act) required employers to ________.a. limit the amount of hours worked per weekb. negotiate with elected representatives of their employeesc. bargain with union organizers in "good faith"d. establish open shops where unions are free to organize Assuming ideal gas behavior, what is the pressure in atm exerted by 1.57 mol Cl2(g) confined to a volume of 1.50 L at 273K? Carbohydrates, lipids, proteins and nucleic acids are considered _____________, which means they are large organic molecules.A. MacromoleculesB. MicromoleculesC. NanomitesD. Polar What is the factorization of 3x2 8x + 5? Which of the following is the best example of a characteristic of an experiment?Participants should be selected into the treatment group randomly.Participants are rarely aware that they are part of an experiment.Participants are observed without researchers making changes to their behaviors.The results of an experiment are based on a questionnaire given to a random sample of the population. How does hally get control of "the boys" when willie is chasing sam around the room? The marginal utility of coffee consumption for steve is the change in _____ generated by consuming an additional cup of coffee. Which of these is an example of recombination of atoms to form newer molecules?Molding a wire of goldHammering a piece of ironTarnishing of a silver coinRolling of a sheet of aluminum A _____ is a type of personality test that involves gathering a subject's responses to specific questions and comparing those responses to standardized norms collected from large groups of people Since companies do not know precisely how much demand will be placed on their computing resources in the future, an attractive element of using the cloud is the fact that it is ________. Steam Workshop Downloader