Answer:
45
Step-by-step explanation:
To find the exterior angle, you subtract the interior angle, which, in this case, is 135, by 180
So, 180-135=45 degrees
Find the length of each arc. Round your answer to the nearest tenth
Please hurry and no links, thank you!
Functions f(x) and g(x) are shown:
f(x) = x2
g(x) = x2 − 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units
it needs to be shifted to the positive side of the graph by 4 units so right by 4 units is the correct answer
The answer is A. Left by four units. I took the test so it is correct, here is photographic proof:
10. Find the surface area of a rectangular prism that has a length of 8 inches, a width of 3 inches, and a height of 6 inches.
Answer:
144 inches^3
Step-by-step explanation:
The area of a 3D model is length x width x height (lxwxh).
length x width x height
(8) x (3) x (6)
(24) x (6)
144
144 inches cubed
OW has a radius of 10 mm
Right triangle XYZ is inscribed in OW
XZ is a diameter of OW
YZ = 16 mm
Answer: triangle inscribed in a semicircle is always a right triangle, triangle ABC is a right ... With that information, we can conclude that triangle ABC is a 6-8-10 right ... Since the diameter is 10, the radius is 5. ... I am now bumping it up - doing my job.
Step-by-step explanation:
Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?
Answer:
The mortgage chosen is option A;
15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470
Step-by-step explanation:
The details of the home purchase are;
The price of the home = $275,000
The mode of purchase of the home = Mortgage
The percentage of the loan amount payed as down payment = 20%
The amount used as down payment for the loan = $55,000
The principal of the mortgage borrowed, P = The price of the house - The down payment
∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000
The principal of the mortgage, P = $220,000
The formula for the total amount paid which is the cost of the loan is given as follows;
[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]
The formula for monthly payment on a mortgage, 'M', is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
A. When the mortgage term, t = 15-years,
The interest rate, r = 3%
The number of months over which the loan is payed, n = 12·t
∴ n = 12 months/year × 15 years = 180 months
n = 180 months
The monthly payment, 'M', is given as follows;
M =
The total amount paid over the loan term = Cost of the mortgage
Therefore, we have;
220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)
[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]
The minimum monthly payment for the loan, M ≈ $1,519.28
The total amount paid over loan term, A = n × M
∴ A ≈ 180 × $1,519.28 = $273,470
The total amount paid over loan term, A ≈ $270,470
B. When t = 20 year and r = 6%, we have;
n = 12 × 20 = 240
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]
The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276
The monthly payment, M = $1,576.15
C. When t = 30 year and r = 5%, we have;
n = 12 × 30 = 360
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]
The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163
The monthly payment, M ≈ $1,181.01
The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability
Therefore;
The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;
The total amount paid over the loan term = $270,470
I need help ASAP!!
The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?
Answer:
i think its 6
Step-by-step explanation:
i dont know for sure
A cylinder has a radius of 10 m and a height of 8 m.
What is the exact volume of the cylinder?
A. 187 m
B. 807 m
C. 160 m
D. 800 m
Answer:
D. 800 m
Step-by-step explanation:
Volume of a cylinder is πr²h
Here, r=10 h=8
so the volume is
=π x 10² x8
=π x 100 x 8
=800m
The answer is 800m
Answer:
[tex]D[/tex]
Step-by-step explanation:
[tex]Volume[/tex] [tex]of[/tex] [tex]cylinder[/tex] ≈ [tex]\pi[/tex] [tex]radius^{2}[/tex] × [tex]height[/tex]
[tex]Volume[/tex] ≈ [tex]\pi[/tex] × [tex]10^{2}[/tex] × 8 [tex]800\pi[/tex]
[tex]so[/tex] [tex]it[/tex] [tex]is[/tex] [tex]D[/tex]
What is the simplest form of the fraction below?
24/36
Answer:
2/3
Step-by-step explanation:
file:///C:/Users/USER/Downloads/Documento%20sin%20t%C3%ADtulo%20(5).pdf
Answer:
Hm
Step-by-step explanation:
In the diagram, mZXYZ = 115° and mZWXY = 45°.
Step-by-step explanation:
mXYZ+mXYW=180°(being straight angle)
mXYW =180-115
mXYW=65
now,
mXWY+mWXY+mXYW=180°(sum of angle of triangle)
mXWY=180-110
mXWY=70°
hope it helps.
The measure of the angle ∠XWY of the triangle is ∠XWY = 70°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔXYZ
And , the measure of ∠XYZ = 115°
Now , the measure of ∠WXY = 45°
So , the measure of ∠XYW = 180° - 115° ( angles on a straight line = 180° )
And , the measure of ∠XYW = 65°
Now , the measure of ∠XWY = 180° - ( 45° + 65° ) ( angles in a triangle = 180° )
On simplifying , we get
The measure of angle ∠XWY = 70°
Hence , the angles of the triangle is solved
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ7
is 2/10 equivalent to 20/100
Answer:
Yes it is
Step-by-step explanation:
You know it is equal because 2/10 is equal to .20 or .2
Answer:
I’m sure they are both equivalent to 1/5
Step-by-step explanation:
Help I’ll mark Brainly est
Answer:
c
Step-by-step explanation:
it's c I think hmm maybe
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES
Answer:
Hello, the answer for your question is c (the expression has a variable in the denominator of a fraction)
Step-by-step explanation:
Find the value of z in rhombus ABCD.
Liz can paint a house in 13 hours. Carlos can paint the same house in 11 hours. How long would it take to work together?
5 hours and 40 min
5 hours and 13 min
5 hours and 22 min
5 hours and 58 min
Answer:
5.9 hours
Step-by-step explanation:
1/13+1/11=1/x
looking for x
x= 5.9
are you clear?
A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the population be after 9 years?
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
what is the anwser for 7x−x
Answer:
6x
Step-by-step explanation:
7x - x
6x
DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9
Answer: The answer is b !
Hope the image helps
gffdsfsdsfghjkjhgfdsasdfgbhnj utefjfifkcryekxe
Answer:
HUh? LOL
Step-by-step explanation:
Answer:
rnfjewjsknfkrngejabjfkba re
Step-by-step explanation:
what is 18/5 written as a mixed number please helpppp I'll mark you brainliest
Answer:
3,3/5
Step-by-step explanation:
Think 18 divided by 5 but don't get a decimal you get 3 remainder 3. Since you divided it by 5 it will be 3, 3/5
I have alot of questions and I need help with a practice quiz
ok imma help u just it should not be chem
Find the intercepts of the linear function: -3 = 3y – 3.2
Answer:
The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)
Step-by-step explanation:
To find the y-intercept, set x = 0 (which is the y-axis) and find y:
-3 = 3y - 3.2
Add 3.2 to both sides, to isolate 3y:
0.2 = 3y
Dividing both sides by 3 yields y = 0.06667
The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)
Find the value of the ratio.
Can someone help please???
A swim team ordered 36 jackets that each cost the same amount.
The total cost of the order was $1,116. Let c = the cost of each jacket.
How much did each jacket cost? Choose ALL of the division equations and
multiplication equations that represent this problem.
1,116c = 36
1,116, c, = 36
c = 1,116 • 36
c, = 1,116 • 36
36c = 1,116
36, c, = 1,116
1,116 ÷ 36 = c
Answer:
the cost of each jacket is 31$
PLEASE HELP ME
A student bought 24 pencils for every 16 markers. The number of pencils bought is directly proportional to the number of markers.
What is the constant of proportionality that relates the number of pencils to the number of markers?
5/3
2/3
3/2
3/5
Find the slope (m) and y-intercept (b) for
y = 4x - 8.
Answer:
the slope, m, is 4 and that the y-intercept, b, is -8
Step-by-step explanation:
Compare the given equation to the slope-intercept form y = mx + b. Here we see that the slope, m, is 4 and that the y-intercept, b, is -8.
Which expression is a factor of 9r^2 - 4r + 1?
F 3r-1
G r- 1
H- 9r- 1
J- There are no real factors.
9514 1404 393
Answer:
J- There are no real factors.
Step-by-step explanation:
For quadratic ax^2 +bx +c, the discriminant is ...
d = b^2 -4ac
d = (-4)^2 -4(9)(1) = 16 -36 = -20
When the discriminant is negative, there are no real factors.
Answer: there are no real factors
Step-by-step explanation:
Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.
Answer:
the answer would be 3 1/2
Step-by-step explanation:
if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2. And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.
Which is the greatest common factor of
84 and 60?
A 4
B 6
© 12
D
24
Answer:
12
Step-by-step explanation:
I have a picture with the question plz help I've been stuck on this
Answer:
i'm pretty sure it's 4
Step-by-step explanation:
you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4