To calculate Nick's monthly mortgage payment, determine the loan amount, convert the interest rate to a monthly rate, and use the formula for fixed mortgage payments. The monthly payment for Nick's mortgage is $467.72.
The monthly payment can be calculated using the loan amount, interest rate, and loan term.
Calculate the loan amount: $145,500 × 75% = $109,125.
Convert the annual interest rate to a monthly rate: 3.15% ÷ 12 = 0.2625%.
Plug the values into the formula for fixed mortgage payments: [tex]$109,125*\frac{0.002625*(1+0.002625)^{30*12}}{(1+0.002625)^{30*12}-1}[/tex]
The monthly payment for Nick's mortgage is $467.72.
The correct answer is option C. The monthly payment for Nick's mortgage is $467.72.
First, we calculate the mortgage amount, which is 75% of the purchase price:
[tex]\[ \text{Mortgage amount} = \frac{75}{100} \times \$145,500 = \$109,125. \][/tex]
Next, we convert the annual interest rate to a monthly interest rate:
[tex]\[ \text{Monthly interest rate} = \frac{3.15\%}{12} = \frac{0.0315}{12} \approx 0.002625. \][/tex]
Now, we use the formula for the monthly payment (M) on a fixed-rate mortgage, which is given by:
[tex]\[ M = P \times \frac{r(1 + r)^n}{(1 + r)^n - 1}, \][/tex]
where P is the principal loan amount, r is the monthly interest rate, and n is the number of payments (30 years times 12 months per year).
So, we have:
[tex]\[ P = \$109,125, \][/tex]
[tex]\[ r = 0.002625, \][/tex]
[tex]\[ n = 30 \times 12 = 360. \][/tex]
Plugging these values into the formula gives us:
[tex]\[ M = \$109,125 \times \frac{0.002625(1 + 0.002625)^{360}}{(1 + 0.002625)^{360} - 1}. \][/tex]
Calculating this expression yields:
[tex]\[ M \approx \$467.72. \][/tex]
The complete question is:
Nick's new home had a purchase price of $145,500. He got a 30-year fixed mortgage for 75% of the purchase price. The interest rate on the loan is 3.15%. What is his monthly payment?
A. $3,437.44
B. $1,145.81
C. $467.72
D. $109.13
E. $145.50
If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him. Why?
People are less likely to obey people that are just like themselves.
People are more likely to obey someone who represents authority.
People are less likely to obey others who are currently in school.
choices a and b
Answer:
I think the awnser should be a.
Step-by-step explanation:
This is because people usally find interests in things that percieve them. Since I am in freshmen I can tell how you feel. If you want to be a leader make choices that affect people personally, and don't make them feel bad.
Answer:
A is the answer.
Step-by-step explanation:
If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him.
This is because - People are less likely to obey people that are just like themselves.
People are more likely to obey someone who represents authority. This cannot be the answer as the kid has not been declared authority by the school or he is not elected by the students. A random kid self electing himself will not be taken seriously by the kids.
So, option A can be the answer.
8n = 56 help me solve n ???
Hello There!
8n =56
Remember when a variable is next to a number that means multiply so we know that multiply 8 by some number is equal to 56.
Using our multiplication facts.
8*7=56
So that means N = 7
Answer:
7
Step-by-step explanation:
Divide each term by 8 and simplify
What is the value of b in this diagam?
Answer:
b = 8
Step-by-step explanation:
Given : A triangle with side a= 12 , b = 6.33 and angles.
To find : What is the value of b in this diagam.
Solution : We have given that side a= 12 , b = 6.33
Angle A = 113.17
Angle B = 37.81 .
By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].
[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].
[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].
On cross multiplication
b * 0.919 = 12 * 0.613 .
b * 0.919 = 7 .356
On dividing by 0.919
b = 8.004
Therefore, b = 8.
Answer:
B=8
Step-by-step explanation:
Which are the independent events? Check all that apply
Answer:
Independent events are those that do not depend on others. Two entities does not depend on each other. The change in one entity does not change the other.
So, independent events here are-
1. rolling a number cube twice.
2. flipping a coin 4 times.
3. choosing a meal combination.
Rest two options are dependent on each other.
Answer:ACD
Step-by-step explanation:
Edgy
Solve: 2(x - 4) = 4(2x + 1)
Answer:
x=-2
Step-by-step explanation:
2(x - 4) = 4(2x + 1)
Distribute
2x -8 = 8x+4
Subtract 2x from each side
2x-2x-8 = 8x-2x+4
-8 = 6x+4
Subtract 4 from each side
-8-4 = 6x+4-4
-12 = 6x
Divide by 6
-12/6 = 6x/6
-2 =x
Ms. Alvarez has $1482 to spend on origami paper. how many packs can she buy
a certain amount of paper
The graph shows the total cost (y) of producing x motorbike engines.
Complete the following sentences based on the graph.
The equation of the line is y = .
The total cost of producing 50 engines is .
option 1
0.2x+2
0.25x+2
0.4x+2
1.2x+2
option 2
$12,250
$14,750
$14,500
$15,000
Answer:
1) Second option: [tex]y=0.25x+2[/tex]
2) Third option: $14,500
Step-by-step explanation:
1) The equation of the line in Slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
You know the point (20,7) of the line and you can observe in the graph that the y-intercept is:
[tex]b=2[/tex]
Then, you can substitute these values into the equation [tex]y=mx+b[/tex]
and solve for the slope "m":
[tex]7=m(20)+2\\\\7-2=20m\\\\m=\frac{5}{20}\\\\m=0.25[/tex]
Therefore, the equation of this line is:
[tex]y=0.25x+2[/tex]
2) To calculate the total cost of producing 50 engines, you need to substitute [tex]x=50[/tex] into the equation of the line [tex]y=0.25x+2[/tex]. Then you get:
[tex]y=0.25(50)+2[/tex]
[tex]y=0.25x+2[/tex]
[tex]y=14.5[/tex]
Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:
$14,500
Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?
ANSWER
a=9
EXPLANATION
The given quadratic equation is
[tex] {(x + 2)}^{2} = a[/tex]
If x=1 is a solution, then it must satisfy this equation:
[tex]{(1 + 2)}^{2} = a[/tex]
[tex] {3}^{2} = a[/tex]
[tex]a = 9[/tex]
Therefore the value of 'a' is 9
Answer:
answer is A
Step-by-step explanation:
Write the expression using a single exponent 2^2•2^8
A.4^10
B.2^10
C.4^16
D.2^16
i think it’s B but i’m not for sure
I think it’s C. 4^16,
PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!
Answer:
y = 6x - 40
Step-by-step explanation:
the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first number. Set these numbers
Answer:
Step-by-step explanation:
2x+x+3(2x)=63
3x+6x=63
9x=63
9x/9=63/9
X=7
2x=14
3(2x)=42
what does one centimeter equal
[tex]1\text{cm}=1\cdot10^{-2}\text{m}=10^{-2}\text{m}[/tex]
Answer:
Step-by-step explanation:
1 cm = 10 mm = 0.01 m = 0.00001 km
Given that (9,-8) is on the graph of f(x), find the corresponding point for the function f(3/4x)
Answer:
The corresponding point for the function f(3/4 x) is (12 , -8)
Step-by-step explanation:
* Lets revise the horizontal stretch or compress
- A horizontal stretching is the stretching of the graph away from
the y-axis
- A horizontal compression is the squeezing of the graph toward
the y-axis.
# if k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally
compressed by dividing each of its x-coordinates by k.
# if 0 < k < 1 (a fraction), the graph y = f(k·x) is the graph of f(x)
horizontally stretched by dividing each of its x-coordinates by k.
* Now lets solve the problem
- The function f(x) will be the function f(3/4 x)
∵ The x multiplied by a constant
∴ f(x) stretched or compressed horizontally
∵ f(x) ⇒ f(k · x)
∵ f(x) ⇒ f(3/4 x)
∴ k = 3/4 ⇒ less than 1
∵ 0 < k < 1
∴ f(x) starched horizontally
∴ Divide each of its x-coordinates by k
∵ k = 3/4
∴ Divide each of its x-coordinates by 3/4
∵ Point (9 , -8) is on the graph of f(x)
- Find the corresponding point on the graph f(3/4 x) by dividing
x-coordinate by 3/4
∵ x = 9
∴ The corresponding x = 9 ÷ 3/4 = 9 × 4/3 = 36/3 = 12
∴ The corresponding point is (12 , -8)
Andrew wrote the number 186425,on the board in which number is the value of the digit 6 exactly 10 times of the value digit 6 in the number Andrew wrote?
A. 681,452
B. 462,017
C. 246,412
D. 125,655
Answer:
B
Step-by-step explanation:
The digit 6 in Andrew's number is worth 10 times less than the digit six in the other number. This means that the six will be shifted over one place to the left. The only number with a 6 in that position is B, 462,017.
It's B that's correct.
In 186425, the 6 is 6 thousands or 6000
Twice that amount has to be a digit in the ten thousands place.
When you check the choices, you'll see that the number 462, 017 is exactly 10 times of the value digit 6 of Andrew's number
What is the input value for the following function if the output value is 5? y = x - 3
The input value is the x value, and the output value is the y value.
You know y = 5, so you can plug it into the function to find the input:
y = x - 3 Plug in 5 for y
5 = x - 3 Add 3 on both sides
5 + 3 = x - 3 + 3
8 = x
Answer:
8
Step-by-step explanation:
y= x -3
to get the Anwer I got i Subtracted
Because the output value is supposed to be five so?
5= x-3
Well 2 does get 5 if you add 2+ 3 together!
but if you subtract 3 -2 you get 1..
and 5 - 3 = 2 not 5
and adding 8 + 3 is 11 but subtracting it is 5!
which is
5= 8 - 3
A parabola is the set of all points that ?
In a plane such that the distance from these points to a fixed point
Answer:
A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.
A parabola is the set of all points in the plane equidistant from directrix and focus.
Step-by-step explanation:
A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.
The line is called directrix and the point is called focus.
So a parabola is the set of all points in the plane equidistant from directrix and focus.
find the area of the figure
50cm^2
127cm^2
144.5cm^2
172cm^2
Answer:
this gives you 144.5cm^2 and that is your answer
I hope my answer has come to your helpanswerStep-by-step explanation:
The area of the given figure is Option(C) 144.5 square centimeter.
What is the area of the given figure in the diagram ?In the diagram given aside, two shapes are mentioned one is a rectangle and other is a right-angled triangle.
The area of the rectangle is given by - length*breadth
The area of the right-angled triangle is given by - 1/2*base*height
In the given figure, length = 13cm , breadth = 9cm , base = 11cm and height = 5cm
⇒ Total area = length*breadth + 1/2*base*height
⇒ Total area = 13*9 + 1/2*11*5 square centimeter
⇒ Total area = 117 + 27.5 square centimeter
∴ Total area = 144.5 square centimeter
Therefore, the area of the given figure is Option(C) 144.5 square centimeter.
To learn more about area of figure, refer -
https://brainly.com/question/1090412
#SPJ2
Julien interviewed his classmates on which course they prefer and which animal they prefer. What percentage of cat lovers also prefer French?
Answer:
66.6%
Step-by-step explanation:
Different groups of 50 graduates engineering were ask the starting annual salary of their first entering job after graduation, and the sampling variability was low. If the average salary of one of the groups was $53,000, which Of these is least likely to be the average salary of another of the groups? A- $54,000 B- $53,000 C- $55,000 D- $41,000
Answer:$41,000
Step-by-step explanation:
Answer:
least likely option comes out to be option D.
Step-by-step explanation:
correct answer is option D.
As in the question it is given that the average salary of one group is $53,000.
and,
it is also stated that the sampling variability is very low which means the deviation from the mean will be very low .
when look at the options all the option A , B , C are very much closer to $53,000 and the only option left is $41,000 which is very much deviated
hence,the least likely option comes out to be option D.
Choose the right answer which year had higher profit in month 3 ?
Answer:
Where is month 3 I will comment the answer if there is a graph or table to know!!! For house for economics. Sorry I don't understand...
Step-by-step explanation:
Answer:
Last year
Step-by-step explanation:
The question is:
Which year had a decrease in profit between months 3 and 4?
The answer is last year
I hope this helps!
The average number of people at a concert over 3 nights is 125. On the first night, there were 151 people at the concert. The same number of people attended the second and third night. How many people attended on each of the second and third nights?
Answer:
164 people
Step-by-step explanation:
Let's say x = # of people in night 2 and 3
Average = (n₁ + n₂ + n₃ + ...)/n
Plug in known numbers: (125 + x + x)/3 = 151
Multiply + simplify: 125 + 2x = 453
Subtract: 2x = 328
Divide: x = 164
Final answer:
To determine the number of people who attended the concert on the second and third nights, an equation based on the average attendance was formulated and solved, resulting in 112 people attending each of those nights.
Explanation:
To solve this problem, we need to find out how many people attended the concert on the second and third nights. Since we know the average number of people for the 3 nights was 125 and there were 151 people on the first night, we can set up an equation to find the number attending on the other nights.
Let the number of people who attended on the second and third nights be x each. The total number of people over the three nights is then 151 + x + x (since the same number of people attended the second and third nights). To find this number, we multiply the average number of people (125) by the number of nights (3).
We get the equation:
125 * 3 = 151 + x + x
375 = 151 + 2x
375 - 151 = 2x
224 = 2x
x = 112
Thus, 112 people attended the concert on each of the second and third nights.
It’s possible to build with side lengths 3,3,9
NO!
3+3 > 9
This does not form a triangle.
Select one of the factors of the quadratic expression.
x2 + 5x - 14
Answer:
(x + 7) or (x - 2)
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2, since
7 × - 2 = - 14 and 7 - 2 = + 5, hence
x² + 5x - 14 = (x + 7)(x - 2)
Find the zeros for (x+2)(x-4)
Answer:
x = -2 or x = 4Step-by-step explanation:
The zeros:
(x + 2)(x - 4) = 0 ⇔ x + 2 = 0 or x - 4 = 0
x + 2 = 0 subtract 2 from both sides
x = -2
x - 4 = 0 add 4 to both sides
x = 4
2.
If a mouse eats grass seeds, the mouse is a _____.
producer
herbivore
decomposer
carnivore
Answer:
Herbivore
Step-by-step explanation:
The mouse isnt a producer because he cannot make his own food
The mouse isnt a carnivore because he isnt eating meat
The mouse isnt a decomposer because he isnt breaking down dead or decaying organisms
Herbivores are animals that eat vegetables or greens/plants but not meat.
Answer:
herbivore
Step-by-step explanation:
please answer ASAP! will give brainlist.
If line S and line T are parallel lines cut by transversal line R, what is the value of X?
A. X = 12
B. X = 18
C. X cannot be determined from the information given.
D. X = 33
Answer:
B
Step-by-step explanation:
120+4x-12=180, 4x+108=180,4x=72, x=18
4x-12=120
4x-12+12= 120+12
4x= 132
divide by 4 for 4x and 132
4x/4= 132/4
x= 33
check answer by using substitution method
4x-12=120
4(33)-12= 120
132-12= 120
120= 120
Answer is x= 33 (D.)
Find the value of c .
5/2 = c/22
c = ___.
Answer:
c = 55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
I did this and it was correct please vote me as brainlies!
Hope this helped! :)
PLEASE HELP!!
Find the exact circumference of the circle.
Answer:
B
Step-by-step explanation:
Can someone help me please
Answer:
AD||BC
Step-by-step explanation:
Given:
m∠3=m∠B
And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel
Hence the lines AD and BC are parallel
AD||BC !
What is the value of x, when 3x^2=18 3/4?
Multiple choice is up above. I promise to mark brainlest!!
Answer:
Option B is correct
Step-by-step explanation:
We need to solve the equation 3x^2 = 18 3/4 to find the value of x
3x^2 = 18 3/4
Converting mixed fraction into fraction form
3x^2 = 75/4
Dividing both sides by 3
3x^2/3 = 75/4*3
x^2 = 75/12 (dividing numerator and denominator by 3 which is common factor)
x^2 = 25/4
Taking square root on both sides to find value of x
√x^2 = √25/4
x = ± 5/2
x = ± 2 1/2
So, Option B is correct.