Martin took out an 80/20 mortgage to buy a house costing $145,000. The
first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?

A) $203.27
B) $730.31
C) $808.38
D) $605.11

Answer:

Step-by-step explanation:

To solve

17/x-12/x-12/2(x-1)

5/x-12/2x-2

The LCM of x and 2x-2 is x and 2x-2

5(2x-2)-12x/x(2x-2)

10x-10-12x/x(2x-2)

To collect like in numerator

-2x-10/x(2x-2)

Answer:

12 inches squared

Step-by-step explanation:

If it is 6 inches by 2 inches, then you multiply 6 by 2 to get 12 inches squared.

Answer:

12 inches squared

Step-by-step explanation:

6 x 2 = 12

Because it's area, you need to make sure that the units are squared.

Answer:

d. 4

Step-by-step explanation:

Arranging in ascending order

1 , 2 , 2 , 3 , 5 , 6 , 6 , 10

No of data (N) = 8

Position of median

= (N+ 1) / 2 th item

= (8 + 1) / 2 th item

= 9 / 2 th item

= 4.5 th item

Exact median

= (5 + 3 )/2

= 8/2

= 4

Answer:

4171/5000

Step-by-step explanation:

When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.

The decimal number 0.8342 as a fraction in the simplest form is 4171/5000.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number into a fraction as follows;

0.8342 = 8342/10000

By dividing both the numerator and denominator by 2, we have the following

8342/10000 = 4171/5000

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Step-by-step explanation:

ok, logic

all of them are parabolas

1st and 3rd are opening up, so they defenitely increase, so no

decraseing

the vertex hs to be be at x=-4

y=a(x-h)^2+k

h has to be -4

y=a(x+4)^2+k

the answer is 2nd one or f(x)=-(x+4)^2+4

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The largest monthly payment David can afford for the television set is $794.

To determine the largest monthly payment David can afford for the television set, we need to calculate his monthly expenses and subtract them from his net income. David's fixed monthly expenses consist of a rent payment of $450 and a student loan payment of $116. Therefore, his total monthly fixed expenses are $450 + $116 = $566.

We can subtract David's total monthly fixed expenses from his net income: $1,360 - $566 = $794. This is the maximum amount David can afford to allocate towards credit card payments and still stay within a safe debt load.

So, the largest monthly payment David can afford for the television set is $794.

Answer: 0.47

Step-by-step explanation:

Answer:

C)  0.47

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. x = y-4

0 = y - 4 -x

4 = y - x

2. 2x+4y = 10

x+4y = 5

x+y = 5/4

Answer:

√37

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3

To solve for x in the equation 27x+3=6, we subtract 3 from both sides, divide both sides by 27, and get the solution x = 1/9.

To solve for x in the equation 27x+3=6, we'll start by isolating the variable x. First, subtract 3 from both sides of the equation to get 27x = 3. Then, divide both sides by 27 to find the value of x.

Therefore, the solution to the equation is x = 1/9.

Answer:

523.6

Volume of Sphere is V=4 /3πr3

Answer:

The angle measurement is 68 degrees

Step-by-step explanation:

The line NL is a straight line, so the angle is 180

NOM and LOM add up to the straight line

Then, subtract 112 from 180 to get 68 degrees as the answer

Answer:

68°

Step-by-step explanation:

1.) 112 + x = 180

2,) subtract 112 to both sides

112 + x = 180

-112       = - 112

         x  = 68

Answer:

a b c and e

Step-by-step explanation:

Answer:

The fist one

Step-by-step explanation:

Answer:

set 1 =11   set 2 =208  Set 2 has the wider spread since the range is bigger

Step-by-step explanation:

range- find the largest number and subtract the smallest number from it

Set 1: 12-1 =11

Set 2: 230-22 =208

Answer:

$69.00

Step-by-step explanation:

Hi there,

In order to solve this problem, I used this formula:

Dollar Markdown = (markdown %)(original price)

You will end up with Markdown = (0.4) (115).

(Be sure to convert the percentage to a decimal value. (ex. 40% = 0.4))

After multiplying, we find that 46 dollars is 40% of the original price.

For the final step, simply subtract the original price by the amount marked down to get $69.00.

Hope this was useful. Cheers.

Answer: 3 equal sides a 3 vertices

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

The length of the belt is the length around 2 inch radius wheel PLUS length around 8 inch radius wheel.

The length around a circular region is its circumference. The formula is:

[tex]C=2 \pi r[/tex]

Where

C is circumference

r is the radius

We sum up both, given first one radius is 2 and second one radius is 8, so we have:

[tex]2\pi r + 2 \pi r \\=2 \pi (2) + 2 \pi (8)\\=4\pi + 16 \pi\\= 20 \pi\\=62.83[/tex]

The length of the belt should be around 62.83 inches

Answer:

None

Step-by-step explanation:

Parallel lines never intercept, giving no solution points

Answer:

Option D.

Step-by-step explanation:

we know that

The number 39 represent the 100%

so

using proportion

[tex]\frac{39}{100}=\frac{x}{27}[/tex]

solve for x

[tex]100x=39(27)\\x=10.53[/tex]

Answer: 3

Step-by-step explanation:

Move the decimal back to its point of origin

To multiply a number by a power of 10, you move the decimal point to the right by the number of zeros in the power of 10.

When multiplying a number by a power of 10, you can count the number of zeros in the power of 10 and move the decimal point that same number of places to the right.

In the case of multiplying 0.008 by 10, the power of 10 is 1, so you would move the decimal point one place to the right, resulting in 0.08.

Therefore, you multiply 0.008 by 10 to get 0.08.

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Answer:

account balance will be $12113.9 and the interest is $2113.9.

Angle of rotational symmetry for the isosceles trapezoid is 180 degrees .

Given, rotational symmetry for isosceles trapezoid .

The trapezium, also known as the trapezoid is a plane figure with four sides, two of which are of equal length.

If the other two sides are also of same length then the figure is said to be isosceles trapezoid .

There is no symmetry in a trapezoid unless it is an isosceles trapezoid. In that case it has one axis of symmetry that cuts the two bases in half. An 180 degree rotation about this axis produces the same figure. There are no other lines of symmetry.

Know more about isosceles trapezoid,

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Answer:

Step-by-step explanation:

To find the mean you need to add up all of the given numbers (order does not matter) then divide by that many numbers.

Add all 5 numbers then divide by 5.

1 + 2 + 3 + 4 + 5 = 15

15 / 5 =  3

I hope this helped!

Answer:

3 is mean

Step-by-step explanation:

Answer:

the answer is b 2

Step-by-step explanation:

Final answer:

Adding a sixth temperature of 83°F to the original data set increases the median temperature from 70°F to 71°F, which is an increase of 1°F. Thus, option A is correct.

Explanation:

The question is asking how much the addition of a sixth day's temperature of 83°F will increase the overall median temperature of the previously recorded five days.

First, we need to arrange the temperatures of the first five days in ascending order: 68°, 70°, 70°, 72°, and 75°. The median of these five numbers is 70°F, which is the middle value.

When we add a sixth temperature of 83°F, the new set of temperatures will be 68°, 70°, 70°, 72°, 75°, and 83°.

With an even number of data points, the median is the average of the two middle numbers which are now 70° and 72°F. The average of 70°F and 72°F is 71°F.

Thus, the new median is 71°F, which is a 1°F increase from the original median of 70°F.

Therefore, the correct answer is A) 1°.

Answer:

To solve this equation we need to get x by itself.

4x-6=10x-3, (the first step would be adding 6 to both sides.)

4x=10x+3 (the next step is the subtract ten from both sides.)

-6x=3 (Last step is the divide both sides by -6.)

x=-1/2

Hope this helps ;)

Answer:

Hi There the correct answer 18. 24.30

Step-by-step explanation:

because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.

Answer:

36

Step-by-step explanation:

9 times 4

The perimeter of a square is calculated by 4 times the length of one side. For a square plastic tarp with each side being 9 meters, the perimeter would be 36 meters.

The perimeter of a square can be calculated by using the formula: 4 x side length. In this case, the length of the side of the tarp is 9 meters. Therefore, to find the perimeter, you would multiply 4 (the number of sides in a square) by 9 (the lengths of one side). That calculation would look like this: 4 x 9 = 36 meters. So, the perimeter of the square plastic tarp is 36 meters.

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Answer:

not enough information.

Step-by-step explanation:

Answer: D!!

Step-by-step explanation: