frank currently rents an
apartment for $700 per month.
he is considering purchasing a
$125,000 condominium, he has
been approved for a 30-year
term mortgage with a 5.25%
interest rate use technology to
create a loan amortization
model.
what is frank's monthly
mortgage payment? what is the
total interest he will pay on the
loan? what is the total of all
loan payments he will make?
what is the difference between
Frank's monthly loan payment
and his monthly rent? match
the amount to the statement

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

36 flowers are left over

Step-by-step explanation:

54 is 60% of 90

90-54=36

Answer:

c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

Step-by-step explanation:

Pvalue is less than the alpha-level:

If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.

In this question:

Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.

The correct conclusion is: c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

The given parameters are:

[tex]\mathbf{p = 0.04}[/tex] --- the p-value

[tex]\mathbf{\alpha = 0.05}[/tex] --- the significance value or the alpha level

From the options, we understand that the test parameter is the population median

By comparison, the p-value (0.04) is less than the alpha level (0.05)

When the p-value is less than the alpha-level, then it means that there is enough evidence of the hypothesis for the population parameter that is being tested.

Since the p-value is less than the alpha level, then it means that there is enough evidence to show the difference in the population median.

Hence, option (c) is correct

Read more about hypothesis testing at:

https://brainly.com/question/17347077

Step-by-step explanation:

shown in the photo I have provided

The graph of the given function f (x) = sin (πx/2) is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

If we plugged in x = 0, then we get

f (x) = sin (πx/2)

Therefore, this sine curve goes through the origin. The point is on the midline y = 0, the x axis.

We need either a minimum or maximum point. the expression f (x) is the same as . We will divide 2π over the coefficient of π/2 to get

The plot of the the maximum or minimum point closest to the first point is plotted in the graph.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

9514 1404 393

Answer:

  1.  monthly: 0.25%; quarterly: 0.75%

  2.  monthly: ≈ 0.45833%; quarterly: 1.375%

Step-by-step explanation:

In each case, the base of the exponential term is the annual growth factor. The annual growth rate (interest rate) is ...

  growth rate = growth factor - 1

Then the monthly rate is ...

  monthly rate = growth rate/12

and the quarterly rate is ...

  quarterly rate = growth rate/4

__

1. monthly rate = (1.03 -1)/12 = 0.03/12 = 0.0025 = 0.25%

  quarterly rate = (1.03 -1)/4 = 0.03/4 = 0.0075 = 0.75%

__

2. monthly rate = (1.055 -1)/12 = 0.055/12 ≈ 0.0045833 = 0.45833%

  quarterly rate = (1.055 -1)/4 = 0.055/4 = 0.01375 = 1.375%

Answer:

5 children

Step-by-step explanation:

Solve

$7.31 x2 = $14.62

$46 - 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

$33 is bigger than $31

Therefore, the greatest number of children tickets can be purchased is only 5.

Answer:

I rhink the answer would be 273°

Step-by-step explanation:

57+180=237°

Answer:

∠ BAC = 28.5°

Step-by-step explanation:

∠ AOB = 180° - 57° = 123° ( straight angle )

OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is

∠ BAC = ∠ ABO , then

∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°

Answer:

[tex]y=C_1e^{-x}+C_2xe^{-x}+\frac{1}{5}e^{2x}.[/tex]

Step-by-step explanation:

all the details see in the attached picture.

Answer: I did a screen shot of the answer

Step-by-step explanation:

Answer:

Wonderfully put, bravo

Step-by-step explanation:

Answer:

(jotaro) "yare yare daze"

Step-by-step explanation:

(star platinum)

"ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORA

yare yare

ORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA

OOOOOOOOORA!

Answer:

1

Step-by-step explanation:

Answer:

please give me brainlist and follow

Step-by-step explanation:

1/10 of 1 m = 10 cm.

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

Answer:

V = 267.95

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

V = 4/3(3.14)(64)

V = 267.95

Answer:

268.1 cm^3

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r)^3.

If the diameter of this sphere is 8 cm, then the radius is 4 cm, and r^3 = 64 cm^3.  Thus, the volume is:

V = (4/3)(3.14)(64 cm^3) = 268.1 cm^3

Answer:

A

Step-by-step explanation:

Just took the test

The statement that asserts a true claim would be:

A). The height is approximately r units and the base length is approximately πr units.

The sector is described as an element of the circle or a part that extends to the center.

In the given figure, the height of the congruent sectors would be equivalent to r units as the radius is r units.

While the length of its base would be equivalent to πr units to denote the base length.

Thus, option A is the correct answer.

Learn more about "Height" here:

brainly.com/question/10726356

Answer: 4 7/6

Step-by-step explanation:

Answer:

she gives 225

Step-by-step explanation:

750×30% equals to 225

Answer:

Stephanie gives $225 to charity a month

Step-by-step explanation:

$750 / 100 = 7.5

7.5 x 30 = 225

7.5 x 70 = 525

700 - 525 = 225

Answer:

here you go

Step-by-step explanation:

"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder

Why does correlation not equal causation example?

It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.

Answer:

1/3, 3/8 are closer to 0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

dont know i just remeberd

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4

Answer:

80,000

Step-by-step explanation:

because you are just adding a extra zero

Step-by-step explanation: 4d−9=5(2d−3)

im sorry sorry if im wrong pls forgive me :')

also have a blessing day! :)

Answer: 14

Step-by-step explanation:

VW corresponds to BA. VW is twice the length of BA, so VU must be twice the length of BC

Answer:

120

Step-by-step explanation:

The whiskers you see on the sides, are known as the minimum(Left) and the maximum (right).  

Answer:

1320

Step-by-step explanation:

i am

Answer:

https://brainly.com/question/22830500

Step-by-step explanation:

pleaseee help asapppppp

The set of values that make the inequality -g > -6 true are; -5.9, -5, -1, 0, 1, 5, 5.9.

According to the question;

The equivalent inequality can be gotten as follows;

By dividing both sides by -1, we get;

Therefore, the set of values that satisfy the inequality are as listed above.

Read more:

https://brainly.com/question/18726103

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

Answer:

X= -3, Y= -1

Step-by-step explanation:

= {x, y}

= {-1.-3}

X = -1

Y = -3

Look at the picture :)

#LearnWithBrainly