Brett has a 30 year fixed rate mortgage for $112500 with monthly payments of $603.92. The annual interest rate is 5% what is the total cost of the principal and interest for this not rounded to the nearest dollar
Answer:
a. Total cost of the principal = $217,411.20
b. Interest for the mortgage loan = $104,911.20
Step-by-step explanation:
Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20
Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:
Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20
In exercises 27-30, three vertices of DEFG are given. Find the coordinates of the remaining vertices: D(-2,-4)
Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
The question has missing parameters.
The (missing) given coordinates are:
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
Find the measure of the missing angles.
Answer:
b = 20, c = 160
Step-by-step explanation:
b and 20 degrees are vertical angles, so they are equal.
b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees
Travis reads 21/4 pages of his history assignment in 7 1/2
minutes. Which TWO statements are correct?
A)
The unit rate is 7 pages per minute.
B)
7
The unit rate is
10
page per minute.
0)
The unit rate is 51 pages per minute.
D)
At the same rate, Travis reads 40 pages in 28 minutes.
E)
At the same rate, Travis reads 60 pages in 28 minutes.
Answer:
its B and E i just did the question and got it right
Answer:
B and D
Step-by-step explanation:
very confusing , help me out please ...?
Step-by-step explanation:
[tex] \sqrt{7} = {7}^{ \frac{1}{2} } = \sqrt{7} [/tex]
how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?
Answer:
The anwer is below.
Step-by-step explanation:
To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.
an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5
To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.
an example : 5,7, 8, 4 = 4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6
To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.
An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to
To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.
An example 5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4
PLEASE HELP
Special Right Triangles and Pythagorean Theorem
1. Find the length of the missing side.Leave your answer in the simplest radical form.
please show work
Answer:
x = 14
Step-by-step explanation:
15² = x² + 6²
225 = x² + 36
189 = x²
√189 = x
x = 13.7
x = 14
one number is 5 more than 4 times another number. their sum is 35. find the 2 numbers
Mark is trying to create a triangle. He uses the measurements 5cm, 3cm, and 7cm. Did Mark make a triangle?
A. Yes
B. No
Answer:
Yes
a triangle is any three sided figure, so yes he did
Step-by-step explanation:
Find the measure of angle m
Answer:
12 answer
Step-by-step explanation:
(8x-34)=(5x+2) (correspounding angle)
8x-5x=34+2
3x=36
x=36/3
x=13
Estimate 0.52 + 1.2 and explain how you made your estimate. Please hurry this is due soon!!
Answer:
1.72
Step-by-step explanation:
0.52 plus 1.2 is equal to 1.72
Answer:
1.5
Step-by-step explanation:
0.52+1.2
approx.
0.5+1.0=1.5
Hey I need help with this question thanks for people who can help me and have a good day could you include explanation
Answer:
25
Step-by-step explanation:
Formula
[tex]B = 25(\frac{M}{10} +\frac{3}{4} )[/tex]
Where M meters of granola makes B granola bars.
Given:
M = 2.5 meters
Now substitute that value in the formula and calculate.
[tex]B=25(\frac{2.5}{10} +\frac{3}{4} )= 25(1) = 25[/tex]
Therefore, 2.5 meters of granola makes 25 granola bars.
B = 25
–65 ≥ –10+ u/ 2
pls help
Answer:
–65 ≥ –10+ u/ 2
-65+10≥u/2
-55×2≥u
-110≥u
Answer:
-110>or equal to u
hope it's helpful ❤❤❤
THANK YOU❤
Anybody who is good with word problems and (who has done these before) plz help thx!!! :DD
WILL MARK BRAINLIEST WHOEVER ANSWERS BOTH CORRECLTY :3!!!!
1. [tex] \frac{x}{15} = 3[/tex]
2. 8x = 216
Answer:
1. 45
2. 27
(please correct me if im wrong :D)
BRAINLIEST FOR WHO ANSWERS CORRECTLY!!!! ASAP HELP (LOOK AT SCREENSHOT)
Answer:
e. 9 ft
Step-by-step explanation:
10. A bag contains 4 red, 7 blue, 8 green, and 5 white marbles. What is the theoretical
probability that a randomly selected marble is green?
O
a 1
3
Ob.
2
c. 1
6
Answer:
C. 1
Step-by-step explanation:
C. 1
How many non zero digits should numbers written in scientific notation have
Answer:
All the none-zero digits given should be included when written in scientific notation. But also any trailing zeros written after non-zero digits should also be included.
For example in 0.00900 the 900 is significant because the person who included the trailing zeros is saying look I measured this far and these zeros are significant.
Ty'Lil has $220 to spend on a membership to a new gym. The monthly fee is $15 and he must also pay $40 to join. How many months can he afford?
Answer: 12
Step-by-step explanation:
220-40=180
180/15=12
Answer:
11 months
Step-by-step explanation:
220 -40=180
Since you have to pay $40 to join you have to add $15 to that $40 for the monthly fee.
220-40-15=156
^ This equals one month worth of the membership.
220-40-15-15-15-15-15-15-15-15-15-15-15=0
So add up all the 15s and you have the number of months Ty ´Lil can afford.
I hope this makes sense.
Combine Like terms and write an equivalent expression with the fewest number of terms. 4 -2x + 5x
Answer:4-7x i believe
Step-by-step explanation:
23 2/5−11 4/5 Enter your answer as a mixed number in simplest form.
Answer:
11 3/5
Step-by-step explanation:
23 2/5-11 4/5
22 7/5-11 4/5
11 3/5
arynbo3324
WHOEVER THIS IS I NEED YOUR HELPP!!
Someone plz help me I will give brainliest plz
Answer:
8.5 is correct answer i read a diffrent question did a diffrent problem its 8 and a half not 0.85 that would be a very small e-reader
please help marking brainlist
Answer:
50.0
Step-by-step explanation:
pls follow me and Mark as brainliest and follow me to get free thnks to all your answer's
Answer:
50.0
Step-by-step explanation:
In the old British money system, 5
shillings was equal in value to 1
crown. Emily had 45 shillings. What
was the value in crowns?
Which number line represents the solution set for inequality?
Answer:
Which number line represents the solution set for inequality?
c.
Examine the following graph of a line. Which equation correctly represents the line in slope-intercept form?
Answer:
-8 -8
Step-by-step explanation:
Because it is the most reasonable
help me w this multiple choice!
Answer:
D
Step-by-step explanation:
[tex] \sin(30) = \frac{n}{ \frac{10 \sqrt{3} }{3} } \\ 0.5 = \frac{n}{5.77} \\ n = 2.88 = \frac{5 \sqrt{3} }{3} [/tex]
[tex] \cos(30) = \frac{m}{ \frac{10 \sqrt{3} }{3} } \\ 0.866 = \frac{m}{5.77} \\ m = 5[/tex]
How? (2x^2 - 3x - 4)(x + 7)
Answer:
[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]
Step-by-step explanation:
Using foil method, Multiply the first term
[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]
Next, Multiply the Outer term in each parenthesis. (2x^2 and 7
[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]
[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]
Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis
[tex] - 3x \times 7 = - 21x[/tex]
[tex] - 4 \times x = - 4x[/tex]
Then multiply the last term (-4 and 7).
[tex] - 4 \times 7 = - 28[/tex]
Combine it you have
[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]
which simplify to
[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]
Write a function representing the line that includes the points (3,3) and (-6,15)
A function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.
The given coordinate points are (3,3) and (-6,15).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Now, slope=(y2-y1)/(x2-x1)
= (15-3)/(-6-3)
= 12/(-9)
= -4/3
Substitute m=-4/3 and (x, y)=(3, 3) in y=mx+c, we get
3=-4/3 (3) +c
c=7
Put, m=-4/3 and c=7 in y=mx+c, we get
y=-4/3 x+7
3y=-4x+21
Therefore, a function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
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