Bryan and his wife, Jane, can afford $2,273 a month for a monthly mortgage payment.

How much money would they be able to borrow for a 30-year fixed mortgage if the APR is 3.8%.

How much money would they make in payments over the life-time of the mortgage?

How much money would they pay in interest over the life-time of the mortgage if they borrowed as much money as they could on the mortgage?

Round your answer to the nearest cent.

Answers

Answer 1

9514 1404 393

Answer:

borrowed amount: $487,812.89total of payments: $818,280.00paid in interest: $380,467.11

Step-by-step explanation:

The formula for figuring the amount that can be borrowed (P) is shown on the first line of the attachment. (The second line rounds it to the nearest cent.) In this formula, ...

  a = monthly payment, r = annual interest rate, t = number of years

The amounts requested by the problem statement are shown in the attachment, and above. b is the amount that can be borrowed, p is the total of payments, and i is the interest paid. There are 360 monthly payments in 30 years, so the total paid is 360 times the monthly payment amount.

Bryan And His Wife, Jane, Can Afford $2,273 A Month For A Monthly Mortgage Payment. How Much Money Would

Related Questions

7. What is given in the problem?
A. Radius of 80m C. Radius of 80 ft.
B. Diameter of 40 ft. D. Diameter of 40 m paki sagot

Answers

Answer:

radius of 80cm is the answer

Simplify this math problem show Your work

Answers

9514 1404 393

Answer:

  (p -9q)/(4p² +12pq)

Step-by-step explanation:

The least common denominator will be the product of the denominators.

  [tex]\dfrac{-3}{4p}+\dfrac{1}{p+3q}=\dfrac{-3(p+3q)+1(4p)}{(4p)(p+3q)}=\boxed{\dfrac{p-9q}{4p^2+12pq}}[/tex]

(3b-4)(b+2) in standard form

Answers

Answer:

3b^2 + 2b -8

Step-by-step explanation:

* means multiply

^ means exponent

3b * b = 3b^2

3b * 2 = 6b

-4 * b = -4b

-4 * 2 = -8

3b^2 + 6b -4b -8

3b^2 + 2b -8

Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.​

Answers

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.

The first part zeros of -2 means (x+2) and multiplicity 3 means (x+2)^3.

The second part zeros of 3 means (x-3) and multiplicity 1 means (x-3).

The third part f(0) = 120 means substituting x=0 into (x+2)^3*(x-3)*k =120

(0+2)^3*(0-3)*k = 120

-24k = 120

k = -5

Combining all three conditions, f(x)

= -5(x+2)^3*(x-3)

= -5(x^3 + 3*2*x^2 + 3*2*2*x + 2^3)(x-3)

= -5(x^4 + 6x^3 + 12x^2 + 8x - 3x^3 - 18x^2 - 36x - 24)

= -5(x^4 + 3x^3 - 6x^2 - 28x -24)

= -5x^4 - 15x^3 + 30x^2 + 140x + 120

The manager of a donut store believes that 35% of the customers are first-time customers. A random sample of 150 customers will be used to estimate the proportion of first-time customers. Assuming this belief is correct, what is the probability that the sample proportion will be between 0.2 and 0.4

Answers

Answer:

0.8996 = 89.96% probability that the sample proportion will be between 0.2 and 0.4

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The manager of a donut store believes that 35% of the customers are first-time customers.

This means that [tex]p = 0.35[/tex]

Sample of 150 customers

This means that [tex]n = 150[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.35[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.35*0.65}{150}} = 0.0389[/tex]

What is the probability that the sample proportion will be between 0.2 and 0.4?

p-value of Z when X = 0.4 subtracted by the p-value of Z when X = 0.2.

X = 0.4

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.4 - 0.35}{0.0389}[/tex]

[tex]Z = 1.28[/tex]

[tex]Z = 1.28[/tex] has a p-value of 0.8997

X = 0.2

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.2 - 0.35}{0.0389}[/tex]

[tex]Z = -3.85[/tex]

[tex]Z = -3.85[/tex] has a p-value of 0.0001

0.8997 - 0.0001 = 0.8996

0.8996 = 89.96% probability that the sample proportion will be between 0.2 and 0.4

An expression to convert 50 miles per hour to miles per minute is shown.

What value can be entered in the box to correctly make this conversion?

Answers

Answer:

[tex]{ \tt{ = \frac{50}{1 \times 60} }}[/tex]

Step-by-step explanation:

50 miles=50 miles

1 hour=60 minutes

50÷60

0.8333333333333333mile per minute

~1.0 mile per minute

5.A shipment of 200microwavescontains twentydefective units. In how many ways can a vending company buy fifteenof thesemicrovavesand receivea.No defective units(2pts)b.Exactly two defective units.(2pts)c.At least one defective unit.(2pts)

Answers

Answer:

Step-by-step explanation:

Total no. of goods, n = 200

no. of defective units in the goods, d = 20

hence the no. of proper units,

g = n-d

g = = 200-20

g = 180

a)

ways in which a vending company buys fifteen of these microwaves and receive no defective units be:

[tex]^{180}C_{15}=\frac{180!}{15!\times (180-15)!}[/tex]

[tex]\approx 2.83\times 10^{21}[/tex]

b)

ways in which a vending company buys fifteen of these microwaves and receive exactly two defective units be:

[tex]^{20}C_2\times ^{180}C_{13}=\frac{20!}{2!\times (20-2)!} \times \frac{180!}{13!\times (180-13)!}[/tex]

[tex]\approx 190\times (2.146\times 10^{19})[/tex]

[tex]\approx 4.076\times 10^{21}[/tex]

c)

ways in which a vending company buys fifteen of these microwaves and receive at least one defective units be:

[tex]^{20}C_{1}\times ^{199}C_{14}=\frac{20!}{1!\times (20-1)!} \times \frac{199!}{13!\times (199-13)!}[/tex]

[tex]\approx 20\times (8.258\times 10^{19})[/tex]

[tex]\approx 1.652\times 10^{21}[/tex]

What is the value of y in the solution to the system of equations?
1 2 3x + 2 y = 1
2x – 3y=-30

Answers

Answer:

y=1

Step-by-step explanation:

                                                                                         

Answer:

SEESH thanks for the points

Step-by-step explanation:

Helpi
Identify the domain of the function shown in the graph.

Answers

Answer:

D = all reals (or -7 to 7)

Step-by-step explanation:

If the line continues on for infinity, then the domain is all reals, or negative infinity to positive infinity. If the line ends on the graph that we can see, though, the domain would be [-7 , 7]

Domain is all real numbers

Write an expression for the sequence of operations described below.
double t, subtract v from the result, then subtract u from what you have
Do not simplify any part of the expression.

Answers

Step-by-step explanation:

Double t

t+t=2t

Subtract v

2t-v

Subtract u

2t-v-u

Follow the process of completing the square
to solve 2x2 + 8x - 12 = 0.
After adding B2 to both sides of the equation in step 4, what is the constant on the right side of the equation?

Answers

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

Suppose that E and F are points on the number line. If EF=20 and E lies at 4, where could F be located?

Answers

Answer:

F lies at 24

Step-by-step explanation:

Since EF = 20 and E is at 4

F is at:

4 + 20 = 24

answer???????? with explanations, para lam ko di mga hula

Answers

Answer:

144

Step-by-step explanation:

To Find :-

Least Common denominator .

Solution :-

We have ,

> 1/8 , 2/9 , 3/12 .

The denominator of the fractions are ,

> 8 , 9 , 12

The LCM of 8,9,12 will be ,

2 | 8 , 9 , 12

2 | 4 , 9 , 6

2 | 2 , 9 , 3

3 | 2 , 3 , 1

Therefore , LCM will be ,

> 2⁴ × 3² = 16 × 9 = 144

Notación científica de 0,567

Answers

Answer:

0,00567×10¹

Step-by-step explanation:

Para convertir a notación decimal:

0.00567×10¹

For the diagram below, which equation is the correct use of the distance
formula?

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Any equation that does not have y2 as the first term in the second set of parentheses will be incorrect.

The correct usage is shown in equation D.

I think the answer is B

Which choice is equivalent to √10*√5?
A. 5√2
B. 25√2
C. 5√10
D. 2√5

Answers

Answer: [tex]5\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{10} *\sqrt{5} =\sqrt{50} =\sqrt{2*5*5} =5\sqrt{2}[/tex]

Point Q is the centroid of △ABC. QF = _____ centroid

Answers

Answer:

Q is the centroid the after you can do it your self by looking forward

Answer:

QF = 5

Step-by-step explanation:

On a median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

QF = [tex]\frac{1}{2}[/tex] BQ = [tex]\frac{1}{2}[/tex] × 10 = 5

Pls could someone help me with this​

Answers

Answer:

- Bar Gaps should be the same

Y-axis up in units of 5 would help out

Step-by-step explanation:

In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.

What is the average rate of change of the cost of a pack of cigarettes? What is another name for the average rate of change?

Round your answer to the nearest cent.

Answers

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Step-by-step explanation:

The average rate of change of the cost of a pack ([tex]r[/tex]), in monetary units per year, is equal to the change in the average cost of a pack ([tex]\Delta c[/tex]), in monetary units, divided by the change in time ([tex]\Delta t[/tex]), in years. Then, the average rate of change is:

[tex]r = \frac{\$\,5.31-\$\,0.88}{2000-1980}[/tex]

[tex]r = \$\,0.22\,\frac{1}{yr}[/tex]

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Study the table representing the price of different amounts of apples, in pounds, and then complete the sentences. The constant difference in the y-values is . The linear function is .

Answers

Answer: the first part is 1.25. The second part is y=1.25x

Step-by-step explanation: edge 2021

Question 5
Points 1
duction
st
Which of the following is a polynomial of degree 5?
est
7x+ 5x2-3
0 2x7-5
O x1/7 + 1
0 12x4 - 5x3 + 6x - 4

Answers

Answer:

You can go ahead with this!

Step-by-step explanation:

Option A

Is the write answer

what is 4/7 raised to the power of negative 1 as a rational number​

Answers

Answer:

7/4

Step-by-step explanation:

(4/7)^-1

We know a^-b = 1/a^b

1/ (4/7)^1

7/4

Answer:

(4/7)^-1

=1/(4/7)^1

=1÷4/7

=1×7/4

=7/4

Therefore 7/4 is equal to 1.75 as a rational number

The graphs below have the same shape the equation of the bluegrass is f(x)=x^3 what is the equation of the red graph

Answers

Answer:

g(x) = x^3 - 2

Step-by-step explanation:

As you can see on the graph, the line has been translated down 2 units.

If the graph of f has the same shape as the graph of g, then the slope remains the same. The y intercept (k) changes by -2 units, so the k value is -2

g(x) = x^3 - 2

Hope this helps!!

Plz tell this AWANSERS STEP BY STEP

Answers

Step-by-step explanation:

solved in the diagram above

I hope it helps you

Yess again pls help!
Tyyy

Answers

Umm I need more info to help u?

If P = (2,-1), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.

Answers

9514 1404 393

Answer:

  P'(-1, -2)

Step-by-step explanation:

The transformation for 270° CCW rotation is ...

  (x, y) ⇒ (y, -x)

Then the image of the given point is ...

  P(2, -1) ⇒ P'(-1, -2)

please help will mark brainly. *personal finance*

Answers

Answer:

{B} travelling costs paid in connection with a temporary work assignment

Which histogram represents the following data set?

31, 67, 8, 37, 12, 87, 14, 34, 105, 57, 42, 8, 16, 54, 17, 20, 72, 23,

27, 63, 24, 52, 14, 44, 27, 5, 28, 22, 33, 15, 6, 36, 41, 21, 46

Answers

Answer:

Option A

Step-by-step explanation:

Histogram shows the range of data on the x-axis while the frequency of occurrence is on the y-axis.

We have the following ranges from the Histogram ;

0 to 11

11 to 22

22 to 33

33 to 44

44 to 55

55 to 66

66 to 77

77 to 88

88 to 99

99 to 110

From the given set of data, the frequency according to the range is as follows;

0 to 11; 4

11 to 22; 8

22 to 33; 7

33 to 44; 6

44 to 55; 4

55 to 66; 2

66 to 77; 2

77 to 88; 1

88 to 99; 0

99 to 110; 1

The only Histogram that corresponds to these frequency is option A

Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​

Answers

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = [tex]\frac{1}{2}aP[/tex]

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

                                             = 30 cm

Substituting these values in the formula,

Area = [tex]\frac{1}{2}(4.1)(30)[/tex]

        = 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

Joe bought 200 masks and each mask costs Rs.5. How much did he pay altogether?
pls write the steps how to do if you I will give 5 star

Answers

Given:

total number of masks= 200cost of 1 mask= Rs. 5

so, total cost fir 200 masks=

200×5

= 1000

therefore, Joe paid Rs. 1000 altogether.

He bought 200 masks.
And 1 mask costs Rs. 5. So for the equation you do...

1 mask = Rs. 5
200 masks = x(unknown)

➡️ x = Rs. 5 * 200 masks/ 1 mask

➡️ x = 1,000/1

➡️ x = Rs. 1,000
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