If you borrow $400,000 at an APR of 4% for 15 years, you will pay more per month than if you borrow the money for 30 years at 4%. However, you will pay much more in interest over the life of the loan. Answer the questions below (10 points) a. What is the monthly payment on the 15-year mortgage, to the nearest cent? (Be sure to use Excel to calculate the monthly payment.) b. What is the total interest paid on the 15-year mortgage? C. What is the monthly payment on the 30-year mortgage, to the nearest cent? d. What is the total interest paid on the 30-year mortgage? e. How much more interest in paid on the 30-year loan?​

Answer: 13

Step-by-step explanation:

Answer:

❤️❤️❤️❤️

Answer:

all of them are acute

.......

Answer:

yes. it will be an acute.

Answer:

SSS(Side,Side,Side)

Step-by-step explanation:

In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Answer:

The coordinates of B is (-8,-5).

Step-by-step explanation:

The midpoint of line AB is M. The coordinate of M is (-6,-4).

The coordinates of A is (-4,-3)

We need to find the mid point of B.

If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :

[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).

[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]

So, the coordinates of B is (-8,-5).

The coordinates of B are (-8, -5).

Given that,

The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),

We have to determine,

The coordinates of B.

According to the question,

The midpoint of line AB is M. The coordinate of M is (-6,-4).

And the coordinates of A is (-4,-3)

If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :

[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

Let the midpoint of B be (x₂, y₂).

M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).

[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]

Solving the equation for the co-ordinate B.

[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]

And,

[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]

Hence, The required coordinates of B are (-8, -5).

To know more about Geometry click the link given below.

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Answer: the rate is (1/8) paintings per week

Step-by-step explanation:

We usually define the rate as the amount of work done in some unit of time.

In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:

(1/4)/2  paintings/week = (1/8) paintings/week.

This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.

Answer:

10008

Step-by-step explanation:

Answer:

Answer:

447

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

Answer:

ANY line that has a slope of 3, and any y intercept other than -5.

Step-by-step explanation:

Parallel lines have the same slopes, but different y intercepts.

So, it would be ANY line that has a slope of 3, and any y intercept other than -5.

here are a few examples:

y=3x-17

y=3x+4

y=3x+3293248032843209.3432492384032984032984023840398249082

y=3x+5

y=3x-1

y=3x

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

∝

x

we can write that

y

=

k

⋅

x

where k is a constant of proportionality.

Using the values given:

6

=

18

⋅

k

⇒

k

=

1

3

y

=

1

3

⋅

12

=

4

Answer:

The 95%  confidence interval is

           [tex] 5.92  <   \mu  <  7.284 [/tex]

Step-by-step explanation:

From the question we are told that

  The data is  6.5   6.7    7.2    6.4    7.3

Generally the sample  mean is mathematically represented as

         [tex]\= x = \frac{\sum x }{n}[/tex]

=>      [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]

=>      [tex]\= x = 6.6[/tex]

Generally the standard deviation is mathematically represented as

         [tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]

=>      [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]

=>      [tex]\sigma = 0.6512[/tex]

Gnerally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>       [tex]df = 6 -1[/tex]

=>       [tex]df = 5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 5  } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  2.571  *  \frac{0.6512}{\sqrt{6} }[/tex]

=>    [tex]E = 0.6835 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x  -E <   \mu  <  \= x  +E[/tex]

=>     [tex]6.6  - 0.6835 <   \mu  <  6.6  +  0.6835[/tex]

=>     [tex] 5.92  <   \mu  <  7.284 [/tex]

Answer:

29 1/2-7 3/4 is 21.75

Then 21.75-1/2 is 21.25

Step-by-step explanation:

There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.

His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].

So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).

= (59/2 - 31/4).

= (118 - 31)/4.

= 87/4c of gumbo soup.

Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.

= (87/4 - 13/2)c.

= (87 - 26)/4c.

= 61/4.

= [tex]15\frac{1}{4}[/tex]c of gumbo soup.

learn more about fractions here :

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Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

9514 1404 393

Answer:

  (W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

  score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

  2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

Answer:

An equilateral triangle is formed.

Step-by-step explanation:

Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.

Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].

Therefore, a triangle with all angles at 60° is an equilateral triangle.

Hope this helped!

Answer:

25

Step-by-step explanation:

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

Answer:

sorryyyyyuuuuuuuuuuuuuuuuuuu

Answer:

-3n = 27

Step-by-step explanation:

Answer:

will i think that's true

Step-by-step explanation:

I hope this helps you

Answer:

I think that it is yes

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

For A it is 0,5

For B it is 1,3

For C it is 4,3

Answer:

.16 or 4/25

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]

multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]

Answer:

n= -10

Step-by-step explanation:

50-20= 30 so -3n=30. So n= -10.

Answer:

n=-10

Step-by-step explanation:

-3n+20=50 move constant to the right hand side

-3n=50-20 subtract the numbers

-3n=30 divide both sides by -3 and the answer is n=-10

Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).

A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.

(sorry if im wrong)

:(

Answer:

Step-by-step explanation:

15×4(which is the difference in the year)=60%(this is the depreciation percent)

The value of the car in 2017=40/100×25000=$10000

Answer:

Skewed to the left

Step-by-step explanation:

In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.

Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.

In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

The equation for the parabola would be y = ((x-3)^2)/4 + 3.

We already know that distance d from the focus to P must be the same as the distance from P to the directrix

(x-h)^2 = 4p(y-k)

x is the same from focus 3

y = (3, (4+2)/2)

y  =(3,3)

by subtracting the y from the focus from the y that we get

p = 4-3 =1

similalry,

(x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  

(x-3)^2=4y-12

simplify it;

4y=(x-3)^2+12

y = ((x-3)^2)/4 + 3

Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.

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Answer:

-4.834 / 73

Step-by-step explanation:

Two points: (2007, 84.134) and (2080, 79.300)

Use the slope formula.

m = y2-y1/x2-x1

m = 79.300 - 84.134 / 2080 - 2007

m = -4.834 / 73

Answer:

X = 20

Step-by-step explanation:

3x + 50 = 6x -10

3x - 6x = -10 - 50

-3x = -60

x = -60/-3

x = 20

Answer:

x = 20

Step-by-step explanation:

Vertically opposite angles are congruent.

6x - 10 = 3x + 50

       6x = 3x + 50 + 10

       6x = 3x + 60

6x - 3x = 60

        3x = 60

          x = 60/3

x = 20