Ben makes $39,600 a year. What is the maximum amount he can afford for a'


mortgage each month?


O


O


O


A. $890


B. $825


c. $850


D. $875

Answers

Answer 1

Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry

Answer 2

The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.

What is mortgage?

The mortgage is a type of loan which is taken to purchase the home or lands.

In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,

[tex]M=\dfrac{39600}{4}\\M=9900[/tex]

There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,

[tex]M=\dfrac{9900}{12}\\M=825[/tex]

Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.

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Related Questions

HELP ASAP!!!! There is a clip below.

Answers

Answer:

7/4 x 3/2 x 1/2 = 1 5/16 or 21/16

Step-by-step explanation:

Find the GCF of 22ab2 c2 and 40a 3 c2.

4a3b2c2

2ab2c2

4ac2

2ac2

Answers

Answer:

work is shown and pictured

Can someone help please

Answers

Answer:

9

Step-by-step explanation:

its perpendicular so you do the negative reciprical

Answer:

The correct answer is

A. 9

Step-by-step explanation:

Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.

Hope this helps!

- Quinn <3

Which ordered pairs make both inequalities true? Check all that apply. (−5, 5) (0, 3) (0, −2) (1, 1) (3, −4)

Answers

Answer:

(0,-2) and (1,1)

Hope this helps :)

Answer: (0,-2) & (1,1)

Step-by-step explanation:

correct answers ✅

A restaurant bill is $27.50. If the sales tax is 7.5% and a 20% tip is added, what is the total cost of the meal?

(PLEASE ANSWER ASAP)

Answers

Answer:

35.06

Step-by-step explanation:

So you  have to multiply 27.50 by 0.075 to find the sales tax.

2.0625 ≈ 2.06

If the tip is off the original price, you multiply 27.50 by 0.2.

5.5

The whole meal is 27.50 + 5.50 + 2.06 = 35.06

Total cost of meal is $35.06.

What is percentage?

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

The bill amount = $27.50

tax amount = 7.5%

tip amount = 20%

Now 7.5 % of bill amount

=  27.50x 7.5/100

=  27.50 x 0.075

=2.0625

≈ 2.06

Now 20% of bill amount is

= 27.50 x 20/100

= 27.50x0.2

= 5.5

Now,

The total cost

=  27.50 + 5.50 + 2.06

= 35.06

Hence $35.06 is the total cost.

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A quadrilateral has vertices a(-4 -8) b (-2, 34) c(6,12 and d (10, -30). It undergoes the transformation (x,y) to (x/2,y/2).

What is it's scale factor?
What are the coordinates of the new vertices?
What is a dilatation?

(Will give Brainly)

Answers

Answer:

Step-by-step explanation:

scale factor:

1/2

the coordinates of the new vertices are

A (-4/2, -8/2)

A:(-2, -4)

B (-2/2, 34/2)

B: (-1, 17)

C (6/2, 12/2)

C:(3, 6)

D (10/2, -30/2)

D:(5, -15)

I guess the dilation is 2 times bigger?

Nicole bought 0.54 kilograms of apples and 0.87 kilograms of oranges. How much fruit did
she buy in all?
kilograms​

Answers

Answer:

1.41

Step-by-step explanation:

You add 0.54 by 0.87

the sum of two rational numbers will always be

Answers

The sum of two rational numbers will always be rational

[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational

Please help!!! WILL MARK BRAINLIEST ANSWER!!! A medical researcher designs a study that will investigate the effects of a
new drug on lowering patient's cholesterol level. The researcher randomly
selects participants for two groups. One group is given the new drug and the other group is given a placebo. Any person, within driving distance of the hospital, is allowed to participate and will be given a monetary compensation. Each sample consists of 5 patients. Select all weaknesses in the design.

Answers

 b. more groups should have been

Answer:

C AND D

Step-by-step explanation:

One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Find the lengths of the legs of the triangle

Answers

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

What is the radius of a circle given by the equation x2 + y2 – 2x + 8y – 47= 0?

Answers

Answer:

8

Step-by-step explanation:

Please help me quick!!!!!!!!!!!!!!!!!

Answers

Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

£60 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Richard get?

Answers

Answer: £18

Step-by-step explanation:

let Bridget get £x,

Stephen gets 3x, Richard gets 2(3x)

Equation is x + 3x + 6x = 60

10x = 60: x = 60/40 = 6

Bridget gets £6

Stephen gets 3x = 3 x 6 = £18

Richard gets 2(3x) = 2 x 18 = £36

4(2+a)=24 what is the answer

Answers

Given:

4(2 + a)= 24

Use Distributive Property:

8 + 4a = 24

Subtract 8 to both sides:

4a = 16

Divide 4 to both sides:

a = 4

Answer:

A = 4

Step-by-step explanation:

Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.

1) Use the distributive property to simplify the first part of the equation.

4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.

(8 + 4a)

2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.

2a. Subtract 8 from both sides of the equation:

8 + 4a - 8 = 24 - 8.

So now you have 4a = 16.

2b. Divide 4 from both sides of the equation.

4a/4 = 16/4

So now you have a = 4.

Final answer:

A = 4

Will give brainliest answer

Answers

Area of square = L x W
= 5 x 5
= 25
Area of triangles = B x H / 2
= 4 x 5 / 2
= 20 / 2
= 10
There are 4 triangles so: 10 x 4 = 40
40 + 25 = 65
Surface area of pyramid = 65 units^2

Answer:

[tex]72.16 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

HELP ME OUT ON THIS ONE ‘

Answers

Answer:

180 degrees rotation

Step-by-step explanation:

you take the. values of the object and multiply by -1 to obtain the values of the image


Factor 16 x2 + 24 x + 9.

(16 x + 3)( x + 3)
(4 x + 3)(4 x - 3)
(4 x + 3) 2

Answers

Answer:

Step-by-step explanation:

(4x + 3)(4x+3) is the factor

the third one is the solution

Which of the following functions is graphed below? Please help ASAP

Answers

Answer:

its not very clear can you take a picture again?

Step-by-step explanation:

2 Points

A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts

are drawn from a single deck. In order to win, the next card the player draws

from the deck must be higher than the highest card already drawn. What is

the probability that the next card the player draws is a winning card? (An ace

is considered to have a value of 1 and jacks, queens, and kings have a value

of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,

9,10,J,Q,K,

A. 25%

B. 24%

C. 32.6%

D. 8%

Answers

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%

A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answer in terms of pie

Answers

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

The volume of frustum of cone is   [tex]42.75\pi[/tex]

What is frustum of cone?

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

Where,

R = Radius of the bigger circular end

r = radius of the smaller circular end

H = height of frustum

According to the question

Original height of cone = 9 cm

Radius of the bigger circular end = 4.5 cm

Radius of the smaller circular end = 3 cm

Height of frustum = 3 cm

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

                                              = [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]

                                              =  [tex]\pi [ 20.25 + 9 + 13.5][/tex]

                                              = [tex]42.75\pi[/tex]

Hence, The volume of frustum of cone is   [tex]42.75\pi[/tex] .

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If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip.

Answers

Answer:

11.6929451 %

Step-by-step explanation:

Take the amount of the tip over the total amount to find the percent left

10.16/86.89 =

.116929451

Multiply by 100 to put in percent form

11.6929451 %

Answer:

approx: 11.693%

Step-by-step explanation:

First divide the tip by the cost:

10.16/86.89

which =

0.11692945103

To get it to a percent we multiply by 100:

0.11692945103x100=

11.692945103

now all we need to do is add the percentage

11.692945103%

And it says approximately so that means round. A good place to round in a number as large as this is the thousandths place, so since the 9 next to the 2 is closer to 10 we make the 2 a 3 to fully complete the rounding.

= 11.693%

please mark brainliest and have a great day

Which number produces a rational number when multiplied by 1/5 ?

Answers

D
A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number

Answer:

D. -2/3

Step-by-step explanation:

A rational number can be shown with a fraction and that's the only fraction in the answer choices

Q. Write the slope-intercept form of the equation of a line using the given graph.

Answers

The answer is A) -1/4x-3

Wich property is represented by the equation shown below? 6 x 3 = 3 x 6 A) Multiplicative inverse property B) Multiplicative identity property C) Associative property of multiplication D) Commutative property of multiplication

Answers

Answer:

D) Communicative Property of Multiplication

Please give brainliest -3-

The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6

Answers

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]

Subtract the polynomials. (3x2+10x+5y)−(−5x2+2x−6y)

Answers

Answer:

[tex]=8x^2+8x+11y[/tex]

Step-by-step explanation:

[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]

The equation of the line of best fit is y = 10x + 40. What does the y-intercept represent?
A.
the total number of questions on the test

B.
the average number of hours the students spent studying

C.
the total number of hours the students spent studying

D.
the test score of a student who did not study

Answers

Answer: D

Step-by-step explanation:

For a student who did not study for the test you will still score 40 on the test by using you own  knowledge.

Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point



9.46 feet long



4.41 feet long



8.58 feet long



10 feet long

Answers

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs

Answers

Answer:

it states:  a squared + b squared = c squared ( the hypotenuse)

Step-by-step explanation:

The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?

Answers

Answer: After 9 years, the ticket will be $13.79

Answer:

$13.79

Step-by-step explanation:

FV = PV(1+r/100)^9

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

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