A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30-year mortgage, how much can they borrow?

Answers

Answer 1
Answer:    $189,383.96

========================================================

Explanation:

r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700

We'll plug those items into the formula below.

L = loan amount

L = P*( (1+i)^n - 1)/( i*(1+i)^n )

L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )

L = 189,383.961539639

L = 189,383.96

The couple can afford to borrow at most $189,383.96


Related Questions

I need help with 7c please

Answers

Answer:

mx x 2 x1dadqd

Step-by-step explanation:

What is 2-b/3=-5/2

Please explain thoroughly and only explain the 2-step version

Answers

b=11

Multiply both sides of the equation
by 3
6 - b = -5

Move the constant to the right-hand side and change its sign
-b= -5 - 6
Calculate the difference
-b=-11
Change the signs
b=11

Answer:

b = 13.5

Step-by-step explanation:

2 -b/3 = -5/2

im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.

6 -b = -15/2

we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.

12 - 2b = -15

remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!

-2b = -27  

finally, we can divide both sides by -2 and b will be isolated!

b = 13.5

ask me if you have anymore questions!

Help please, ill give 5 stars, and brainly ofc (if correct)

Answers

Answer:

Step-by-step explanation:

part a = 1 x 4

part b = b

Answer:

y=2x+25

the graph is B.

Step-by-step explanation:

How do you make a mixed fraction and write it out as a improper fraction?

Answers

Answer:

1) Multiply the whole number part by the fraction's denominator.

2) Add that to the numerator.

3) Then write the result on top of the denominator.

Step-by-step explanation:

Hope this helps!

Answer:

Explanation

|

Step-by-step explanation:

you you multiply the whole number by the denominator and then add the numerator to that number.

A man buys an article for $600 and sells it for $710. what is his profit or loss

Answers

Answer:

Profit of $110

Step-by-step explanation:

$710-$600=$110

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

36 / k+3 = 44 / k+5

crossmultiply:
44k + 132 = 36k + 180
8k = 48
k = 6

? / 6 = 44 / 11
? / 6 = 4 / 1

cross multiply:
? = 24

Answer:

k=6

?=24

Step-by-step explanation:

[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]

[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]

Now we just cross multiply

44(k+3)=36(k+5)

44k+132=36k+180

Take k-values to one side

44k-36k=180-132

8k=48

k=6

Now we can use k to find ?

[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]

once simplified we get:

[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]

[tex]4 = 4 = \frac{?}{6} [/tex]

in essence we know that:

[tex] \frac{4}{1} = \frac{?}{6} [/tex]

so we can cross multiply:

?=24

find the derivitive of f(x)=(x+9)/(x+1)

Answers

[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]

Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares

Answer is C

Answers

If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.

Answer:

C. net asset value x number of shares

Step-by-step explanation:

edge 2022

[tex]dx x-2secx[/tex]

Answers

Answer:

x + 2tan X . sec X / X

Step-by-step explanation:

The derivatives of trigonometric functions is as follows

* d/dx (sin x) = cos x

* d/dx (cos x) = - sin X

* d/dx (tan x) = sec ^2 X

* d/dx (Cot x) = -cosec^2 X

* d/dx (sec x) = tan x . sec x

* d/dx (cosec x) = -cot x . cosec x

and so the derivative of sec is tanx . sec x

d/dx x - sec x

the derivative of variables is considered 1.

since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.

so d/dx of X is = 1

d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.

in conclusion the final answer is = x + 2tan X . sec X / X

Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now​

Answers

Answer:

See below

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

2xy

2. Seven less than a number:

x - 7

3. The sum of three consecutive numbers:

x + (x + 1) + (x + 2)

4. The sum of two consecutive even numbers is 42:

2x + 2x + 2 = 42

5. The sum of a number and 5 times its reciprocal:

x + 5*(1/5)

6. Four more than twice a number:

4 + 2x

7. The square of a number increase by five:

x² + 5

8. The sum of two numbers is equal to four more than their difference:

x + y = 4 + (x - y)

9. Rian's age four years from now:

x + 4

10. Clara's age 10 year from now​:

x + 10

Step-by-step explanation:

1. Let, Number = x

2x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10

The number sentence 4 × 6 = 6×4 is an example of what property?

Answers

commutative property of multiplication

Answer:

communtitve property of multiplication

Use the Pythagorean Theorem to find the distance, to the nearest tenth, between F(9,5) and G(-2, 2).​

Answers

Answer:

Step-by-step explanation:

d = √((9 -(-2))² + (5 - 2)²)

d = √(11² + 3²)

d = √130

d = 11.401754250...

d = 11.4 units

Answer:

11.4 to the nearest tenth.

Step-by-step explanation:

Distance = sqrt((5-2)^2 + (9-(-2))^2)

= sqrt(3^2 + 11^2)

= sqrt 130

= 11.402

A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?

Answers

Answer:

1248

Step-by-step explanation:

w = 24feet

L=2w+4feet that means L= 2*24+4 =52

aera is 24*52=1248

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

Find the equation of the function of the specified type that is the best fit for the given data

Answers

Good luck:) y2x6 :)

Help help help math math math math

Answers

Answer:

66 degrees.

Step-by-step explanation:

angle 4 is 124, and angle 1 and 4 make 180 degrees. that means angle 1 is 56 degrees (180-124). and the total angle in a triangle is also 180 degrees.

Add 56 and 58, you'd get 114.

180-114=66

angle 2=66 degrees.

Answer:

66

Step-by-step explanation:

1. The exterior angle theorem states that the measure of an exterior angle of a triangle is congruent to the sum of the two opposite interior angles.

Basically, exterior angle = opposite interior angle + opposite interior angle

2. Now, let's see what information we have so far, and what we don't have.

m∠4 is 124 degrees, is the exterior angleThe angle with 58 degrees is one of the opposite interior angles∠2 is the other opposite interior angle, but we don't know its measure

3. Now, let's set up the equation and solve it.

Step 1: Set up the equation.

[tex]124 = x + 58[/tex]

Step 2: Subtract 58 from both sides.

[tex]124-58=x+58-58[/tex] [tex]66 = x[/tex]

Step 3: Check if solution is correct.

[tex]124=66+58[/tex] [tex]124=124[/tex]

Therefore, the answer is 66.

pls help it is 7th grade math

Answers

[tex]39+\dfrac 15 w \\\\=39+\dfrac 15 \left(-\dfrac 12 \right)\\\\\\=39 - \dfrac 1{10}\\\\\\=\dfrac{389}{10}\\\\\\=38\dfrac{9}{10}[/tex]

Choose the equation that is modeled by the graph below:

A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4

Answers

Answer:

B - y=−2.33333x+4 I think

OMG HELP RN I MARK BARINLIST



Which of the following correctly describes the solutions to the inequality?



A.
There are an infinite number of solutions. The solutions are all numbers less than 2.
B.
There are an infinite number of solutions. The solutions are all numbers greater than 2.
C.
There are 7 solutions. The solutions are the numbers between 2 and 8.
D.
There are 4 solutions. The solutions are the numbers between -2 and 1.

Answers

Answer:

B

Step-by-step explanation:

The dot on 2 is an open spot, so 2 isn't part of the solution. the arrow points towards +∞ so, yeah. b

If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically

Answers

Answer:

If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically

5(x - 2) + x = 6(x -4)

Answers

Answer:

No solution

Step-by-step explanation:

[tex]5(x - 2) + x = 6(x -4)[/tex]

[tex]6x-10=6x-24[/tex]

[tex]6x-10+10=6x-24+10[/tex]

[tex]6x=6x-14[/tex]

[tex]6x-6x=6x-14-6x[/tex]

[tex]0=-14[/tex]

Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them

Answers

Answer:

addie at 4.5 candie bars and frankie had 4

PLEASE HELP I HAVE A TIME LIMIT ON THIS!!

Answers

You haven’t shown us the options, but it will be anything where there is 4x

If y is not on its own, then the coefficient (the number before the letter) of x should be 4 times bigger than the coefficient of y

After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?

Answers

Answer:

24

Step-by-step explanation:

Let total number of the chocolates be x.

25% of x = 6 (because 100 - 75 = 25% of chocolates left).

25/100 x x = 6

x = 600/25

x = 24

Hence, 24 is the total amount of chocolates.

Hope it helps :)

Equation 2

T

.

X

-

Show

2(4k + 3) - 13 = 2(18 – k) - 13

Answers

Answer:

Step-by-step

= 2 ( 1 8 − ) − 1 3 -13=2(18-k)-138 + 6 − 1 3

= 2 ( 1 8 − ) − 1 3

Increase £26 by 30%
Increase £440 by 19%
Decrease £62 by 20%
Decrease £300 by 48%

Answers

Step-by-step explanation:

standard deviation of $3

Find a 98% confidence interval about the mean (one decimal place).

Is a value of X=48 unusually high or is it normal? Choose correct explanation

help with this please

Answers

Step-by-step explanation:

I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.

you can do this easily and faster than in here.

it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).

-2 has 6 and 8

4 has 6 and 15

to be a function, each input value can have only one associated output value.

I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?




A. Three fourths of the fish he caught were larger than 22 pounds.

B. The average weight of the fish he caught was 40 pounds.

C. Three fourths of the fish he caught were less than 22 pounds.

D. The largest fish he caught was 63 pounds.

Answers

Answer:

C. Three fourths of the fish he caught were less than 22 pounds.

Step-by-step explanation:

Hope it helps! At least you didn't scream Imao

Answer:

C

Step-by-step explanation:

i answered so the other person gets the brainliest they deserve!

What else must you know to prove the triangles congruent by ASA? The image is of a parallelogram ABCD with diagonal AC. Angle DAC and ACB are marked as equal.

Answers

Can’t see the image please post it

Given f '(x) = (2 - x)(6 - x), determine the intervals on which f(x) is increasing or decreasing. (2 points)
Decreasing (-∞, 2); increasing on (6, ∞)
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)
Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)

Answers

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.

We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]

For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]

For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]

For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]

Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].

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