Chris is purchasing a house and needs to finance a $150,000 mortgage from the bank with an annual percentage rate (APR) of 3.8% He is financing it over 30 years and making monthly payments. what is the monthly payment?
answer choices:
$416.67
$698.94
$833.33
$1393.88

Answers

Answer 1

$698.94

Step-by-step explanation:

M = P [r (1 + r) ∧n / ( (1 + r) ∧n) - 1) ]

P = the principal loan amount = $150,000

Annual percentage rate = 3.8%

r = monthly interest rate = 0.038 / 12 = 0.003166

Term in years = 30

n = number of payments over the loan’s lifetime monthly = 30 * 12 = 360

M = the total monthly mortgage payment

Using the formula,

M = 150,000 [0.003166 (1 + 0.003166)∧360 / ((1 + 0.003166)∧360) - 1]

M = 150,000 [(0.003166 * 3.120394) / (3.120394 - 1)]

M = 150,000 [0.009880 / 2.120394‬]

M = 150,000 * 0.004660 = $699 (rounded up value)

As per mortgage calculator we get the exact value

M = $698.94


Related Questions

6,000(1-(1+0.06)‐³²)/0.06(1+0.06)​

Answers

Answer:

79716.98

Step-by-step explanation:

Woahhhhhh numbers

Step-by-step explanation:

I don’t know.

Given the point (-5,6), what is the value of the y-coordinate?
The y-coordinate of the point is
(Type an integer or a decimal.)

Answers

Answer:

  6

Step-by-step explanation:

The numbers in an ordered pair are usually (x, y). That is, the y-value comes second in the pair.

The second number in your ordered pair is 6. The y-coordinate is 6.

How many different triangles can you make if you’re giving the measurements for two sides and the angle between those sides

Answers

Answer:

1

Step-by-step explanation:

What was the origin of the territorial dispute over Taiwan

Answers

Answer:

The territorial dispute over Taiwan originated in 1949 when the Chinese people fled to Taiwan due to the complete control of Communists in Mainland China.

Explanation:

The event happened after the "Chinese Civil War," a war between the Kuomintang and the Communist Party of China (CPR). This resulted to many Chinese people fleeing from Southern China to Taiwan in order to prevent the advances of the Communist Party. This was also a sign of retreat from the war.

Moving to Taiwan from China took 4 months and this was meant to be a temporary solution rather than being permanent. However, the plan could not be realized thus, resulting to many Chinese people living in Taiwan until today.

So, this led to the controversial issue that Taiwan is, somehow, part of China. In connection with this, territorial disputes arose whether Taiwan should be unified with Mainland China.

Find the sum of 8 + 11 + 14 + ... + 602 + 605.

Answers

Answer:

61300

Step-by-step explanation:

A segment is dilated, and the resulting segment is shorter than the original.
Which of the following options could be the scale factor of the dilation?
Select all that apply.

3/8

1

5

1/5

Answers

Answer:

3/8 and 1/5

Step-by-step explanation:

If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.

hope this helped :)

Answer:1/5 and 3/8

Step-by-step explanation:

Kevin and Marcus were comparing their ages. The same of their ages was at least 9 years but was at most 24 years. If Kevin is 6 years old, which of the following inequalities represents all possible values for Marcus age, m?

Answers

The inequality that represent age of marcus is:

[tex]24\geq 6+m\geq 9[/tex]

The possible values for age of Marcus is:

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Solution:

Given that,

The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years

Kevin is 6 years old

Let "m" be the age of Marcus

Thus we frame a inequality as:

[tex]24\geq \text{ sum of ages } \geq 9[/tex]

at least 9 years means that "greater than or equal to 9"

at most 24 years means "less than or equal to" 24

From given,

Sum of ages = kevin age + marcus age

Sum of ages = 6 + m

Thus the inequality is:

[tex]24\geq 6+m\geq 9[/tex]

Solve the inequality

[tex]\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately[/tex]

[tex]24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18[/tex]

Now solve another inequality

[tex]6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18[/tex]

[tex]24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}[/tex]

Thus possible values for age of Marcus is:

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

this is how dora subtracts 73-26. 73-3=70. 70-?=50. ?-?=? fill in the blanks to solve

Answers

Answer:

73-3=70

70-20=50

50-24=26

Final answer:

To solve 73-26, subtract 3 from 73 to get 70. Then, subtract a number from 70 to get 50. The missing number is 20.

Explanation:

To solve the equation 73-26, we can subtract it step by step. The first step is to subtract 3 from 73, which equals 70. The next step is to subtract a number from 70 to get 50. To find that number, we subtract 50 from 70, which is 20. So, the missing number is 20.

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Kelsey solved the following equation:

7x − one over two (8x + 2) = 6


Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3


Which of the following has all of the correct justifications Kelsey used to solve this equation?

Answers

The correct justifications Kelsey used to solve this equation is:

1. distributive property

2. combine like terms

3. addition property of equality

4. division property of equality

Solution:

Given that,

Kelsey solved the following equation:

[tex]7x - \frac{1}{2}(8x+2) = 6[/tex]

Step 1:

By distributive property,

a(b + c) = ab + bc

Therefore,

[tex]7x - (\frac{1}{2} \times 8x)+( \frac{-1}{2} \times 2)= 6\\\\7x - 4x - 1 = 6[/tex]

Step 2:

Combine the like terms

7x - 4x - 1 = 6

3x - 1 = 6

Step 3:

Addition property of equality

The property means that when we add the same number to both sides of an equation, the sides remain equal

3x - 1 = 6

Add 1 on both sides

3x - 1 + 1 = 6 + 1

3x = 7

Step 4:

Division property of equality

The Division Property of Equality means that when we divide both sides of an equation by the same non zero number, the sides remain equal

3x = 7

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{7}{3}\\\\x = \frac{7}{3}[/tex]

Thus the correct justifications Kelsey used to solve this equation is:

1. distributive property. 2. combine like terms. 3. addition property of equality. 4. division property of equality

Answer:

I took the test it is  1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Find the slope of the following and then write the equation

Answers

Answer:

See explanation

Step-by-step explanation:

Assuming we want to find the slope and equation of the line going through:

(0,1) and (1,2).

Then the slope is given by:

[tex]m = \frac{2 - 1}{1 - 0} [/tex]

This implies that:

[tex]m = 1[/tex]

The equation is given by:

[tex]y = mx + b[/tex]

Where b=1 is the y-intercept since the line passes through (0,1).

Hence the equation is:

[tex]y = x + 1[/tex]

PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest)

Iliana rotated trapezoid WXYZ 180° about the origin.
*graph below*
What is the correct set of image points for trapezoid W’X’Y’Z’?

Answers

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

I hope this helps you. If you can give brainliest that would be greatly appreciated.

Answer:

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

look at picture

Solve the system of linear equations below.
2х + Зу = 2
х+ 6у = 4
А. x = 0, y=2/3
Bх = 2, y = -2/3
C. х = 4/3, у=2/9
D. x = 4, y = -2

Answers

The answer is A

Multiply the 2nd equation by -2
-2x -12y = -8
Then add it to the 1st equation
-9y = -6
y = 2/3
By substituting in the 1st equation
2x + 3(2/3) = 2
2x = 0
x=0

a line with a slope of -3 and an x-intercept of 15 passes through wich of the following points
A. (0,30)
B. (5,15)
C. (10,10)
D. (−5,60)

Answers

B.(5,15) 5 and 15 are multiples of 3

The Answer is D) because it is

A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same sized candy box together with 3/4 pound weight on the other pane. How much did the full box of candy weight.

Answers

Answer:

Step-by-step explanation:

i'm pretty sure that you will have to add it.

so, when we add two fractions such as 3/4 + 3/4, we make sure that the denominators (the bottom numbers) are the same and then we simply add the numerators (the  top numbers).

in this problem, the denominators are the same so we will simply add 3+3 which equals to 6/4. the denominator will remain the same.

               answer:

                      3/4 + 3/4    =   6/4

i hope this is helpful.

The required weight of the candy box is 3 pounds.

Given that,
A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same-sized candy box together with 3/4 pound weight on the other pane.
To determine how much the full box of candy weighs.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the weight of the candy box be x,
3/4 of the same-sized candy box
weight = 3/4 pound
x = 3/4x + 3/4
x / 4 = 3/4
x = 3

Thus, the required weight of the candy box is 3 pounds.

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Evaluate the expression 1/3(4+18) -2 squared

Answers

Answer:

  Evaluate the expression 1/3(4+18) -2 squared

Step-by-step explanation:

First of all we will add brackets to understand the question as:

= ((1/3) * (4+18) - (2 squared))

= ((1/3) * ( 22) -  2² )

According to Math's rule that Multiplication and division must be completed before addition and subtraction.

=  (( 1/3 * 22) - 4 )

= (( 7.33) - 4 )

= ( 7.33 - 4 )

= 3.33

3.33 is the correct answer.

A function is given:

f(x) = 3x + 12

a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
WILL GIVE BRAINLIEST PLEASE EXPLAIN WELL
100 POINTS

Answers

Answer:

Step-by-step explanation:

hello :

a)

let  f(x) = y     so : x = g(y)

in expression = f(x) =3x+12

means : y = 3x +12  calculate : x

3x = y -12

x = (1/3)y - 4

the inverse is : g(x) = (1/3)x - 4

b)f(g(-2) = f(-14/3)

because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3

so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2

1. The inverse of the function is g(x) = (1/3)x - 4.

3. The value of f(g(–2)) is -2.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)= 3x+ 12

1. let  f(x) = y then x = g(y)

y = 3x+ 12

y- 12 = 3x

x= y/3 + 4

So, the inverse of the function is g(x) = (1/3)x - 4.

2. For showing the function are inverse we have to that  

(fog)(x) = f(g(x)) =x and (gof)(x) =g(f(x)) = x

Take (fog)(x) = f(g(x))

= f( (1/3)x - 4.)

= 3 ((1/3)x - 4) 12

= x - 12 + 12

= x

Now, (gof)(x)

=g(f(x))

= g(3x+ 12)

= (1/3) ( 3x+ 12) -4

= x + 4 - 4

= x

3. f(g(-2))

So,  g(-2)

= (1/3)(-2)-4

= -2/3-4

= -14/3

Then, f(g(-2)) = f(-14/3)

=3(-14/3)+12

= - 2

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PLEASE HELP ME FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
The following data set is graphed on a coordinate plane: (10,45), (25,70), (46,105). If the y-intecept of the line of best fit is at 28.5 ,what would be the most reasonable slope of line: 1/3, 5/3, or -4/3? Show/explain how you know.​

Answers

Slope is the change in Y over the change in. X

Using two of the given points:

Slope = 70-45 / 25-10

Slope= 25/ 15

Slope = 5/3

3(p-3) – 5p>-3p- 6
How do u solve?

Answers

Answer:

p>3

Step-by-step explanation:

<=> 3p - 9 - 5p > -3p - 6

<=> -2p + 3p > -6 + 9

<=> p > 3

To solve the inequality 3(p-3) - 5p > -3p - 6:

Simplify and combine like terms to get p > 3 as the solution.

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

The given expression is:

3(p-3) – 5p>-3p- 6

Distribute the 3 to the terms inside the parentheses:

3p - 9 - 5p > -3p - 6

Combine like terms on both sides of the inequality:

-2p - 9 > -3p - 6

Move all the terms containing p to one side by adding 3p to both sides: -2p + 3p - 9 > -6

Simplify:

p - 9 > -6

Move the constant term to the other side by adding 9 to both sides:

p - 9 + 9 > -6 + 9

Simplify: p > 3

Hence,

The solution of the given inequality is p > 3.

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Write the equation y-2=6x+3 in y=mx+b form

Answers

Answer:

y=6x+5

Step-by-step explanation:

y-2=6x+3

y=6x+3+2

y=6x+5

There are 95 students who have applied for a scholarship.
If there are 41 men and 36 minorities, 19 of whom are
women, how many women applied for the scholarship?

Answers

Answer:

37

Step-by-step explanation:

Students who applied or a scholarship=95

Of that:

Men= 41

Minorities= 36

Minorities who are women= 19

Minorities who are men = 36-19=17

Women+ Minorities who are women=Students who applied or a scholarship-(Men+Minorities who are men)

x + 19=95-(41+17)

x+19=95-58

x+19=37

x= 37-19

x=18

Women who are NOT minority=18

Total women=Minorities who are women+Women who are NOT minority

Total women=18+19

Total women=37

Final answer:

By understanding the problem as a basic arithmetic problem, we determine there are 54 women who applied for the scholarship by subtracting the number of men (41) from the total number of students (95).

Explanation:

To resolve the question, 'how many women applied for the scholarship', it's essential to understand the problem as a basic addition and subtraction problem. The numbers provided in the question give us initial points. It's stated that there are 41 men who applied, and if there are 95 students in total, we can calculate the total women by subtracting the number of men from the total. So, 95 total students - 41 men = 54 women. This calculation gives us the number of women that applied for the scholarship.

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Ashley is deciding between two jobs. Job A pays $2000 per month with a monthly raise of $85. Job B pays $2000 per month with a monthly raise of 4%. Write a function to represent the monthly salary for Job B after x months.

Answers

Final answer:

The monthly salary for Job B after x months, which includes a 4% monthly raise, can be represented by the exponential function S(x) = 2000 * (1 + 0.04)^x, where S(x) is the salary and x is the number of months.

Explanation:

To represent the monthly salary for Job B after x months, we need to account for the 4% raise each month. Since the starting salary is $2000, and the raise is 4% (or 0.04 in decimal form) of the previous month's salary, the function to represent the monthly salary can be written using a geometric sequence formula.

Let S(x) be the salary at month x. The function will be an exponential function in the form:

S(x) = 2000 * (1 + 0.04)^x

Here, 2000 is the initial salary, 0.04 represents the 4% raise, and x is the number of months that have passed.

When is a zero not significant?
O
A. When it comes after the decimal point, as in 4.000
O
B. When it is included in scientific notation, as in 3.04 x 10-2
O
C. When it precedes a non-zero digit but falls after a decimal point,
as in 0.0004
O
D. When it falls between two non-zero digits, as in 4.09

Answers

Answer: A. When it comes after the decimal point, as in 4.000

Step-by-step explanation: If there are no other numbers after the zeros, there is no reason for them to be place holders. Zeros in decimals act as place holders such as in 4.09 or 4.0009. This actually does change the value of the decimal but 4.000 is just the same as a regular old 4. Hope this helps!

A when it comes after the decimal point , as in 4.000

A jar contains 12 caramels, 7 mints and 16
dark chocolates. What is the probability of
selecting a mint expressed as a fraction?

Answers

Answer:

Step-by-step explanation:

Add the three digits together:

12+7+16=35

7/35, or 1/5.

WILL GIVE BRAINLIEST You can draw a quadrilateral with no parallel lines and at least one right angle. True/ False

Answers

Answer:

True because a right angle can't exist with any parallel lines.

Answer:

true hope this helped.

Step-by-step explanation:

How do you write nine and two hundred thirty five thousandths?

Answers

Answer:

9.235

Step-by-step explanation: There you g. Hope it helps!

Find the equation of the line with slope m = 3/2 that contains the points (2,1).

Answers

Answer:

y=3/2x-2

Step-by-step explanation:

m=3/2 A(2,1)=A(x1, y1) ... x1=2,y1 =1

y-y1=m(x-x1)

y-1=3/2(x-2)

y-1=3/2x-3/2*2

y-1=3/2x-3

y=3/2x-3+1

y=3/2x-2

Check your answer for 3(p+2)=18

Answers

3(p + 2) = 18

3p + 6 = 18

3p = 12

p = 4

Check:

3(p + 2) = 18

3(4 + 2) = 18

3(6) = 18

18 = 18

This proves that p = 4.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Answer: p = +4

Step-by-step explanation: To solve this equation for p, our first step is to distribute the 3 through the parentheses on the left side.

3 times p is 3p and 3 times 2 is 6.

So we have 3p + 6 = 18.

Next, we need to isolate the p term by subtracting 6 from both sides of the equation to get 3p = 12.

Finally, we divide both sides of the equation by 3 to get p = +4.

$239 television; 10% discount

Answers

answer: $215.10

the TV's original price is $239, but with 10% off, it is now 90% of the original price. therefore we have to find 90% of 239:

0.90*239=215.10

Answer:

215.10 here ya go

What situation can be represented by the expression-3 + 3?

A. Nancy owes $3 on an account and then withdraws another $3.

B. Jason pays $3 on the $3 he owes in fines.

C. There is a change in temperature from -3 degrees F to 0 degrees F.

D. A toy car travels at a rate of 3 meters per minute for 3 minutes.

E. Teri’s score in a word game is 0 after scoring 3 points.

My son has chosen C and E as the answers. Correct?

Answers

correct, c and e. they are the only ones that make sense

Answer:

Step-by-step explanation: It B

-3 + 3 = 0

I am a fraction that is greater than 1 but less than 2 the sum of my numerator and denominator is 11 my denominator subtracted from my numerator is 1 what fraction am I

Answers

Answer:

that fraction is an improper fraction I think.

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