Find the length of the arc, s, on a circle of radius r intercepted by a central angle 0 Express arc length in terms of Then round your answer to two decimal places
Radius, r= 5 feet, Central angle, o = 230°
S
feet
(Simplify your answer. Type an exact answer in terms of Use integers or fractions for any numbers in the expression)
S = feet
(Round to two decimal places as needed.)
Answers
The length of the arc intercepted by a central angle of 230° on a circle with a radius of 5 feet is approximately 4.02 feet.
To find the length of the arc, denoted as s, on a circle with radius r intercepted by a central angle θ, we can use the formula:
s = (θ/360°) * 2πr
Given:
Radius, r = 5 feet
Central angle, θ = 230°
Substituting the values into the formula, we have:
s = (230°/360°) * 2π * 5
Simplifying the expression:
s = (23/36) * 2π * 5
s = (23/36) * 10π
s = (23/18)π
To round the answer to two decimal places, we can approximate the value of π as 3.14:
s ≈ (23/18) * 3.14
s ≈ 4.02 feet
Therefore, the length of the arc intercepted by a central angle of 230° on a circle with a radius of 5 feet is approximately 4.02 feet.
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Related Questions
Please help, will give branliest and 20 points:
5/3 - 2 1/3
Answers
Answer:
-2/3
Step-by-step explanation:
Answer:
-2/3
Step-by-step explanation:
First, convert 2 1/3 to an improper fraction
2*3 = 6
7/3
Then simply subtract
5/3 - 7/3 = -2/3
what is the 95% confidence interval estimate of the difference in traffic between a rural and urban location? assume that all other independent variables remain constant.
Answers
To find the confidence interval statistical analysis such as hypothesis testing or regression analysis is used. However, it is impossible to calculate without data.
To estimate the difference in traffic between a rural and urban location with a 95% confidence level, you would need specific data or information about the traffic counts or relevant measurements from both locations. The confidence interval estimate can be obtained using statistical analysis techniques such as hypothesis testing or regression analysis.
Typically, the process involves collecting data on traffic counts or related variables from both the rural and urban locations. Then statistical methods are applied to calculate the confidence interval estimate based on the sample data. The specific formula or method used would depend on the nature of the data and the analysis approach chosen.
Without specific data or information about the traffic counts or measurements, it is not possible to provide a numerical estimate for the 95% confidence interval of the difference in traffic between a rural and urban location.
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What is the greatest common factor of 5, 10, and 45?
Answers
Answer:
It would be 5
Step-by-step explanation:
5 equals everything that is 5 or 10
for example, 5 * 5 equals 25
Odd numbers times 5 equals a odd number with the 5 at the end
Even numbers times 5 equal an even number with a 0 at the end
I hope that helped
Answer: the greatest common factor is 5 for 5, 10, 45
Step-by-step explanation:
Janay cut a drinking straw into three pieces (shown below) to investigate a triangle postulate. He moves the straw pieces to make triangles that have been translated, rotated, and reflected from an original position. The end of one piece is always touching the end of another piece. Which postulate could Zhan be investigating using only these straw pieces and no other tools?
Answers
Answer:
B. If three sides of one triangle are congruent to three sides of a second triangle then, the triangles are congruent.
in a correlational study on the relationship between caffeine consumption and heart disease in police officers, the fact that the officers could not be randomly assigned to high and low caffeine groups suggests the results may be due to:
Answers
Confounding variables can affect the relationship between caffeine consumption and heart disease in a correlational study of police officers. Controlling for these variables is necessary to accurately assess the relationship.
The fact that the officers in the study could not be randomly assigned to high and low caffeine groups suggests that the results of the study may be due to confounding variables. A confounding variable is a third variable that is correlated with both the independent variable (in this case, caffeine consumption) and the dependent variable (in this case, heart disease). If a confounding variable is present, it can make it difficult to determine the true relationship between the independent and dependent variables.
For example, if the officers who consume more caffeine also have other unhealthy habits (such as smoking or eating unhealthy diets) that increase their risk of heart disease, it may be difficult to determine the true effect of caffeine on heart disease. In this case, the unhealthy habits would be the confounding variable, and controlling for these variables would be necessary to accurately assess the relationship between caffeine consumption and heart disease.
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The bird population on an island is declining at a rate of 2. 2% per year. The population was 3500 in the year 2009. Which answer is the best prediction of the population in the year 2014? 2730 3062 3132 3423.
Answers
The best prediction of the bird population in the year 2014 with the initial population being 3500, and a declining rate of 2.2% per year is 3132.
What is an equation?An equation is used to compare two equivalent expressions with help of an equal sign('=').
We know that the population of the bird at the starting was 3500, and as it is been decreasing at a rate of 2.2%, therefore, after a year the population of the bird that will be left would be 97.8%(100%-2.2%) of the original values, similarly, after n number of years the population would be \((97.8\%)^n\) of the original value. therefore, the equation that can be used to depict the number of birds after n number of years can be written as,
\(y =3500(0.978)^n\)
where n is the number of years and y is the number of birds left after n years.
Now, as we need to find the number of birds that will be left in the year 2014,
n = number of years = 2014 - 2009 = 5
Substituting the values in our equation to find out the number of birds in the year 2014,
\(y =3500(0.978)^n\\\\y =3500(0.978)^5\\\\y =3,131.57\approx 3132\)
Hence, the best prediction of the bird population in the year 2014 with the initial population being 3500, and a declining rate of 2.2%/year is 3132.
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9) Norma and Lauretta went to a store to buy DVDs on sale for $5 each, tax included. Norma purchased two
and a half times as many DVDs as Lauretta purchased. Together they purchased 14 DVDs, Which system of
linear equations can be used to determine , the number of DVDs Norma purchased, and I, the number of DVDs
Lauretta purchased?
Answers
Answer: H
Step-by-step explanation:
The cost of $5 has not meaning for what we want. The are only trying to figure out the number each bought so that was thrown in to throw you off.
you know they bought 14 total DVDs
n+L=14 the number norma bought + number Lauretta bought is 14
Th next key sentence is Norma purchased two and a half times as Luaretta
In the sentence:
Norma is n
purchased is your = sign (usually in word problems "is" "costs" etc is =
Two and 1 half \(2\frac{1}{2}\) = \(\frac{5}{2}\)
times is * (multiplied)
Lauretta is l
Substitute each symbol for each work
Norma(n) purchase(=) two and a half \(\frac{5}{2}\) times* L
n= \(\frac{5}{2}\)L
n+L=14 these are your 2 equations H
PLS IM BEGGING ILL GIVE CROWN!
ANSWER PLSSS FOR MY FINALS! A soccer team sells T-shirts for a fundraiser. The company that makes the T-shirts charges $\$10$ per shirt plus a $\$20$ shipping fee per order.
a. Write and graph an equation that represents the total cost (in dollars) of ordering the shirts. Let $t$ represent the number of T-shirts and let $c$ represent the total cost (in dollars).
Equation: c (x) = 10x + 20
PLS MAKE THE GRAPH TOO
HAPPY SUMMMER
Answers
The graph is a straight line that starts at the point (0, 20) and increases by 10 units on the y-axis for every 1 unit increase on the x-axis. This represents the linear relationship between the number of T-shirts ordered and the Total cost.
The total cost of ordering the shirts:
\[c(x) = 10x + 20\]
In this equation, $x$ represents the number of T-shirts ordered, and $c(x)$ represents the total cost in dollars. The cost per shirt is $10, and there is a flat shipping fee of $20 per order.
To graph this equation, we can plot points on a coordinate plane, where the x-axis represents the number of T-shirts ($x$) and the y-axis represents the total cost ($c$) in dollars. We can choose a few values for $x$ and calculate the corresponding values of $c$ using the equation.
Let's choose some values of $x$ and calculate the corresponding values of $c$:
- If $x = 0$, there are no T-shirts ordered, so the total cost is $c(0) = 10(0) + 20 = 20$.
- If $x = 1$, there is one T-shirt ordered, so the total cost is $c(1) = 10(1) + 20 = 30$.
- If $x = 2$, there are two T-shirts ordered, so the total cost is $c(2) = 10(2) + 20 = 40$.
We can plot these points on the graph and connect them to create a straight line. Here's how the graph looks:
|
50 +-----------------------------------------------------------
|
40 + * (2, 40)
|
30 + * (1, 30)
|
20 + * (0, 20)
|
+-----------------------------------------------------------
0 1 2
The graph is a straight line that starts at the point (0, 20) and increases by 10 units on the y-axis for every 1 unit increase on the x-axis. This represents the linear relationship between the number of T-shirts ordered and the total cost.
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The component of statistical methodology that includes the collection, organization, and summarization of data is called:
Answers
The component of statistical methodology that encompasses the collection, organization, and summarization of data is referred to as descriptive statistics.
Descriptive statistics is a fundamental aspect of statistical methodology that focuses on the initial stages of data analysis. It involves the collection of data through various methods such as surveys, experiments, or observational studies. This data is then organized and structured in a systematic manner to facilitate a comprehensive understanding of its characteristics.
The first step in descriptive statistics is data collection. This can involve various techniques such as sampling, where a subset of the population is selected to represent the entire group. The collected data can be quantitative (numerical) or qualitative (categorical), depending on the nature of the study.
Once the data is collected, it needs to be organized in a meaningful way. This can involve sorting, categorizing, and arranging the data into different groups or categories. For quantitative data, measures such as frequency distributions, histograms, and scatter plots can be used to organize and display the data. For qualitative data, methods such as tables, charts, or graphs may be employed to summarize the information.
Finally, descriptive statistics involves summarizing the collected and organized data to extract key insights and characteristics. This can include measures such as central tendency (mean, median, mode), variability (range, variance, standard deviation), and correlation. These measures provide a concise summary of the data, enabling researchers to gain a better understanding of its overall patterns, trends, and distribution.
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53(2x−6)+18=23(x+3)−4.
Answers
Answer:
365/83
Step-by-step explanation:
Distribute where we can
106x - 318 + 18 =23x + 69 - 4
Get variables on one side and constants on the other
106x - 23x = 65 + 300
Do the math
83x = 365
Divide both sides by 83
365/83
Answer:
x = 365/83
Step-by-step explanation:
53(2x−6)+18=23(x+3)−4
106x-318+18=23x+69-4
106x-23x=69-4+318-18
83x = 365
x = 365/83
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
Answers
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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factored form of 2x*2+13x+20
Answers
Answer:
(2x+5)(x+4)
Step-by-step explanation:
After factoring we can find that it equals
(2x+5)(x+4)
Answer:
(2x +5) (x+4)
Step-by-step explanation:
2x*2+13x+20
(2x + )(x+ )
Factoring 20 into 4 and 5 so we can get 13 in the middle
(2x +5) (x+4)
2*4 +5 = 13 for the middle term
find the equation of the tangent line to the curve = 4cosy=x 4cosx at the point (0,4)(0,4).
Answers
The equation of the tangent line to the curve 4cosy=x+4cosx at the point (0,4) is y = -1x + 4.
To find the equation of the tangent line, we first need to find the derivative of the given curve with respect to x. Taking the derivative implicitly, we get:
\(d/dx (4cosy) = d/dx (x + 4cosx)\)
Using the chain rule, the derivative of 4cosy with respect to x is \(-4siny * dy/dx\), and the derivative of \(x + 4cosx\) with respect to x is 1 - 4sinx. Setting these equal, we have:
\(-4siny * dy/dx = 1 - 4sinx\)
Next, we evaluate this equation at the point (0,4) to find the slope of the tangent line at that point. Plugging in x = 0 and y = 4, we get:
\(-4sin4 * dy/dx = 1 - 4sin0\)
Simplifying, we find that dy/dx = 1.
So, the slope of the tangent line at the point (0,4) is 1. Using the point-slope form of a linear equation, we have y - 4 = 1(x - 0), which simplifies to y = x + 4.
Therefore, the equation of the tangent line to the curve at the point (0,4) is y = x + 4.
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Find the equation of the tangent line to the curve = \(4cosy= x4cosx\) at the point (0,4) and (0,4).
HELP ME PLEASSE!!!!! I'M GIVING 100 POINTS! IF YOU ANSWER ALL OF THEM, I WILL GIVE BRAINLEIST!!! PLEASSSE HELP!!
On Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12.1 feet. The elevation of his friend Tammy’s house is times the elevation of Winston’s house.
Part A
How many times greater is the elevation of Winston’s house than the elevation of the ocean’s surface at 2 p.m.?
Part B
What is the elevation of Tammy’s house?
Part C
How many times greater is the elevation of Tammy’s house than the elevation of the ocean’s surface at 2 p.m.?
Part D
On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was times the elevation of the ocean’s surface. What elevation did Winston reach during his dive
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway?
Answers
Part A.)
12.1 / 2.2 = 5.5
So, the elevation of Winston's house is 5.5 times greater than the elevation of the ocean at 2 p.m.
Part B.)
My apologies if any of the following equations is not the right number, I had looked up the equation for the right number.
12.1 x 3.5 = 42.35
So the elevation of Tammy's house is 42.35.
Part C.)
42.35 / 2.2 = 19.25
the elevation of Tammy's house is 19.25 times greater than the elevation of the ocean.
Part D.)
Had to look for the number again. Next time, could you possibly make sure that all of the numbers are here? It makes it a lot easier.
-2.5 x 20.2 = -50.5
Winston reached an elevation of -50.5 feet.
Part E.)
-50.5 / 2 = -25.25
He had stopped at -25.25.
Again, my apologies if some numbers are incorrect. You did not give them, so I went looking for them.
if you set alpha to 0.05 and the p-value is 0.06, what would you conclude?
Answers
Since the p-value (0.06) is greater than the alpha level (0.05), you would fail to reject the null hypothesis.
The alpha level, or significance level, is the threshold below which you would reject the null hypothesis in favor of the alternative hypothesis. The p-value is the probability of observing a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true.
In this case, you set the alpha level at 0.05, meaning that there is a 5% chance of incorrectly rejecting the null hypothesis if it is true. The p-value of 0.06 indicates that there is a 6% chance of observing a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. Since 6% is greater than 5%, you do not have enough evidence to reject the null hypothesis.
Based on the alpha level of 0.05 and the p-value of 0.06, you would conclude that there is not enough evidence to reject the null hypothesis, and you should fail to reject it.
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2. Multiply each coordinate by 3 in (4, 9).
Answers
We just multiply each part of the coordinate
\(\begin{gathered} 3\cdot(4,9)=(3\cdot4,3\cdot9) \\ =(12,27) \end{gathered}\)Answer: (12, 27)
slope rise and run pleasee
Answers
The completed blanks are
Type of slope = positiveRise = 3.1Run = 0.75Slope = 4.13How to determine the slopeFrom the question, we have the following parameters that can be used in our computation:
The table of values
The rise is the difference between y values
So, we have
Rise = 6.2 - 3.1 = 3.1
For the run, we have
Run = 3 - 2.25 = 0.75
So, we have
Slope = 3.1/0.75
Slope = 4.13
Hence, the slope is 4.13
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Change the mixed form into improper fraction.
\(3 \times \frac{3}{8} = \)
Answers
Which equation would make this system consistent and dependent?
2x+y=-4
6x-3y=12
y=3x-4
y=2x+5
Answers
Answer:
The second one
Step-by-step explanation:
Jack split 25 jellybeans between his brother and himself so that his brother has one more than twice the number Jack has. How many jellybeans does each have?
Answers
And his brother has 17
Answer:
Jack has 8 and his brother has 17
Step-by-step explanation:
j = # jack has
b = # brother has
j + b = 25
b = 1 + 2j (brother has one more than twice the amount jack has)
j + 1 + 2j = 25
3j = 24
j = 8
b = 25-8 or 17
Simplify.
4(3y+2)-11
Answers
Answer:
12 y − 3
Step-by-step explanation:
4(3y+2)-11
Expand 4(3y+2): 12y+8
12y+8-11
=12y-3
Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121
Answers
The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50
To find the change in profit (ΔP) when the number of units (Δx) increases by 5.
we need to evaluate the marginal profit function and multiply it by Δx.
The marginal profit function is given by dP/dx = 12.1(60 - 3x).
We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.
dP/dx = 12.1(60 - 3(121))
= 12.1(60 - 363)
= 12.1(-303)
= -3666.3
Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.
ΔP = dP/dx×Δx
= -3666.3 × 5
= -18331.5
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Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) integral (6 sec(θ) tan(θ))/(sec2(θ)-sec(θ)) dθ
Answers
The solution to the given integral is 6 ln|sec(θ) - 1| + C, where C is the constant of integration. We used a trigonometric identity and a substitution to simplify the integral and express the answer in terms of natural logarithms.
We can start by factoring the denominator of the integrand using the identity sec²(θ) - sec(θ) = sec(θ)(sec(θ) - 1). Then, we can make the substitution u = sec(θ) - 1, which gives us du/dθ = sec(θ)tan(θ) and dθ = du / (sec(θ)tan(θ)):
integral ∫((6 sec(θ) tan(θ))/(sec²(θ)-sec(θ))) dθ
= integral ∫((6 sec(θ) tan(θ))/(sec(θ)(sec(θ) - 1))) dθ
= integral ∫(6 du/u)
= 6 ln|u| + C
= 6 ln|sec(θ) - 1| + C
Therefore, the solution to the integral is 6 ln|sec(θ) - 1| + C.
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Benjamin believes that \( \frac{1}{2} \)% is equivalent to 50%. is he correct? why or why not?
Answers
First, we convert 1/2% to a decimal.
\(\frac{1}{2}\%=\frac{0.5}{100}=0.005\)Similarly:
\(undefined\)What is 5 1/2 x 5 = ?
Answers
Answer:27.5
Step-by-step explanation:
i did this with a calculator, but the answer is
27.5
Learning Task 5 : In your answer sheet , prove the theorem , using the given below . if a quadrilateral is inscribed in a circle , then its opposite angles are supplementary." Given : Quadriateral ABCD is inscribed in OE Prove : ∠ABC and ∠ABC are supplementary ∠DAB and ∠DCB are supplementary
Answers
Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC
Step-by-step explanation:
write a report discussing the impact of these technologies on modern management and individual behavior and decision-making.
Answers
technologies have transformed modern management and individual behavior and decision-making in numerous ways.
Technologies have significantly impacted modern management and individual behavior and decision-making in various ways. One key aspect is the increased accessibility to data and information, enabling managers to make more informed decisions. Advanced analytics and data visualization tools allow for better analysis of complex data sets, leading to improved strategic planning and resource allocation.
Another important aspect is the enhancement of communication and collaboration among teams. Technologies such as video conferencing and project management software have facilitated a seamless flow of information across geographical boundaries. This has fostered a more inclusive and agile work environment, making it easier for managers to coordinate tasks and motivate their team members.
Additionally, automation technologies have streamlined many routine tasks, freeing up managers to focus on more strategic responsibilities. This has led to improved efficiency and productivity, allowing organizations to respond more effectively to dynamic market conditions. Moreover, artificial intelligence and machine learning can provide personalized support to individual employees, enhancing their decision-making abilities.
On the other hand, the widespread adoption of these technologies can also pose challenges. Issues related to privacy and data security have become increasingly significant, and managers must be proactive in addressing these concerns to protect their organization and employees. Furthermore, the rapid pace of technological change can lead to information overload and increased stress levels, potentially hindering individual decision-making.
While these advancements offer many benefits such as improved data analysis, enhanced communication, and increased efficiency, they also present challenges that must be addressed. It is crucial for managers to strike a balance between leveraging technology and managing potential risks to maximize the benefits for their organizations and employees.
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STOP WITH THE LINKS AND JUST ANSWER THE QUESTION
Which graph represents the equation y=2/3x−2?
Answers
Answer:Graph A
Step-by-step explanation:
I just took the test and the answer was A
Answer:
The Graph in the top left corner
Mary wants to join a gym. Gym A costs $24. 15 plus an additional $4. 50 for each visit. Gym B has no initial fee but costs $7. 95 for each visit. After how many visits will both plans cost the same?
Answers
After 7 visits, both Gym A and Gym B will cost approximately the same amount.
To find out when both gym plans will cost the same, we need to set them equal to each other and solve for the number of visits. Let's call the number of visits x.
For Gym A, the cost is the initial fee of $24.15 plus $4.50 for each visit. So the cost can be written as:
Cost of Gym A = $24.15 + ($4.50 x)
For Gym B, there is no initial fee, but each visit costs $7.95. So the cost can be written as:
Cost of Gym B = $7.95x
Now we can set the two costs equal to each other and solve for x:
$24.15 + ($4.50 x) = $7.95x
Simplifying this equation, we get:
$24.15 = $3.45x
Dividing both sides by 3.45, we get:
x ≈ 7
Therefore, after 7 visits, both Gym A and Gym B will cost approximately the same amount. If Mary plans to visit the gym more than 7 times, then Gym B will be the more cost-effective option. However, if Mary plans to visit the gym less than 7 times, then Gym A will be the better option.
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An agent is paid a commission of 2% on the total sales in a year and a bonus of 0.5% on the excess of sales over Rs. 9,00,000. Find how much he receives as commission if the bonus amounts is Rs. 1500.
Ans:Rs.42500
Answers
The amount of commission the agent receives if the bonus amount is Rs. 1,500, is Rs. 24,000.
How the commission is computed:To find the commission received by the agent, we first determine the excess sales using the bonus rate and bonus amount.
The excess sales are added to Rs. 900,000 to determine the total sales for the year.
The commission rate is applied to the total sales to ascertain the amount of the commission the agent received.
Commission on the total annual sales = 2%
Bonus on the excess of sales over Rs. 900,000 = 0.5%
Bonus amount = Rs. 1,500
Excess sales over Rs. 900,000 = Rs. 300,000 (Rs. 1,500/0.5%)
Total sales = Rs. 1,200,000 (Rs. 900,000 + Rs. 300,000)
Commission amount = Rs. 24,000 (Rs 1,200,000 x 2%)
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