A student receives a subsidized student loan for $10,000 with a 10-year repayment term and interest compounded monthly. Six months after she graduates from college, she will have to begin making payments. Find her monthly payment and total interest paid if the interest rate is 5.5%.

The wholesale cost for the pianos that Tim pays the manufacturer, wages and utility bills that Tim pays are counted as explicit cost. On the other hand, the salary that Tim could earn if he worked as an accountant and the rental income that Tim could earn from renting his showroom fall under implicit cost.

Difference between Implicit Cost and Explicit Cost:

These two expenses, implicit cost and explicit cost, both represent company activity. The connection between cost and business is what distinguishes these two.

An explicit cost is one that the owner bears directly; an implicit cost is one that the owner bears indirectly without paying or utilizing its own resources. However, the organization or corporation takes into account both expenses while making management decisions.

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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These are the transformed functions for each of the four transformations mentioned.

Vertical translation (shift) by k units: f(x) + k

Horizontal translation (shift) by h units: f(x - h)

Vertical stretch/compression by a factor of c: c * f(x)

Reflection across the x-axis: -f(x)

Replace k, h, and c with the desired values to obtain the specific transformed functions.
Here are four common types of transformations:
Vertical translation (shift) by k units: f(x) + k
Horizontal translation (shift) by h units: f(x - h)
Vertical stretch/compression by a factor of c: c * f(x)
Reflection across the x-axis: -f(x)
For the function f(x) = 2x + 3,

let's apply these transformations:
Vertical translation (shift) by k units: f(x) + k -> 2x + 3 + k (where k is the number of units shifted vertically)

Horizontal translation (shift) by h units: f(x - h) -> 2(x - h) + 3 (where h is the number of units shifted horizontally)
Vertical stretch/compression by a factor of c: c * f(x) -> c(2x + 3) (where c is the stretch/compression factor)
Reflection across the x-axis: -f(x) -> -(2x + 3).

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Answer:

câu này là 500 nhen

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

y intercept when x is 0, so the answer is 3

Answer:

B = 31.467 °

Step-by-step explanation:

Sides:

a = 13 cm

b = 9 cm

c = 17 cm

Angles:

A = 48.939 °

B = 31.467 °

C = 99.5941 °

Other:

P = 39 cm

s = 19.5 cm

K = 57.6818 cm2

r = 2.95804 cm

R = 8.62057 cm

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Formula: SSS is Side, Side, Side

Given the sizes of the 3 sides, you can calculate the sizes of all 3 angles in the triangle.  Use The Law of Cosines to solve for the angles.  You could also use the Sum of Angles Rule to find the final angle once you know 2 of them.

There is 1 smaller can that will be put on the shelve.

Given that, a clerk is placing cans of soup on an 8-ft long shelf, we need to find how many more of the smaller cans will fit on the shelf than the larger cans,

Volume of small cans = 127.2 in³

Therefore,

127.2 = 3.14 × 4.5 × r²

r² = 127.2 / 14.13

r² = 9

r = 3

Similarly, the volume of the large can = 301.6 in³

301.6 = 3.14 × 6 × r²

r² = 16

r = 4

The number of small cans that can be out on the shelve = 8/3 ≈ 9

The number of larger cans that can be out on the shelve = 8/4 = 2

Hence, there is 1 smaller can that will be put on the shelve.

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Step-by-step explanation:

\( \frac{1 + \cot(x) }{ \cos(x) } - \csc(x) = \sec(x) \)

\( \frac{1}{ \cos(x) } + \frac{ \cot(x) }{ \cos(x) } - \csc(x) = \sec(x) \)

\( \sec(x) + \frac{1}{ \sin(x) } - \csc(x) = \sec(x) \)

\( \sec(x) + \csc(x) - \csc(x) = \sec(x) \)

\( \sec(x) = \sec(x) \)

Answer:

y = 2x - 1

Step-by-step explanation:

-1 is the y-intersect of the slope

Answer:

One pair of jeans will cost $31.50

Step-by-step explanation:

To find how much one pair of jeans will cost let's write an equation

where the cost of one pair of jeans is x

∴ 3×x=94.50

to find x we will divide both sides by 3

∴3÷3×x=94.50÷3

which makes the equation

∴x=31.50

meaning that one pair of jeans costs $31.50

If the sides of rectangle are 3.2m and 2.4 m and the side of triangle be 2 m then the height of the figure is 3.6m.

Given the sides of rectangle are 3.2m and 2.4 m and the side of triangle be 2 m.

We are required to find the height of the figure.

Draw a perpendicular on the corner of triangle on the side of rectangle.

Now We have to give the names of the vertiex of the figure as A,B,C,D,E,F.

let AB=x,in this way DB=3.2-x.

In triangle ABC,

AB=\(\sqrt{4-x^{2} }\)---------1              [From pythagoras theorem]

In triangle ADB,

AB=\(\sqrt{4-(3.2-x)^{2} }\)-----------2         [From pythagoras theorem]

From 1&2

\(\sqrt{4-x^{2} }\)=\(\sqrt{4-(3.2-x)^{2} }\)

Taking square root both sides.

4-\(x^{2}\)=4-\((3.2-x)^{2}\)

\(x^{2}\)=\((3.2-x)^{2}\)

x=3.2-x

x+x=3.2

2x=3.2

x=1.6

Put the value of x in 1

AB=\(\sqrt{4-1.6^{2} }\)

=\(\sqrt{4-2.56}\)

=\(\sqrt{1.44}\)

=1.2

Total height=AB+CF

=1.2+2.4

=3.6

Hence if the sides of rectangle are 3.2m and 2.4 m and the side of triangle be 2 m then the height of the figure is 3.6m.

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Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4        28+7a

------------------ * --------------------

9a^2 -6a+1         a^2 -16

Factor

(3a-1)(a-4)           7(4+a)

------------------ * --------------------

(3a-1) (3a-1)        (a-4)(a+4)

Cancel like terms

1                    7

------------------ * --------------------

(3a-1)                  1

Leaving

7/ (3a-1)

The correct description of the shape of the distribution is D. Roughly Symmetric.

Symmetric distribution is an often-referenced term in statistics, representing a type of probability with data segments evenly dispersed around the mean. This denotes the perfect mirror image of the right and left halves when the distribution is split; arriving at an equal size and shape on either side when drawn at the midpoint of the line.

Looking at the distribution of a fire department's response time, we can see that the distribution is roughly symmetric because the values on the left seem to match those on the right.

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Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

O 20

Step-by-step explanation:

when you add 1 and 5 the mean only changes by a little.

but, once you add the 20 it makes your answer go up drastically which makes

O 20

your correct answer.

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

The question let's us set up the equation

Hope it helps!

Step-by-step explanation:

160= 16t^2+96t+16 and we just solve for t to get t= 3(sqrt 2 - 1) and -3(sqrt 2 - 1).

Hope it helps!

=[2\(x^{2}\)-y][3a-4b] This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

Rearrange the expression

6a\(x^{2}\) -8bx² -3ay +4by

2\(x^{2}\)[3a-4b] - y[3a-4b]

=[2\(x^{2}\)-y][3a-4b]

This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

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a. To find the value for the mean before 4 points were added to each score, we need to subtract 4 from the current mean of 14:

M' = M - 4 = 14 - 4 = 10

Therefore, the value for the mean before 4 points were added to each score was 10.

b. To find the value of the mean prior to multiplying each score by 4, we need to divide the current mean of 32 by 4:

M' = M/4 = 32/4 = 8

Therefore, the value of the mean prior to multiplying each score by 4 was 8.

Answer:

The value of the mean before multiplying each score by 4 was 8.

Step-by-step explanation:

Brainliest Please

Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.

To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.

Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.

So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:

According to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.

Note: This question is incomplete. Here is the complete information:

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Answer:

15

Step-by-step explanation:

4+7(3) -2(5)

Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

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From the sampling distribution, the correct answer is: Both the center will remain the same, but the spread will decrease.

The center of the sampling distribution will remain the same, which is the expected proportion of even numbers showing on a single roll of the die, which is 1/2 or 0.5. This is because the probability of getting an even number on a single roll of the die does not change with the number of rolls in the experiment.

However, the spread of the sampling distribution will decrease as the number of rolls increases. This is because the larger the sample size, the more precise our estimate of the proportion of even numbers showing on each roll of the die will be. With more rolls, we will have a better idea of the true proportion of even numbers that the die produces.

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Answer:

a. Pentagon (The figure has 5 sides.)

b. Triangle (The figure has 3 sides.)

c. Hexagon (The figure has 6 sides.)

d. Hexagon (The figure has 6 sides.)

Step-by-step explanation:

PH

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

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