These triangles are
congruent by the
triangle congruence
postulate [? ].
A. Neither, they are not congruent
B. ASA
C. AAS

The side lengths that could be used to create a right triangle would be = 20, 21, 29. That is option C.

A right angle triangle is the type of triangle that has one side angle of 90° while the other two are less then 90°.

And in a right triangle, the square of the hypotenuse(the longest side of the triangle) is equal to the sum of the squares of the other two sides.

Thus, c²=b²+a²

The side lengths that could be used to creat a right angle triangle is 20, 21, 29.

where 29 = c = hypotenus

21= b = opposite side

20= a = adjacent side.

To prove this;

29² = 21²+20²

841 = 441 + 400

841 = 841

Therefore, the side length would be = 20, 21, 29.

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The estimated height of Anna at the age of 20 years is 166.6 cm and the estimated height of Raja at the age of 30 years is 225.3 cm.

A) Anna is 11 years old, and her height is 150 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.

So, Anna has achieved 90% of her final height, which is (150/0.9) = 166.67 cm.

Therefore, her final height can be estimated to be 98% of 166.67 cm, which is (166.67 x 0.98) = 163.33 cm

when she's 17 years old.

Now, to calculate her height at the age of 20 years, we will calculate the growth per year in 3 years. We know that she's already 98% of her final height at 17, which means only 2% of growth is remaining. So, the remaining growth is (2/100) x 163.33 = 3.27 cm.

Hence, Anna's height at the age of 20 years will be (163.33 + 3.27) = 166.6 cm.

B) Raja is 17 years old, and her height is 176 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.

So, Raja has achieved 98% of her final height, which is 176 cm. Therefore, her final height can be estimated to be 176/0.98 = 179.6 cm when she's 17 years old.

Now, to calculate her height at the age of 30 years, we will calculate the growth per year in 13 years.

So, the remaining growth for Raja will be (100 - 98)% = 2%, which is (2/100) x 179.6 = 3.592 cm per year.

Hence, Raja's height at the age of 30 years will be (176 + (3.592 x 13)) = 225.3 cm.

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The estimated height of Anna at the age of 20 years is 166.6 cm and the estimated height of Raja at the age of 30 years is 225.3 cm.

A) Anna is 11 years old, and her height is 150 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.

So, Anna has achieved 90% of her final height, which is (150/0.9) = 166.67 cm.

Therefore, her final height can be estimated to be 98% of 166.67 cm, which is (166.67 x 0.98) = 163.33 cm

when she's 17 years old.

Now, to calculate her height at the age of 20 years, we will calculate the growth per year in 3 years. We know that she's already 98% of her final height at 17, which means only 2% of growth is remaining. So, the remaining growth is (2/100) x 163.33 = 3.27 cm.

Hence, Anna's height at the age of 20 years will be (163.33 + 3.27) = 166.6 cm.

B) Raja is 17 years old, and her height is 176 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.

So, Raja has achieved 98% of her final height, which is 176 cm. Therefore, her final height can be estimated to be 176/0.98 = 179.6 cm when she's 17 years old.

Now, to calculate her height at the age of 30 years, we will calculate the growth per year in 13 years.

So, the remaining growth for Raja will be (100 - 98)% = 2%, which is (2/100) x 179.6 = 3.592 cm per year.

Hence, Raja's height at the age of 30 years will be (176 + (3.592 x 13)) = 225.3 cm.

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Answer:

1/2 is the slope

Step-by-step explanation:

Answer:

$50.40

Step-by-step explanation:

To find how much Lana will pay in total follow these steps.

First, multiply 40 by 1.05.

40×1.05=42.

This is how much she will pay for the food plus tax.

Now, multiply 42 by 1.2.

42×1.2=50.40

This is how much she will pay for the food, tax, and tip.

Lana will pay a total of $50.40.

Hope this helps!

a) -3x + 7y = 28 -4x + 3y = 12

7y - 28 = 3x

x = (7y - 28)/3

Substitution

-4(7y - 28)/3 + 3y = 12

-4(7y - 28)/3 = 12 - 3y

-4(7y - 28) = 3(12 - 3y)

-28y + 112 = 36 - 9y

112 - 36 = 28y - 9y

76 = 19y

y = 76/19

y = 4

x = [(7*4) - 28)]/3

x = [28 - 28]/3

x = 0/3

x = 0 Result x = 0, y = 4

b) x + 3y = -7 -7x - 4y = -19

x = -7 - 3y

Substitution

-7(-7 - 3y) - 4y = -19

49 + 21y - 4y = -19

17y = -19 - 49

17y = -68

y = -68/17

y = -4

x = -7 - 3(-4)

x = -7 + 12

x = 4 Result x = 4, y = -4

c) 3x + 2y = 4 6x - 3y = -27

x = (4 - 2y)/3

Substitution

6(4 - 2y)/3 - 3y = -27

6(4 - 2y)/3 = -27 + 3y

6(4 - 2y) = 3(-27 + 3y)

24 - 12y = -81 + 9y

-12y - 9y = -81 - 24

-21y = -105

y = -105/-21

y = 5

x = (4 - 2(5))/3

x = (4 - 10)/3

x = -6/3

x = -2 Result x = -2, y = 5

d) It is not complete

e) -x + 4y = -5 x - 6y = 7

x = 7 + 6y

-(7 + 6y) + 4y = -5

-7 - 6y + 4y = -5

-6y + 4y = -5 + 7

-2y = 2

y = 2/-2

y = -1

x = 7 + 6(-1)

x = 7 - 6

x = 1 Result x = 1, y = -1

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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When the pile of gravel, in the shape of a cone with equal base diameter and height, reaches a height of 11 feet, the height of the pile is increasing at a rate of 60/121π feet per minute. This rate indicates how fast the height of the pile is increasing at that specific height.

Let the height and radius of the cone be h and r respectively. Then the volume V of the cone is given by; V = 1/3 πr²h. Also given, the coarseness is such that the base diameter and height are always equal. Therefore, r = h/2. Also, given that gravel is being dumped at a rate of 25 ft³/min. The rate of change of volume with respect to time is given by; dV/dt = 25 ft³/min.

We need to find the rate at which the height of the pile is increasing when the height of the pile is 11 feet. Now we will find the relation between V and h;

V = 1/3 πr²hV = 1/3 π(h/2)²hV = 1/12 πh³.

Now differentiate both sides of the equation with respect to time;

dV/dt = d/dt (1/12 πh³)

dV/dt = 1/4 πh² dh/dt

From equation (1); dV/dt = 25 ft³/min

dV/dt = 1/4 πh²

dh/dt25 = 1/4 π(11/2)² dh/dt

dh/dt = 60/121π feet per minute.

Therefore, the height of the pile is increasing at a rate of 60/121π feet per minute when the height of the pile is 11 feet.

The concept used to solve this problem is related rates.

In related rates problems, we are given the rates at which certain variables are changing and we are asked to find the rate at which another variable is changing. To solve such problems, we typically set up an equation that relates the variables and then differentiate both sides of the equation with respect to time.

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Answer:

1 < -9

Step-by-step explanation:

A positive number can't be less than a negative

A line segment is best defined as a piece of a line with two endpoints.

This refers to the part of a line that is bounded by two distinct end points which contains point on the line in between.

Hence, the line segment is best defined as a piece of a line with two endpoints.

Therefore, the Option C is correct.

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Answer: B. a piece of a line with two endpoints

Step-by-step explanation: Right on edge 2023

The equation of the line for the given graph is y = - 4x + 110.

1)We can calculate the slope of the given line by,

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

where, (x1, y1) are the initial points and (x2,y2) are the final points of the line.

here, (x1, y1) = (5,90)

and, (x2,y2) = (0,110)

so,

m = (110 - 90)/(0 - 5) = -4

therefore, the equation of the line will be,

y = - 4x + 110

where 110 is the y-intercept of the line

2) Slope is the rate of change of the dependent variable with respect to the independent variable.

Here we can say that the slope shows the decrease in the balance of the savings accounts with respect to the weeks.

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Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

5

Step-by-step explanation:

Answer:

X +80°+ X + 57°+ X + 71° + 56°= 360°

3X + 264° = 360°

3X = 96°

X = 32°

Answer:

32°.

Step-by-step explanation:

The work is in the photo, I suppose.

The homework for the last week of school would take 6 seconds mod 11.

The problem can be modeled using a geometric sequence, where the first term is 1 and the common ratio is 2 since the amount of homework doubles each week. The nth term of the sequence can be found using the formula:

a_n = a_1 *\(r^{(n-1)\)

where a_1 = 1 and r = 2. We want to find the value of the 32nd term or a_32. Plugging in the values, we get:

a_32 = 1 * \(2^{(32-1)\) =\(2^{31\)

We can simplify this value by taking it mod 11. Since \(2^{10\) = 1024, which is congruent to 1 mod 11 (i.e., 1024 mod 11 = 1), we can use this fact to simplify \(2^{31\) as follows:

\(2^{31\)= \(2^{30\) * 2 = \((2^{10})^3\) * 2 = 1³ * 2 = 2

Therefore, the amount of homework for the last week of school would take 2 seconds, which is equivalent to 6 seconds mod 11 (i.e., 2 mod 11 = 6).

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Due to availability of evidence we support the claim that the bags are underfilled, therefore we reject the null hypothesis, under the condition bag filling machine works correctly at the 443.0 gram setting.

The null hypothesis is that the bags are considered not underfilled and the other alternative hypothesis is that the bags are underfilled.

The level of significance is 0.05 which means that we have  to reject the null hypothesis if the p-value  < 0.05.
Given,
The sample size is 48 and the sample mean is 439 grams. Standard deviation = 25 grams.
The test statistic is evaluated
Z = (x'- μ) / (σ / √n)

Here,
x' = sample mean,
μ = hypothesized population mean,
σ = population standard deviation,
n = sample size.

Staging the values we get:

Z = (439 - 443) / (25 / √48)
= -2.45

The p-value can be calculated applying a Z-table.
Z = -2.45 is approximately 0.0071.

Since the p-value (0.0071) is less than the level of significance (0.05), we reject the null hypothesis.

Hence, there is enough proof to support the fact that the bags are underfilled.

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So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

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The statement that is true about the boxplot is option (E) I, III, and IV

I. It is a left skewed distribution which has outliers.

True. The boxplot is skewed to the left, as the median line is closer to the bottom whisker than to the top whisker. Additionally, there are circles (outliers) on the left-hand side of the plot.

II. It is a symmetrical distribution which has outliers.

False. The plot is not symmetrical because the median line is not in the middle of the box.

III. The interquartile range is less than 1.

True. The box covers the range from the first quartile (Q1) to the third quartile (Q3), and the length of the box is less than 1.

IV. Approximately 75% of the observations have a GPA of less than 3.

True. The top of the box represents the 75th percentile, which is approximately 3.

Therefore, the correct option is (E) I, III, and IV

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The given question is incomplete, the complete question is:

Which statement is true about the boxplot below?

I. It is a left skewed distribution which has outliers.

II. It is a symmetrical distribution which has outliers.

III. The interquartile range is less than 1.

IV. Approximately 75% of the observations have a GPA of less than 3.

(A) I only

(B) II only

(C) II and III

(D) III and IV only

(E) I, III, and IV

Step-by-step explanation:

7/8, 1/4 is equal to 2/8 so just add 2/8 and 5/8 together

The quadrilateral ABCD indicates that it is a rhombus.

A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.

The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically

Lets mark the given points onto a graph

As you can see in the graph,

The points given for quadrilateral ABCD indicates that its is a rhombus

As, All sides are equal

opposites sides are parallel

Thus, The quadrilateral ABCD indicates that it is a rhombus.

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Given tannen's perspective on gender differences in communication,  Men far more than women negotiate for higher starting salaries because salary is a sign of status. So, correct option is C.

Based on Tannen's perspective on gender differences in communication, it is likely that you would find that men negotiate for higher starting salaries far more than women because salary is a sign of status.

Tannen argues that men are socialized to use language as a way to establish and maintain their status in society, and negotiating for a higher salary is one way for men to assert their status.

Women, on the other hand, are socialized to use language as a way to build and maintain relationships, and negotiating for a higher salary may be perceived as aggressive or confrontational, which goes against societal expectations for women's communication style.

Therefore, option (c) is the most likely answer.

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Complete question is:

Given tannen's perspective on gender differences in communication, what would you expect to find regarding salary negotiation and gender

answer choices:

a. Women negotiate for higher starting salaries far more than men because they wish to prove their worth

b. Men and women negotiate for higher starting salaries about equally

c. Men far more than women negotiate for higher starting salaries because salary is a sign of status

d. None of the above is true

The incidence of brain or nervous system cancer among cell phone users is relatively low, with the estimated percentage being slightly lower than the rate among non-users, which was found to be 0.0326%.

1. Based on a study of 420,020 cell phone users, it was found that 0.0310% of them developed cancer of the brain or nervous system. To estimate the percentage of cell phone users who develop this type of cancer with a 90% confidence interval, we can use statistical methods.

2. The 90% confidence interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system is calculated as follows. We start by determining the standard error, which is the square root of the product of the observed proportion and its complement, divided by the sample size. In this case, the observed proportion is 0.0310% (or 0.000310) and the sample size is 420,020.

3. Next, we calculate the margin of error, which is obtained by multiplying the standard error by the critical value associated with a 90% confidence level. The critical value can be found using a normal distribution table or statistical software. For a 90% confidence level, the critical value is approximately 1.645.

4. Finally, we construct the confidence interval by subtracting the margin of error from the observed proportion and adding it to the observed proportion. The lower bound of the confidence interval is obtained by subtracting the margin of error from the observed proportion, and the upper bound is obtained by adding the margin of error to the observed proportion.

5. In this case, the 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system is approximately (0.0308%, 0.0312%). This means that we are 90% confident that the true percentage of cell phone users who develop this type of cancer falls within this interval.

6. To summarize, based on the study of 420,020 cell phone users, a 90% confidence interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system is (0.0308%, 0.0312%). This provides a range within which the true percentage is likely to lie with 90% confidence.

7. In this particular case, the observed proportion of 0.0310% was used to estimate the true percentage of cell phone users who develop cancer of the brain or nervous system. By calculating the standard error and margin of error, we obtained a confidence interval that gives us a range of plausible values for the true percentage. The confidence interval estimate is (0.0308%, 0.0312%), indicating that we can be 90% confident that the true percentage falls within this interval. This means that the incidence of brain or nervous system cancer among cell phone users is relatively low, with the estimated percentage being slightly lower than the rate among non-users, which was found to be 0.0326%.

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Answer:

Step-by-step explanation:Okay so first you have to find out if -2 is your growth or y-axis.Your y-axis is when the line hits the up and down graph line.Your -2 is most likely your growth now you need to create a starting point it can be 10 for example then you would subtract 2 from it everytime you place a new dot like (0,10) and then (1,8) and so on.If u make a table the x will be on the left side this is where u will put the number 0,1,2,3.for everytime you make a dot on the graph.

The statement is false because for an ordered pair that have an x-coordinate of zero will not necessarily lie on the x- axis . What will determine if it will lie on the x axis is the value of y. For example if the ordered pair are (0, 9) , the x coordinates is zero but the y value is 9 that means the point will never lie on the x axis . It can only lie on the x axis when both are zero(0, 0) or when y is 0 and x is not zero(2, 0) .

Answer:

Kindly check explanation

Step-by-step explanation:

Given that, probability of obtaining a first win is related rank by the equation : y = -7.3x + 112 ; where ; x = rank ; y = percentage chance

The slope of the line = -7.3 means that as the rank increases by 1, the probability of winning decreases by 7.3. (negative slope value)

y - intercept = 112, thus means an unranked team has a 112 percent Chance of winning first game.

C.) school ranked #5

x = 5

y = -7.3(5) + 112

y = - 36.5 + 112

y = 75.5 = 76%

D.) school ranked #15

x = 15

y = -7.3(15) + 112

y = - 109.5 + 112

y = 2.5 = 2.5%

y = 3%

There are many answers we could go with here. One such answer could be the following:

You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.

---------------------------------

Another possible answer could be this:

You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.

---------------------------------

Another possible answer could be this:

Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.

-----------------------------------

I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.

Answer:

Elapsed time: 1 hour and 9 minutes

Step-by-step explanation:

7:41 - 8:41 = 1 hour

8:41 - 8:50 = 9 minutes

1 hour and 9 minutes

Hope that helps!

The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)

The given differential equation is: 2xyy' + (x² - y²) = 0

We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.

Put y = vx and y' = v + xv'

Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x

Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x

Substituting these values in the given differential equation:

2x(v)(v + xv') + (x² - v²x²) = 0

2v + 2x²v' + x - v² = 0

2x²v' + 2v/x - v³/x = -1/x

We can write the above differential equation as:

2x²dv/dx + 2v/x = v³/x - 1/x

Separating the variables and integrating both sides:

∫dx/x = ∫[v/(v² - 2)]dv/x

⇒ ln |x| + ln |v² - 2| + C

⇒ ln |x(v² - 2)| = ln |Cx|

⇒ v² - 2 = Cx² (where C is a constant)

⇒ v = ±√(Cx² + 2)

Putting the value of v in y = vx, we get:

y = x√(Cx² + 2) and y = -x√(Cx² + 2)

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It would take approximately 1.20 hours (or 1 hour and 12 minutes) for the runner to finish the 11 km race at a pace of 5.7 mi/hr.

To determine how long it would take a runner to finish an 11 km race at a pace of 5.7 mi/hr, we need to convert the pace from miles per hour to kilometers per hour. Once we have the pace in kilometers per hour, we can calculate the time it takes to cover 11 km.

1 mile is approximately equal to 1.60934 kilometers.

So, the pace of 5.7 mi/hr is equal to 5.7 * 1.60934 km/hr ≈ 9.17 km/hr.

Now, we can calculate the time it takes to cover 11 km at a pace of 9.17 km/hr:

Time = Distance / Speed

Time = 11 km / 9.17 km/hr

Time ≈ 1.20 hours

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Answer:

$1136.60

Step-by-step explanation:

The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.

We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:

f(x)=1800(1 + r)^x

We also know the time intervals is 6 months. So that can be substituted as well:

f(x)=1800(1 + r)^6

They told you that the growth rate is 8.5%, which is 0.085 of 1.

f(x)=1800(1 + 0.085)^6

Add the 2 values in the parentheses and you get 1.085

f(x)=1800(1.085)^6

Now solve.

Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:

1800(1.63146751) = 2936.64152. That rounds to 2936.60

So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.

$2936.60 - $1800 = $1136.60