in the 1980s, an average mortgage range was around 18.75%. how much less per month would a $125,000 30 year mortgage be today if the current rate were 5%?

Answer:

The correct answer would be option C

Step-by-step explanation:

80 ft^3 is the answer

Answer:

200ft^3

Step-by-step explanation:

Answer:

$18.66

Step-by-step explanation:

Add together the amounts Keith spent on baseball and truck:  $10.37 + $8.29 = $18.66.  We can ignore the amount he spent on the jacket.

Answer with explanation:

Equation of line Passing through two points (a,b) and (c,d) is given by:

         [tex]\frac{y-b}{x-a}=\frac{d-b}{c-a}[/tex]

Equation of line Passing through two points (8,0) and (3,7) is given by:

      [tex]\rightarrow \frac{y-7}{x-3}=\frac{7-0}{3-8}\\\\\rightarrow \frac{y-7}{x-3}=\frac{7}{-5}\\\\\rightarrow -5 y+35=7 x - 21\\\\\rightarrow 5 y= -7 x +35 +21\\\\ y=\frac{-7 x}{5}+\frac{56}{5}\\\\y=-1.4 x +11.2[/tex]

Comparing with slope intercept form of line,

y= m x+c, where , m is slope and c is y intercept.

⇒Y intercept = 11.2

Equation of line Passing through two points (5,5) and (3,7) is given by:

            [tex]\rightarrow \frac{y-7}{x-3}=\frac{7-5}{3-5}\\\\y-7= -1 \times (x-3)\\\\y=7-x+3\\\\y=-x +10[/tex]

Comparing with slope intercept form of line,

y= m x+c, where , m is slope and c is y intercept.

⇒Y intercept = 10

Equation of line is, y= -x +10.

The y-intercept of the line passing through point A (8, 0) and B (3, 7) is 56/5. The equation of the line that passes through these points and point D (5, 5) is y = (-7/5)x + (56/5).

To determine the y-intercept and the equation of a line, we first need to find the slope of the line. The slope (m) is given by the rise over run, which can be calculated using the coordinates of two points on the line. We have point A with coordinates (8, 0) and point B with coordinates (3, 7). The slope is therefore:

m = (Y2 - Y1) / (X2 - X1) = (7 - 0) / (3 - 8) = 7 / (-5) = -7/5

Now, we use the slope-intercept form of a line equation, which is y = mx + b, where b is the y-intercept. We can determine b by substituting the slope and the coordinates of one of the given points (we'll use point A). So:

0 = (-7/5)(8) + b

b = (7/5)(8) = 56/5

Therefore, the y-intercept is 56/5.

Knowing point D with coordinates (5, 5) is also on the line, we can use our slope m and this point to write the equation of the line:

y = (-7/5)x + (56/5)

However, since we know point D lies on this line, we can check if our equation is correct by substituting x = 5 and seeing whether y = 5:

5 = (-7/5)(5) + (56/5)

5 = -7 + 56/5

5 = 5

This confirms that our calculated equation is indeed correct and passes through all given points.

Answer:

302 mi²

Step-by-step explanation:

Actually we're looking for the "unit rate," which here is the number of square miles are in each region:

27,512 mi²

---------------- = 302 mi² approximately (rounded up from 302.33 mi²)

91 regions

So it's asking how many times greater is 6,000 than 600. Simply divide to find that it is 10 times greater.

Hope this helps you!

The 6 in the hundreds place is 100 and the 6 in the thousands place is 1000

Answer:

Place 20 equally sized pieces of paper in a hat. Of the 20, 3 read "rotten," and the rest read "not rotten".

Step-by-step explanation:

Because the teacher only picked 5 students out of all the students it was a sample.

If the teacher had asked every student, it would have been a population.

Answer:

sample

Step-by-step explanation:

The teacher only asked the five students specifically so it is a sample.

Population would be if the teacher asked every student.

Answer:

A

Step-by-step explanation:

Add up all of the numbers:

110+142+120+180+ 151+110+159+173+173+144+110 = 1572

Next you divide by how many number there are (there are 11 numbers)

1572 ÷ 11 = 142.9090909

142.9090909 rounded to the nearest tenth is 142.9

Answer:

A.  142.9

Step-by-step explanation:

There are 11 members in the data set, therefore:

The mean = (110+142+120+180+151+110+159+173+173+144+110) / 11

= 1572/11

= 142.9.

Answer:

7

Step-by-step explanation:

If 6 is x, then it would be (6-3)2+1. 6-3 is 3, 3 times 2 is 6, 6+1=7

The answer is 7... Just Plug 6 into x and then solve

Answer:  B, A, B

Step-by-step explanation:

Let's find the z-score for both companies using the formula: [tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Company A: [tex]z=\dfrac{43-38.2}{1.7}=\large\boxed{2.8}[/tex]

Company B: [tex]z=\dfrac{43-36.9}{2.4}=\large\boxed{2.5}[/tex]

The z-score from Company B is closer to 0 than the z-score of Company A so it it more likely that a package of 43 lozenges is produced by Company B

Since the z-score from Company A is closer to zero than the z-score of Company B, the company that produced a package with 43 lozenges in it is most likely Company A.

To find which company is more likely to produce a package with 43 lozenges, we'll first calculate the z-scores for each company using the formula:

[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]

Where:

- [tex]\( x \)[/tex] is the number of lozenges in the package (43)

- [tex]\( \mu \)[/tex] is the mean number of lozenges in the package for each company

- [tex]\( \sigma \)[/tex] is the standard deviation of the number of lozenges in the package for each company

For Company A:

[tex]\[ z_A = \frac{43 - 38.2}{1.7} = \frac{4.8}{1.7} \approx 2.82 \][/tex]

For Company B:

[tex]\[ z_B = \frac{43 - 36.9}{2.4} = \frac{6.1}{2.4} \approx 2.54 \][/tex]

Since the z-score for Company A (2.82) is higher than the z-score for Company B (2.54), it indicates that the value of 43 lozenges is relatively further away from the mean for Company A compared to Company B.

Thus, Company A is more likely to produce a package with 43 lozenges.

The correct question is:

Suppose Company A produces packages of throat lozenges that are normally distributed with a mean of 38.2 individual lozenges and a standard deviation of 1.7 lozenges.

Company B produces packages of throat lozenges that are normally distributed with a mean of 36.9 individual lozenges and a standard deviation of 2.4 lozenges.

Select from the drop-down menus to correctly complete the statement.

Since the [tex]$z$[/tex]-score from [tex]$\square$[/tex] is closer to zero than the [tex]$z$[/tex]-score of [tex]$\square$[/tex] , the company that produced a package with 43 lozenges in it is most likely [tex]$\square$[/tex] .

Answer:

(5, −6) and R(−5, 6)

Step-by-step explanation:

Answer:

4. Q(5, -6) and R(-5, 6)

Step-by-step explanation:

In the coordinates of point P which is (-5,-6) when you reflect it on the Y axis that means that the Y would be the same but the X will change signs, thats why the point Q is (5.-6) and to reflect it on the X axis the X remains the same but the Y would change the sign this is why point R will be (-5,6).

So point Q is (5,-6) and point R is (-5,6).

Answer: 15 cm

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

[tex]A=l*w[/tex]

Where "l" is the lenght and "w" is the width.

You know that the area of this rectangle is 75 square centimeters and the width is 5 centimeters. Then, you can substitute these values into the formula [tex]A=l*w[/tex] and solve for the lenght. Then you get:

[tex]75cm^2=l(5cm)\\\\\frac{75cm^2}{5cm}=l\\\\l=15cm[/tex]

Therefore, the lenght of the rectangle is 15 centimeters.

Answer:

15 centimeters.

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length by the width.

In this case, the width is 5 centimeters.

So, so find the area, you would have to multiply 5 by the length. Let's call the length "x".

The equation to solve this problem would be:

5x - 75

Now we can solve the equation...

Divide both sides by 5...

5x / 5 = 75 / 5

x = 15

Since x is equal to 15, that means that the length is 15, because we said that the length is equal to x.

Length = x = 15

------------------

Hope this helped!

Answer:

40 cm

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{4x}{x}[/tex] = [tex]\frac{48}{x+2}[/tex], simplifying gives

4 = [tex]\frac{48}{x+2}[/tex]

Multiply both sides by (x + 2)

4(x + 2) = 48 ( divide both sides by 4 )

x + 2 = 12 ( subtract 2 from both sides )

x = 10

Hence

width = 4x = 4 × 10 = 40

Answer:

3 hours

Step-by-step explanation:

3 hours as it takes 3 periods to be 40000

If there are initially 5000 bacteria in a culture,and the number of bacteria doubles each hour. The culture will take around 3 hours to reach 40,000 bacteria.

To determine how long it will take for the culture to grow to 40,000 bacteria, we can use the given formula: N = 5000 * (2^t), where N represents the number of bacteria after t hours.

Substitute N with 40,000 and solve for t:

40,000 = 5000 * (2^t)

Divide both sides by 5000:

8 = 2^t

Since 2^3 = 8 we can conclude that t is equal to 3

Therefore it will take approximately 3 hours for the culture to grow to 40,000 bacteria.

Learn more about bacteria here:https://brainly.com/question/30638162

#SPJ3

x = 90

y = 180 - (90 + 47)

y = 43

Answer:

The capacity of the remaining bottles = 4 pints.

Step-by-step explanation:

6*3 + 6*b = 42

6b = 42 - 18

6b = 24

b = 4.

The required quantity of the remaining 6 bottles is 4 pints.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Ben fills 42 pints of juice in 12 bottles. Six bottles have a capacity of 3 pints each.

Let b represent the capacity, in pints, of each of the remaining 6 bottles.,
Now,
42 = 3 × 6 + b × 6
42 = 18 + 6b
6b = 42 - 18
b = 24/6
b = 4

Thus, the required quantity of the remaining 6 bottles is 4 pints.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ5

Answer:

Y=3x(x-4)

Step-by-step explanation:

Answer:

1 degree = 60 minutes

Step-by-step explanation:

The DMS method is for Degree Minutes Seconds.  That allows you to give a precise location the way it's most commonly used on paper maps.  Today, with the electronic maps we mostly use the numeric version (34.234 degrees for example).

So, in the DMS method, one degree is basically like an hour on your clock.  It can be divided into 60 minutes.  Then, those minutes can be divided into 60 seconds.  Just like an hour, a degree has 60 minutes and 3600 seconds.

Final answer:

One degree in the DMS method of angle measurement is divided into 60 minutes. To convert DMS to DD, like with 118 degrees 15 minutes, divide the minutes by 60 and add the result to the degrees, giving you 118.25.

Explanation:

In the DMS method of angle measurement, one degree is equivalent to 60 minutes of angle. This is similar to how an hour of time is divided into 60 minutes. To visualize this, if you consider a full circle being 360 degrees, each degree can be further subdivided into 60 smaller parts, each of these parts is known as a minute of angle.

For example, the conversion of 118 degrees 15 minutes to decimal degrees (DD) is a simple mathematical process. You would divide the minutes by 60 since there are 60 minutes in a degree, resulting in the equation 118 + 15/60, which equals 118.25 degrees. This conversion is an important skill in coordinate conversion activities, where positions are described in DMS format and need to be converted to DD for calculations.

Answer:

B.) e

Step-by-step explanation:

If e is zero and c + d ≠ 0, then the quotient [tex]\frac{c + d}{e}[/tex] will be an undefined number and in that case;

a + b([tex]\frac{c + d}{e}[/tex]) ≠ 1

Answer:

A  = 25√3 cm²

Step-by-step explanation:

View 5√3 cm as being the height of an equilateral triangle whose base is at the bottom of the purple figure.  To find the area of one such triangle, we use the area-of-a-triangle formula A = (1/2)(b)(h).  

                                                     opp

Using the sine function sin Ф = --------

                                                      hyp

we find the length of the hypotenuse, which is also the radius of the octagon, and because this is an equilateral triangle, is also the length of the base:

                √3       5√3 cm

sin 60° = -------- = ------------- , which produces the value of hyp:

                  2             hyp

                √3       5√3 cm

              -------- = ------------- , which produces the value of hyp:

                  2             hyp

√3·hyp = 10√3, or hyp = 10 cm

Then the area of this one triangle is A = (1/2)(b)(h), or

A = (1/2) (10 cm)(5√3 cm) = 25√3 cm²

Answer:

26 cm

Step-by-step explanation:

Tangents drawn to a circle from a point outside the circle are equal in length.

On the left side the tangents are 4/ 4 and 3/3

On the right side the tangents are 2/ 2 and 4/4

Calculating perimeter from the bottom left clockwise

perimeter = 4 + 4 + 3 + 3 +2 + 2 + 4 + 4 = 26 cm

Amber plus 2 family members = 3 total people on the plan.

They share the minutes equally so divide the minutes by 3 to find how many she can use:

720 / 3 = 240 minutes per month.

Now divide the monthly minutes by 30 days:

240 / 30 = 8 minutes per day.

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

Answer:

its C

Step-by-step explanation:

Answer:

Length = 12 meters

Step-by-step explanation:

Rectangle

Perimeter P = 2(L + W)

The length of a rectangle, I, is six meters more than it's width, W.

Then L = W + 6

So

P =  2(W + 6 + W)

P = 2 (2W + 6)

P = 4W + 12

Plug in P = 36 meters

36 = 4W + 12

4W = 36 - 12

4W = 24

 W = 6 meters

L = 6 + 6

L = 12 meters

Answer:

[tex]A(t)=(100-8t)^{2}[/tex]

Step-by-step explanation:

Let

t-----> the number of years

A-----> the area of the cement parking lot

we know that      

The function that represent this situation is

[tex]A(t)=(100-8t)^{2}[/tex]

Final answer:

The function A(t) = [tex](100-8t)^2[/tex] can be used to calculate the area of the cement parking lot after t years by substituting the side length (100-8t) into the formula for the area of a square.

Explanation:

The function that can be used to calculate the area of the cement parking lot after t years is: A(t) = [tex](100-8t)^2[/tex].

To calculate the area of the square parking lot at any given time t, you substitute the side length (100-8t) into the formula for the area of a square, A = side [tex]length^2[/tex].

For example, after 2 years, the area A(2) would be[tex](100-8(2))^2[/tex] = [tex]84^2[/tex]= 7056 square meters.

ANSWER

B) 15

EXPLANATION

The given polynomial is

[tex]23 {x}^{5} + 12 {x}^{2} + 19 { x }^{3} + 15 {x}^{6} [/tex]

We arrange this polynomial in ascending powers of x to obtain the standard form;

[tex] 15 {x}^{6} + 23 {x}^{5} + 19 { x }^{3} + 12 {x}^{2}[/tex]

The degree of this polynomial is 6.

The coefficient of the leading term is 15

(8, 8) and (0, 8). If the equation is y = any number, the second coordinate will always be that number. :)

ANSWER

[tex] -\sqrt{3}[/tex]

EXPLANATION

The given angle is 870°.

870°-360°-360°=150°

This means that:

870° is coterminal with 150°, hence its terminal side is in the second quadrant.

It makes an acute angle of 30° with the x-axis.

Note that cotangent is negative in the second quadrant,

Hence,

[tex] \cot(870 \degree) = \cot(150 \degree) = - \cot(30 \degree) = - \frac{1}{ \tan(30 \degree) } = - \sqrt{3} [/tex]

The first option is correct.

Answer:

use math-way

Step-by-step explanation:

= - square root of 3