Mila bought stock in a company two years ago that was worth
x
x dollars. During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%. Write an expression in terms of
x
x that represents the value of the stock after the two years have passed.

Answer:

Step-by-step explanation:

You want to know if the fractions (2 1/2)/(6.5) and (5/8)/(1 5/8) are in a proportional relationship, and the simplest form of each.

Equivalent fractions can be found by multiplying numerator and denominator by the same number.

  (2 1/2)/(6.5) = 2·(2 1/2)/(2·6.5) = 5/13

  (5/8)/(1 5/8) = 8(5/8)/(8·(1 5/8)) = 5/(8+5) = 5/13

Both fractions are equivalent to 5/13, so their relationship is proportional.

The length of PR of the triangle is 3√2 units

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The triangle PQR can be drawn as shown in the attached image. Thus, we can say:

sin 45° = 3/PR   (sine = opposite/hypotenuse)

1/√2 = 3/PR     (Remember: sin 45° = 1/√2)

PR = 3 * √2

PR = 3√2 units

Thus, the length of PR is 3√2 units

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The above prompt has to do with linear functions. The answers to same are given below.

12-14) the graph of the functions are attached accordingly.

15) a) The cost of buying s songs can be calculated using the following function:

C(s) = 0.9s

b) To find the cost of buying 5 songs, we can substitute s = 5 into the function:

C(5) = 0.9(5) = 4.5

So the cost of buying 5 songs is $4.50.

16) he linear function that relates y to x. y = (1/3)x + 3

We can see that the x-coordinates increase by 3 as we move from one point to the next, and the y-coordinates increase by 1 as we move from one point to the next. This suggests that the slope of the line connecting these points is:

slope = (change in y) / (change in x) = 1/3

We can then use the point-slope form of the equation of a line, using one of the points, say (-6,1), as the reference point:

y - y1 = m(x - x1)

where y1 = 1, x1 = -6, and m = 1/3. Substituting in these values, we get:

y - 1 = (1/3)(x + 6)

Expanding and simplifying, we get:

y = (1/3)x + 3

This is the linear function that relates y to x.

17) Since all values of y are constant (-7) regardless of the value of x, we cannot write a linear function that relates y to x. Instead, we can say that y is a constant function with a value of -7. In other words, y = -7 for all values of x.

18) a. To write the linear function that relates y to x, we need to find the slope and y-intercept of the line that passes through the given points. Using the formula for slope, we have:

slope = (change in y) / (change in x)

= (y2 - y1) / (x2 - x1)

= (15 - 12) / (8 - 6)

= 1.5

Using the slope-intercept form of a linear function (y = mx + b), where m is the slope and b is the y-intercept, we can write:

y = 1.5x + b

To find the value of b, we can use any of the given points. Let's use (6, 12):

12 = 1.5(6) + b

b = 3

Therefore, the linear function that relates y to x is:

y = 1.5x + 3

b. The slope of the linear function is 1.5. This means that for every increase of one week in the puppy's age, its weight increases by 1.5 pounds on average. The y-intercept of the function is 3, which means that when the puppy is born (at 0 weeks), its weight is estimated to be 3 pounds.

c. To find out after how many weeks the puppy will weigh 33 pounds, we can use the linear function we found in part (a):

y = 1.5x + 3

Substitute y = 33 and solve for x:

33 = 1.5x + 3

30 = 1.5x

x = 20

Therefore, the puppy will weigh 33 pounds after 20 weeks.

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The value of the angle is 10.81° ( nearest hundredth). ( optionA)

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

The value of sin(tetha) = opposite/hypotenuse.

This means that if sin x = 3/16 , then 3 is the opposite and 16 is the hypotenuse. and the inverse of sin is sin^-1 . Same thing is applied to other functions like cos and tan.

If sinx = 3/16

sin x = 0.1875

x = sin^-1(0.1875)

x = 10.81° ( nearest hundredth)

therefore the missing value is 10.81°.

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The equations that can be used to solve for y are options 2, 3, and 5, and the solution is y = 30.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x.

Let's assume that the length of the room is y feet. Then, according to the problem, the width of the room is y-5 feet.

The area of the rectangular room is given by the formula:

Area = length x width

We are given that the area is 750 square feet. So we can write:

750 = y(y-5)

Simplifying this equation, we get:

y² - 5y - 750 = 0

This is a quadratic equation that can be solved using the quadratic formula:

y = (-b ± √(b² - 4ac)) / (2a)

where a = 1, b = -5, and c = -750.

Now let's check which of the given options can be used to solve this equation.

Option 1: y(y + 5) = 750

This equation is not equivalent to the quadratic equation we derived above. We cannot use it to solve for y.

Option 2: y² - 5y = 750

This is the same equation we derived above. It can be used to solve for y using the quadratic formula.

Option 3: 750 - y(y - 5) = 0

This equation is equivalent to the quadratic equation we derived above, but it is not in standard form. We can simplify it to y² - 5y - 750 = 0, which can be used to solve for y.

Option 4: y(y - 5) + 750 = 0

This equation is not equivalent to the quadratic equation we derived above. We cannot use it to solve for y.

Option 5: (y + 25)(y - 30) = 0

This is a factorization of the quadratic equation y² - 5y - 750 = 0. It can be used to find the roots of the equation, which are y = -25 and y = 30. However, since the length of the room cannot be negative, the only valid solution is y = 30.

Therefore, the equations that can be used to solve for y are options 2, 3, and 5, and the solution is y = 30.

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No, the ratio of circumference to radius is not the same for every circle.

Ratio refers to the quantitative relation between two or more values, typically expressed in the form of a fraction or a proportion.

No, the ratio of circumference to radius is not the same for every circle. The ratio of circumference to diameter, also known as pi (π), is a constant value that remains the same for every circle. It is approximately equal to 3.14 or 22/7. However, the ratio of circumference to radius varies depending on the size of the circle.

The formula for circumference of a circle is C=2πr, where C is the circumference and r is the radius. Therefore, the ratio of circumference to radius is C/r = 2π. This means that for circles of different sizes, the ratio of circumference to radius will differ since the value of pi remains the same while the radius changes.

For example, if we consider two circles, one with a radius of 2 cm and the other with a radius of 4 cm, the ratio of circumference to radius for the first circle will be 2π (since C = 2πr = 2π x 2 = 4π) and for the second circle, it will be 2π (since C = 2πr = 2π x 4 = 8π). Thus, the ratio of circumference to radius is not the same for every circle.

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Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

Of all rectangles with an edge of 10 meters, the one that has the greatest zone(area) could be a square.

To see why, let's assume that a rectangle with a border of 10 meters has measurements of length L and width W.

At that point, we know that:

2L + 2W = 10

Rearranging this condition, we get:

L + W = 5

Presently, we need to discover the most extreme range encased by the rectangle, which is given by:

Area = L x W

Able to illuminate for one variable in terms of the other utilizing the condition L + W = 5:

L = 5 - W

Substituting this expression for L into the condition for the zone, we get:

Zone = (5 - W) x W

Extending and disentangling this expression, we get:

Area = 5W - W²

To discover the most extreme esteem of this quadratic expression, we will take its subsidiary with regard to W and set it to break even with zero:

dArea/dW = 5 - 2W =

Tackling for W, we get:

W = 2.5

Substituting this esteem back into the condition for the edge, we get:

L = 2.5

Hence, the measurements of the rectangle that has the greatest region are L = 2.5 meters and W = 2.5 meters, which implies it could be a square. The most extreme zone enclosed by the rectangle is:

Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

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The solution to the given system of equations is x = 5, y = -1.

The system of equations is given as follows:

7x - 2y = 37    ....(i)

4x + y = 19     ....(ii)

To eliminate y, we need to multiply the second equation by 2 so that the coefficients of y in both equations become opposites:

7x - 2y = 37

8x + 2y = 38

Now we can add the two equations together to eliminate y:

15x = 75

x = 5

Now we can substitute x = 5 into equation (ii) to solve for y.

4x + y = 19

4(5) + y = 19

20 + y = 19

y = -1

Thus, the solution to the system of equations is:

x = 5, y = -1

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The given statement "The radical expressions √2 and √12 can be combined to become one radical expression through addition or subtraction. " is true because a single radical expression that represents the two original expressions.

When we simplify a radical expression, we try to write it in its simplest form. For example, we know that √4 is equal to 2 because 2 multiplied by itself gives us 4. Similarly, we know that √9 is equal to 3 because 3 multiplied by itself gives us 9.

We can simplify radical expressions further by combining them using addition or subtraction. For example, √4 + √9 is equal to √13 because we can add 2 and 3 to get 5 and take the square root of 5 to get √5.

Now, let's look at √2 and √12. We can simplify √12 to √(4 × 3) because 4 is a perfect square. This gives us √4 × √3, which simplifies to 2√3.

Therefore, we can write √2 + √12 as √2 + 2√3. This is one radical expression that combines the two original expressions using addition. We can also subtract √12 from √2 to get √2 - 2√3, which is another radical expression that combines the two original expressions using subtraction.

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For the given numbers, 78 < 0. 708

To compare two numbers, we need to look at their values and determine which one is larger or smaller. In this case, we have 78 and 0.708. We can start by comparing their whole number parts, which are 78 and 0, respectively. Since 78 is greater than 0, we know that 78 is a larger number.

But what about the decimal parts of these numbers? To compare them, we need to look at the place value of each digit. The first digit after the decimal point in 78 is 0, and the first digit after the decimal point in 0.708 is 7. Since 7 is greater than 0, we know that 0.708 is a larger number than 0.78 in terms of their decimal parts.

Now that we have compared the whole number parts and decimal parts separately, we can combine the results to determine the final comparison. Since 78 is larger than 0 and 0.708 is larger than 0.78 in terms of their decimal parts, we can conclude that:

78 < 0.708

We use the symbol "<" here because 78 is smaller than 0.708.

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A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.

Let's calculate the margin of error for the confidence interval and check if the value of  [tex]32.1[/tex] inches falls within the range.

Given:

Confidence interval: [tex](28, 32)[/tex] inches

Confidence level: [tex]80%[/tex]

Sample mean (x): Unknown

Sample size (n): Unknown

Population standard deviation (σ): Unknown

Belief: Population average height is  [tex]32.1[/tex] inches

To determine if [tex]32.1[/tex]  inches falls within the confidence interval, we need to calculate the margin of error (ME) for the confidence interval. The formula for the margin of error is:

ME = (Critical value) * (Standard deviation of the sample statistic)

Therefore, , we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.

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The measure of the center is 19.

we can predict that about 169 principals

A pie chart shows how the whole is divided into parts

A bar graph with the title favorite sport and the x-axis labeled sport and the y-axis labeled the number of students,

the proportion of students in the sample who prefer ice cream:

81/225 = 0.36

we can predict that about 1440 students prefer ice cream.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

Answer to Question 2:

The appropriate measure of the center for the given box plot is the median, and its value is 19.

Answer to Question 5:

Since 15 out of 80 people in the exhibit room are principals, we can estimate that 15/80 of the total attendees are principals. To estimate the total number of attendees who are principals, we can multiply this fraction by the total number of attendees:

15/80 x 900 = 168.75

So, we can predict that about 169 principals were in attendance at the conference.

Answer to Question 6:

Since the teacher gathered data on the subject that students preferred, a pie chart would be the best graphical representation of the data. A pie chart shows how the whole is divided into parts, which is exactly what the teacher is trying to show.

Answer to Question 7:

A bar graph with the title favorite sport and the x-axis labeled sport and the y-axis labeled the number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44 correctly displays the data.

Answer to Question 8:

A circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent correctly represents the data in the table.

Answer to Question 9:

To estimate the number of students who prefer ice cream, we can use the proportion of students in the sample who prefer ice cream:

81/225 = 0.36

We can estimate the total number of students who prefer ice cream by multiplying this proportion by the total number of students:

0.36 x 4000 = 1440

So, we can predict that about 1440 students prefer ice cream.

Hence, the answers to all question are:

the measure of the center is 19.

we can predict that about 169 principals

A pie chart shows how the whole is divided into parts

A bar graph with the title favorite sport and the x-axis labeled sport and the y-axis labeled the number of students,

the proportion of students in the sample who prefer ice cream:

81/225 = 0.36

we can predict that about 1440 students prefer ice cream.

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To find the surface area of an object, we need to calculate the area of all its faces and add them up.

Assuming that "W" stands for the width, "l" for the length, and "h" for the height, the surface area of the object would be:

Area of the bottom face = length x width = 17' x 21' = 357 square feet

Area of the top face = same as the bottom face = 357 square feet

Area of the front and back faces = height x width = 19' x 17' = 323 square feet (each)

Area of the left and right faces = height x length = 19' x 21' = 399 square feet (each)

Therefore, the total surface area of the object would be:

357 + 357 + 323 + 323 + 399 + 399 = 2158 square feet.

So, the surface area of the object is 2158 square feet.

Answer:1.25

Step-by-step explanation:

it just math

The expected profit if we assume that the contracts will be awarded independently is $44,400.

To calculate the expected profit, we'll multiply the profit from each contract by their respective probability and then sum the results.

Probability of getting the larger contract (P Larger) = 30% = 0.3

Profit from the larger contract (Profit Larger) = $60,000

Probability of getting the smaller contract (P Smaller) = 60% = 0.6

Profit from the smaller contract (Profit Smaller) = $20,000

Calculate the expected profit:

Expected Profit = (P Larger x Profit Larger) + (P Smaller x Profit Smaller) = $20,000 ) + (P Both x Profit Both) + (P None x Profit None)

Expected Profit = (0.3 x $60,000) + (0.6 x $20,000) + (0.18 x $80,000) + (0.28 x $0)

= $44,400

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To find the probability of drawing a face card or a red card, we first need to determine the total number of favorable outcomes and then divide it by the total number of possible outcomes (52 cards in a deck).

A face card can be a King, Queen, or Jack, and there are 12 face cards in a deck (3 face cards x 4 suits). There are 26 red cards in a deck (13 cards from hearts suit and 13 cards from diamonds suit). However, we must subtract the red face cards from the total, as they are already included in the 12 face cards. There are 6 red face cards (3 face cards x 2 red suits).

So, the total number of favorable outcomes is 12 face cards + 26 red cards - 6 red face cards = 32 cards.

The probability of drawing a face card or a red card is the number of favorable outcomes divided by the total number of possible outcomes: 32/52 ≈ 0.6154, or approximately 61.54%.

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The surface soil of the entire garden within the fencing that needs to be turned prior to planting is approximately 176.625 square feet.

To calculate the area of the circular garden, we need to know the radius of the garden. We can find the radius by using the formula for the circumference of a circle, which is

C = 2πr

Where C is the circumference and r is the radius.

In this problem, we are given that the circumference of the garden is 47.1 feet, so we can set up the equation as

47.1 = 2πr

Solving for r, we get

r = 47.1 / (2π)

r ≈ 7.5 feet

Now that we know the radius, we can calculate the area of the garden using the formula for the area of a circle, which is

A = πr²

Substituting the value we found for r, we get:

A = 3.14 × (7.5)²

A ≈ 176.625 square feet

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Answer:

The longer pole is approximately 55.4 ft tall

Step-by-step explanation:

Modeling the description will help you visualize and find the answer easier. By alternate interior angles theorem, the angle at the bottom (shown in picture below) is congruent to the angle of depression. Therefore, we can use tangent to find x.

tan 28=x/90

x=90*tan 28 (isolate the variable)

x is approx 47.9

to find the pole's height, you must add the shorter pole's height as well

h is approx 47.9+7.5

therefore, the longer pole's height is approx 55.4 ft tall

The maximum number of guests that Marshall can invite with a total budget cost of $81.90 is 63 guests.

Cost can refer to a variety of measures used to quantify the expense or effort required to solve a problem or perform a task.

For example, in optimization problems, the cost function represents a mathematical function that measures the objective or goal that needs to be minimized or maximized, subject to certain constraints.

First, we can find the cost per guest for the retirement party, which is $15.60 ÷ 12 guests = $1.30 per guest.

Next, we can use this unit rate to find the maximum number of guests that Marshall can invite with a total budget of $81.90:

Maximum number of guests = Total budget ÷ Cost per guest

Maximum number of guests = $81.90 ÷ $1.30 per guest

Maximum number of guests = 63 guests (rounded down to the nearest whole number)

Therefore, the maximum number of guests that Marshall can invite with a total budget of $81.90 is 63 guests.

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Answer: 3

Step-by-step explanation:

The highest and lowest value difference is the range. 9-6=3

The length from point A to point B on the clock is approximately 24.083 cm, which is closest to 24 cm. This is calculated using the Pythagorean theorem.

Using the Pythagorean theorem, we can calculate the length from point A to point B as follows

First, we need to find the length of the vertical line segment from point D to point A. This is equal to the radius of the clock, which is 24 cm.

Next, we can find the length of the horizontal line segment from point D to point B. This is equal to the distance from the top of the clock at point D to the hanger at point B, which is given as 2 cm.

Now, we can use the Pythagorean theorem to find the length from point A to point B

AB² = AD² + DB²

AB² = (24 cm)² + (2 cm)²

AB² = 576 cm² + 4 cm²

AB² = 580 cm²

AB ≈ 24.083 cm

Therefore, the length from point A to point B is approximately 24.083 cm, which is closest to 24 cm.

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Answer:

The length from point A to point B on the clock is approximately 24.083 cm, which is closest to 24 cm. This is calculated using the Pythagorean theorem.

Hope this helps :)

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The probability that the golfer will hit at least 6 times in his next 10 attempts is A. 20 %

To estimate the probability of the golfer hitting at least 6 times in his next 10 attempts using a table of random numbers, we can perform a simulation.

Let's use the given table of random numbers to simulate 10 attempts for each trial. We can consider each pair of digits as one attempt. We will perform 10 trials and count how many times the golfer hits at least 6 times in 10 attempts.

Now count the number of trials with at least 6 hits:

Trial 2, Trial 5, and Trial 9 have at least 6 hits. That's 3 out of 10 trials.

To estimate the probability, divide the number of successful trials (at least 6 hits) by the total number of trials:

Probability = (Number of successful trials) / (Total number of trials)

Probability = 3 / 10 = 0.3

The estimated probability that the golfer will hit at least 6 times in his next 10 attempts is 30%. There is no exact match among the possible answers, but the closest one is 20%.

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Answer:

Step-by-step explanation:= x+48=180 ( linier pair )

                                            = x=180-48

                                            = x=132

                                              = x+12=180 (liner pair)

                                              = x=180-12

                                              = x=168

A statement that represents a system of equations that could be used to determine the cost of a DVD and a CD, in dollars include the following: C. the system of equations is d = 3.2c and d = 5c - 8.50, for c, the cost of a CD, d, the cost of a DVD.

In order to write a system of linear equations to describe this situation, we would assign variables to the cost of a CD and cost of a DVD, and then translate the word problem into an algebraic equation (linear equations) as follows:

Since the cost of a DVD is 3.2 times the cost of a CD, or $8.50 less than 5 CDs, a system of linear equations that models the situation is given by;

d = 3.2c

d = 5c - 8.50.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The probability that the sample mean would be greater than 87.78 wpm is  0.8933.

The problem  provides information on the mean and variation of the amount of words per minute (wpm) read by sixth graders, and it asks for the likelihood of receiving a sample mean wpm bigger than a particular value if a random sample of 94 sixth graders is collected.

By using a standard normal distribution table or calculator and estimating the sampling distribution of the sample means as being normal using the central limit theorem, we can find the standard deviation of the sampling distribution and calculate the probability of obtaining a sample mean wpm that is less than or equal to the given value by subtracting this value from 1.

Calculations result in a likelihood of 0.8933, which means there is a good chance the sample mean wpm will be higher than the value provided.

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D) 81 is equivalent to 27^(4/3).

The expression 27^4/3 can be simplified using the rule that (a^m)^n = a^(m*n). Therefore, we can write,

27^(4/3) = (3^3)^(4/3)

Using the power of a power rule, we can simplify further,

(3^3)^(4/3) = 3^(3*4/3)

Simplifying the exponent, we get,

3^(4)

To check the other answer choices,

A. 4^3 is not equivalent to 27^4/3.

B. (27^1/3)^4 is equivalent to 27^(4/3), which we already simplified to 3^4. Therefore, this expression is also equivalent to 3^4.

C. 3^1/4 is not equivalent to 27^4/3.

D. 81 is equivalent to 3^(4).

Therefore, the expression 27^4/3 is equivalent to 3^4, which is answer choice D) 81.

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The only statement that is true is b, which states that the quadrilateral is a rectangle.

A quadrilateral is a polygon with four sides and four vertices. The sum of the interior angles of a quadrilateral is always 360 degrees. Quadrilaterals can have sides of different lengths and angles of different measures, giving rise to many different types of quadrilaterals with different properties.

First, we find the lengths of the sides of the quadrilateral:

AB = √[(7-6)² + (-1+4)²] = √10

BC = √[(4-7)² + (0-0)²] = 3

CD = √[(3-4)² + (-3+0)²] = √10

AD = √[(6-3)² + (-4+1)²] = √26

Then, we find the slopes of each pair of opposite sides:

AB: (7-6)/(−1+4) = 1/3

BC: (4-0)/(0-(-1)) = 4/1 = 4

CD: (-3-(-4))/(0-(-3)) = 1/3

AD: (6-3)/(-4-(-1)) = -1/5

Now we can analyze each statement:

a.) Rhombus

A rhombus is a quadrilateral with all sides of equal length. We found that AB = CD and AD ≠ BC, so not all sides are of equal length. Therefore, statement a is false.

b.) Rectangle

A rectangle is a quadrilateral with all angles equal to 90 degrees. We can find the slopes of adjacent sides and check if they are opposite reciprocals:

AB: 1/3

BC: 4

CD: 1/3

AD: -1/5

We can see that AB and CD have slopes of 1/3 and are opposite reciprocals, and BC and AD have slopes of 4 and -1/5, respectively, and are also opposite reciprocals. Therefore, all angles of the quadrilateral are 90 degrees. Also, since AB = CD and AD ≠ BC, the quadrilateral is a rectangle. Therefore, statement b is true.

c.) Square

A square is a special type of rectangle with all sides of equal length. We found that AB ≠ AD, so not all sides are of equal length. Therefore, statement c is false.

d.) None

We have determined that the quadrilateral is a rectangle, so it is not "none". Therefore, statement d is false.

Therefore, the only statement that is true is b, which states that the quadrilateral is a rectangle.

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The total amount of money in the account at the end of 5 years, compounded monthly, is $2,329.48.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To find the total amount of money in the account, we can use the formula for compound interest:

A = [tex]P*(1 + r/n)^{(n*t)}[/tex]

where:

A is the total amount of money in the account

P is the principal or initial amount of money in the account

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

In this case, P = $2,000, r = 0.03 (since 3% is equivalent to 0.03), n = 12 (since the interest is compounded monthly), and t = 5.

So, plugging in the values, we get:

A = [tex]2000*(1 + 0.03/12)^{(125)}[/tex]

A = [tex]2000(1.0025)^{60}[/tex]

A = $2,329.48 (rounded to the nearest cent)

Therefore, the total amount of money in the account at the end of 5 years, compounded monthly, is $2,329.48.

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