I DONT UNDERSTAND HOW TO DO THISSS PLEASE HELP
Does the point (5, −24) lie inside, outside, or on the circle with a center at (−5, −8) and a radius of 25 units?

Answer:

Option A

Step-by-step explanation:

to be perpendicular, the product of two slopes should be -1

the slope of the first equation is 1/5, so the slope should be -5

(1/5) (-5)= -1

y= -5x +b

Substitute (1,1) to solve for b,

b= 6

Thus, the equation is y= -5x +6

Answer:

\(b = \dfrac{11}{x} + 1\)

Step-by-step explanation:

The equation is given as follows;

\(x + 3 - \dfrac{1}{2} \cdot x = \dfrac{1}{2} \cdot (b \cdot x - 5)\)

By expanding and collecting terms in x we get;

\(3 + \dfrac{x}{2} = \dfrac{b \cdot x}{2} - 2.5\)

\(\therefore 3 + 2.5 + \dfrac{x}{2} = 5.5 + \dfrac{x}{2} = \dfrac{b \cdot x}{2}\)

b = (11 + x)/x = 11/x + 1

The equation has exactly one solution when b = 11/x + 1

The number of individuals who took the quiz is D) 21.

To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.

Let's add up the frequencies:

6 + 5 + 5 + 3 + 2 = 21

The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.

Therefore, the correct answer is D. 21.

Know more about frequency distribution here,

https://brainly.com/question/30371143

#SPJ11

Answer:

\(\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}\)

\(\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}\)

\(\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}\)

\(\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}\)

\(\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1\)

\(\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}\)

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x\)

Step-by-step explanation:

Required

Simplify

Solving (1):

\(\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}\)

Factorize the numerator and the denominator

\(\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}\)

Factor out x+2 at the numerator

\(\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}\)

Express x^2 - 9 as difference of two squares

\(\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}\)

\(\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}\)

Expand the denominator

\(\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}\)

Factorize

\(\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}\)

\(\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}\)

Cancel out same factors

\(\frac{(x+3)}{x}\)

Hence:

\(\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}\)

Solving (2):

\(\frac{3x^2 - 5x - 2}{x^3 - 2x^2}\)

Expand the numerator and factorize the denominator

\(\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}\)

Factorize the numerator

\(\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}\)

Factor out x - 2

\(\frac{(3x + 1)(x - 2)}{x^2(x- 2)}\)

Cancel out x - 2

\(\frac{3x + 1}{x^2}\)

Hence:

\(\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}\)

Solving (3):

\(\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}\)

Express x^2 - 9 as difference of two squares

\(\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}\)

Factorize all:

\(\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}\)

Cancel out x + 3 and 3 + x

\(\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}\)

\(\frac{3 - x}{x- 3} * \frac{5}{2x}\)

Express \(3 - x\) as \(-(x - 3)\)

\(\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\\)

\(-1 * \frac{5}{2x}\)

\(-\frac{5}{2x}\)

Hence:

\(\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}\)

Solving (4):

\(\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}\)

Expand x^2 - 6x + 9 and factorize 5x - 15

\(\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}\)

Factorize

\(\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}\)

\(\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}\)

Cancel out x - 3

\(\frac{(x -3)}{5} / \frac{5}{3-x}\)

Change / to *

\(\frac{(x -3)}{5} * \frac{3-x}{5}\)

Express \(3 - x\) as \(-(x - 3)\)

\(\frac{(x -3)}{5} * \frac{-(x-3)}{5}\)

\(\frac{-(x-3)(x -3)}{5*5}\)

\(\frac{-(x-3)^2}{25}\)

Hence:

\(\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}\)

Solving (5):

\(\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}\)

Factorize the numerator and expand the denominator

\(\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}\)

Factor out x - 1 at the numerator and factorize the denominator

\(\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}\)

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator

\(\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}\)

\(x +1\)

Hence:

\(\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1\)

Solving (6):

\(\frac{9x^2 + 3x}{6x^2}\)

Factorize:

\(\frac{3x(3x + 1)}{3x(2x)}\)

Divide by 3x

\(\frac{3x + 1}{2x}\)

Hence:

\(\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}\)

Solving (7):

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}\)

Change / to *

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}\)

Expand

\(\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}\)

Factorize

\(\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}\)

\(\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}\)

Cancel out x - 2 and x - 1

\(\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}\)

Cancel out x

\(\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}\)

\(\frac{12x^2}{4x}\)

\(3x\)

Hence:

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x\)

The value of x is 36 degrees which states that two angles are supplementary.

The given problem can be solved using the formula for supplementary angles,  (that is, their sum is 180 degrees) if their measures add to 180 degrees.

In this case, we are given two angles: (x + 35) degrees and (3x + 1) degrees. We know that the sum of these two angles must be 180 degrees, so:

x + 35 + 3x + 1 = 180

4x + 36 = 180

4x = 144

x = 36

Therefore, the value of x is 36 degrees.

To calculate this, we first added the two angles together to get 4x + 36 = 180. We then subtracted 36 from both sides of the equation to get 4x = 144. Finally, we divided each side of the equation by 4 to get x = 36.

Learn more about supplementary here:

https://brainly.com/question/27624512

#SPJ4

The value of x is 17

In this question we ahve been given that two lines intersects each other at one point, making an angle of measure (x+35) degrees whose opposite angle measures (3x+1) degrees.

We need to find the value of x.

We know that opposite angles are the angles that are opposite each other when two lines intersect each other at one point.

Also the opposite angles are congruent means they have the same measurement.

So, x + 35 = 3x + 1

We solve above equation to find x.

x + 35 = 3x + 1

x + 35 - 1 = 3x + 1 - 1

x + 34 -x = 3x - x

34 = 2x

2x/2 = 34/2

x = 17

Learn more about opposite angles here:

https://brainly.com/question/29248668

#SPJ4

Answer:

number of passengers is an independent variable, average speed depends on the number of passengers so its a dependent variable, liters of fuel used depends on average speed so its a dependent variable

Step-by-step explanation:

wow that's pretty lit

Answer:what the heck are you trying to say?

Step-by-step explanation:

Answer:

E. Each trial is independent

Step-by-step explanation:

I'm not completely sure why all binomial distribution trials are independent, but there are requirements for binomial distributions.

These requirements are:

- Each outcome is either a success (p) or a failure (Q)

- All trials are independent

- There are a fixed number of "n" trials

- The probability of success (p) is the same for each trial

I also just took the test and got this right.

Answer:

Just do scan and solve by brainly really helpful ngl

Step-by-step explanation:

The smallest positive integer y such that the product xy is a perfect cube is 3.

To find the value of y, we need to factorize x, which is 7 * 24 * 48.

We can then find the prime factorization of xy, which will help us determine the smallest integer y that will make the product a perfect cube.

Since 7, 24, and 48 are already factored, we can express x as:

x = 2⁴ * 3 * 7²

To make xy a perfect cube, we need to ensure that the exponents of all the prime factors are multiples of 3.

Therefore, we need to add a factor of 3 to the exponent of 2 in x to make it a multiple of 3. This gives us:

xy = 2⁷ * 3² * 7²

The smallest integer y that can make this product a perfect cube is 3, because we need to add a factor of 1 to the exponent of 2 in xy to make it a multiple of 3, and the smallest integer that can achieve this is 3.

Thus, the smallest positive integer y such that the product xy is a perfect cube is 3.


The question is: A number x is equal to \($7\cdot24\cdot48$\). What is the smallest positive integer y such that the product xy is a perfect cube

To know more about smallest positive integer refer here:

https://brainly.com/question/14378432#

#SPJ11

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

To know more about number of ways, refer here:

https://brainly.com/question/30649502

#SPJ4

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer:

y=2x-8

Step-by-step explanation:

Subtract 4 x from both sides of the equation. − 2 y = 16 − 4 x Divide each term by − 2 and simplify. Tap for fewer steps... Divide each term in − 2 y = 16 − 4 x by − 2 . − 2 y − 2 = 16 − 2 + − 4 x − 2 Cancel the common factor of − 2 . Tap for fewer steps... Cancel the common factor. − 2 y − 2 = 16 − 2 + − 4 x − 2 Divide y by 1 . y = 16 − 2 + − 4 x − 2 Simplify 16 − 2 + − 4 x − 2 . Tap for fewer steps... Simplify each term. Tap for fewer steps... Divide 16 by − 2 . y = − 8 + − 4 x − 2 Cancel the common factor of − 4 and − 2 . Tap for fewer steps... Factor − 2 out of − 4 x . y = − 8 + − 2 ( 2 x ) − 2 Cancel the common factors. Tap for more steps... y = − 8 + 2 x Reorder − 8 and 2 x . y = 2 x − 8

Answer:

Y = 2x - 8

Step-by-step explanation:

-2y = -4x + 16

y = 2x - 8

Your welcome

A team that controls decisions about and execution of a complete range of tasks, including acquisitions, operations, quality control, maintenance, and shipping, is known as a cross-functional team. This type of team consists of individuals from different functional areas or departments within an organization who come together to work collaboratively on specific projects or goals.

Cross-functional teams are designed to break down silos and foster cooperation and communication between different departments or functions. By including representatives from various areas, such as finance, marketing, operations, and logistics, cross-functional teams bring together diverse perspectives, expertise, and skills to address complex issues and achieve common objectives.

These teams are responsible for making decisions related to their assigned tasks, executing plans, and ensuring the successful completion of the project or initiative. Their comprehensive range of responsibilities allows for greater efficiency, coordination, and integration across different functions, leading to improved outcomes and performance.

To learn more about acquisitions : brainly.com/question/32032021

#SPJ11

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

To know more about direct labor:

https://brainly.com/question/13126873

#SPJ4

Answer:

See below for answers

Step-by-step explanation:

12/15=4/5

8/10=4/5

18/27=2/3

6/9=2/3

8/12=2/3

12/18=2/3

9/15=3/5

10/25=2/5

Answer:

4/5, 4/5, 2/3, 2/3, 2/3, 2/3, 3/5, 2/5

Step-by-step explanation:

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer: Switch x and y

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.

Hence, the correct option is C.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

At the upper triple point, solid graphite, liquid carbon, and gaseous carbon dioxide coexist in equilibrium.

In a phase diagram for carbon, the upper triple point represents a specific combination of temperature and pressure where all three phases of carbon—solid (graphite), liquid (carbon), and gas (carbon dioxide)—coexist in equilibrium.

At this point, there is a delicate balance between the three phases, and any deviation from the exact temperature and pressure values would cause one or more phases to dominate.

The upper triple point is a unique set of conditions where solid graphite, liquid carbon, and gaseous carbon dioxide can exist simultaneously.

It's important to note that the precise values of temperature and pressure at the upper triple point may vary depending on the specific phase diagram being referenced.

learn more about triple point

brainly.com/question/519191

#SPJ11

Answer:

-2r³ - 7rs + 10s²

Step-by-step explanation:

Step 1: Write expression

(r³ - 6rs + 6s²) - (3r³ + rs - 4s²)

Step 2: Distribute negative

r³ - 6rs + 6s² - 3r³ - rs + 4s²

Step 3: Combine like terms

-2r³ - 7rs + 10s²

The probability that a student is either female or went to pre-k is 0.7, assuming the above mentioned assumptions.

To calculate the probability that a student is either female or went to pre-k, we need to add the probability of being female to the probability of having attended pre-k and then subtract the probability of being both female and having attended pre-k, since we don't want to count those students twice.

Let's assume that the total number of students is 100. We don't have any information on how many of them are male or female or went to pre-k, so we have to make some assumptions.

Assuming that there are 50 males and 50 females, and that 30 students went to pre-k, we can calculate the probabilities as follows:

P(Female) = 50/100 = 0.5

P(Pre-k) = 30/100 = 0.3

P(Female and Pre-k) = 10/100 = 0.1 (assuming that 10 out of the 50 females went to pre-k)

Now we can calculate the probability of being either female or having attended pre-k:

P(Female or Pre-k) = P(Female) + P(Pre-k) - P(Female and Pre-k)
                  = 0.5 + 0.3 - 0.1
                  = 0.7

Therefore, the probability that a student is either female or went to pre-k is 0.7, assuming the above mentioned assumptions.

Visit here to learn more about probability  : https://brainly.com/question/30034780
#SPJ11

Answer:

answer #n

Step-by-step explanation:

we cant see the options

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

Answer:

a 25 questions, 4 points   b 19 questions

Step-by-step explanation:

a 96:100 = 24 : x

x = (100 x 24)/96 = 25 questions

100 : 25 = 4 points

b 76:100 = x : 25

x = (76 x 25)/100 = 19 questions

Answer:

Question 1:

There are 25 questions on the test.

Each question is worth 4 marks each.

Question 2:

Your friend answered 19 questions correctly

Step-by-step explanation:

Question 1:

question answered = 24

percent earned = 96%

total number of points = 100%

\(\frac{questions answered }{percentage earned}\) x 100

\(\frac{24}{96}\) x 100 ⇒ 0.25 x 100 ⇒ 25

there are 25 questions on the test

\(\frac{100}{25} = 4\)

each question is 4 marks each

Question 2:

percent earned by your friend = 76%

(percent earned by your friend x total number of question) ÷ 100

76 x 25 ÷ 100

1900 ÷ 100

= 19

Answer:

8 nickels and 14 pennies

Step-by-step explanation:

Let p = number of pennies

Let n = number of nickels

p + n = 22             .01p + .05n =.54

Take the second equation and multiple it through by 100 to clear the decimals.

100(.01p + .05n( = .54(100)

p + 5 n = 54  Multiply this through by -1 so that I can add it to the first equation.

-p  -5n = -54

p + n = 22   Add these together

    -4n = -32  Divide both sides by -4

n = 8  We have solved for n.  We have 8 nickels.

Plug 8 in for n in the first equation and solve for p.

p + n = 22

p + 8 = 22  Subtract both sides by 8

p  = 14  There are 14 pennies.

Check:

p + n = 22

14 + 8 = 22

22 = 22  Checks

.01p + .05n = .54

.01(14) + .05(8) = .54

.14 + .40 .54

.54 .54 check

Answer:

Width is 41 inches

Step-by-step explanation:

Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides

Answer:

Amount of interest pay by Sam = $400

Step-by-step explanation:

Given:

Amount of loan taken by Sam = $5,000

Monthly payment made by Sam = $150

Number of year payment made by Sam = 3 Year

Find:

Amount of interest pay by Sam

Computation:

Total amount pay by Sam in 3 year = Monthly payment made by Sam x 12 x 3

Total amount pay by Sam in 3 year = 150 x 12 x 3

Total amount pay by Sam in 3 year = $5,400

Amount of interest pay by Sam = Total amount pay by Sam in 3 year - Amount of loan taken by Sam

Amount of interest pay by Sam = $5,400 - $5,000

Amount of interest pay by Sam = $400