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%)
Learn more about agent commissions at https://brainly.com/question/20796288
#SPJ1
If there is inverse variation and y = 3 y = 3 when x = 24 x = 24 , find x x when y = 18 y = 18 . x = 1 x = 4 x = − 1 x = − 6
SHOW WORK FOR BRAINLIST DUE TODAY
The transformations from the parent function are
Translation left by 3 unitsReflection across the x-axisTranslation down by 4 unitsThe graph of the absolute functionFrom the question, we have the following parameters that can be used in our computation:
g(x) = -|x + 3| - 4
The above function is an absolute value function
Next, we plot the graph using a graphing calculator
See attachment for the graph
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = |x| --- the parent function of an absolute value function
g(x) = -|x + 3| - 4 -- the transformed function
First, we have the transformation to be:
From f(x) = |x| to f'(x) = |x + 3|
This means the function is translated left by 3 units
Next, we have:
From f'(x) = |x + 3| to f'(x) = -|x + 3|
This means the function is reflected across the x-axis
Lastly, we have:
From f'(x) = -|x + 3| to g(x) = -|x + 3| - 4
This means the function is translated down by 4 units
Read more about transformation at
brainly.com/question/27224272
#SPJ1
10 less than a number
An arithmetic sequence has first term 13 and common difference 6. Find the 25th term
of the sequence.
Answer:
a₂₅ = 157
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 13 and d = 6 , then
a₂₅ = 13 + (24 × 6) = 13 + 144 = 157
please help ASAP will give brainlest IF correct, and if you answer first! thanks sm
Answer:
x = 50
Step-by-step explanation:
we have 110, so
180 - 110 = 70
sum of all angles is 180
60 + 70 + x = 180
x = 180 - 60 - 70
x = 50
please help me find the answer
Answer:
the last one is obviously represent a linear of function
At a store, a shirt was marked down in price by $10.00. A pair of pants doubled in price. Following these changes, the price of every item in the store was cut in half. write two different expressions that represent the new cost of the items, using s for the cost of each shirt & P for the cost of a pair of pants. Explain the different information each one shows.
The required new price of the shirts and pair of paints is given as y = [s - 10]/2 and y = [2p]/2 respectively,
Given that,
At a store, a shirt was marked down in price by $10.00. A pair of pants doubled in price. Following these changes, the price of every item in the store was cut in half.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
let y be the total cost for each different item
cost of the shirt = s - 10 and pair of pants = 2p
According to the question,
y = s - 10 / 2 and y = 2p / 2
Thus, the required new price of the shirts and pair of paints is given as y = [s - 10]/2 and y = [2p]/2 respectively,
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
how healthy are the employees at direct marketing industry? a random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period). use these data to create a 95% confidence interval for the population mean days absent for sickness.
The sample mean is 5.0833 and the standard deviation is 3.476 and the confidence interval is (2.87, 7.29).
In the given question, a random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period).
Using these data to create a 95% confidence interval for the population mean days absent for sickness
2 5 3 7 10 0 6 8 5 11 3 1
a) We have to find the sample mean and the standard deviation (round to two decimal places).
The sample mean;
X = 2+5+3+7+10+0+6+8+5+11+3+1/12
X = 61/12
X = 5.0833
Now the standard deviation
SD = √[{x(1)-X)^2+(x(2)-X)^2…………….(x(12)-X)^2}/N]
After solving using that formula;
SD = 3.476
b) 95% confidence in interval for the population mean days absent for sickness.
Lower Bound = X - t(α/2)*s/√n
Upper Bound = X + t(α /2)*s/√n
where
α /2 = (1 - confidence level)/2 = 0.025
X = sample mean = 5.083333333
t(α/2) = critical t for the confidence interval = 2.20098516
s = sample standard deviation = 3.476108936
n = sample size = 12
df = n - 1 = 11
Thus,
Lower bound = 2.874719086
Upper bound = 7.291947581
Thus, the confidence interval is (2.87, 7.29).
To find the confidence interval link is here
brainly.com/question/22965427
#SPJ4
The right question is:
How healthy are the employees at direct marketing industry? A random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period). Use these data to create a 95% confidence interval for the population mean days absent for sickness.
2 5 3 7 10 0 6 8 5 11 3 1
a) Find the sample mean and the standard deviation (round to two decimal places)
b) 95% confidence in interval for the population mean days absent for sickness.
(a) if 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 127 who do so differs from the expected value by at least as much as what was actually observed? (round your answer to four decimal places.)
The probability that the number in a sample of 127 who do so differs from the expected value is 0.6198.
How to calculate probability?
The critical value, according to the data, is 84. the following will be the mean:
= np = 127 × 2/3 = 84.6
The standard deviation is also 5.3748. The corresponding z score will be:
= (84 - 86.67)/5.3748
= -0.50.
Therefore, the left tailed area will be:
P(z < -0.50) = 0.3099
Since, it's two tailed, we'll multiply by 2. This will be:
= 2 × 0.3099
= 0.6198
In conclusion, the probability is 0.6198.
To learn more about probability click here:
brainly.com/question/29538993
#SPJ4
It is given that p : q : r = 0.8 : 4 : 0.2.Calculate the percentage of r of the total of p,q and r.
A.1%
B.4%
C.20%
D.25%
Answer:
B) 4%
Step-by-step explanation:
The total is
.8 + 4 + .2 = 5
[tex]\frac{r}{t}[/tex] = [tex]\frac{.2}{5}[/tex] = 0.04 = 4% To change a decimal to a percent multiply by 100%
A number is between 10 and 15. It has prime factors of 2 and 3. What is the number?
The number in between 10 and 15 and having prime factors of 2 and 3 is 12.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
The integer between 10 and 15 are,
11,12,13,14
The prime factors of 2 and 3 will be given as,
[tex]2^{a} \times 3^{b}[/tex] where a and b can be positive.
Since, 12 = 2² × 3¹
Thus, 12 is the only number that is the prime factor of 2 and 3 both.
Hence "The number between 10 and 15 and having prime factors of 2 and 3 is 12".
For more about the number system,
https://brainly.com/question/22046046
#SPJ1
Hi!, may I ask how this is meant to be solved? Studying for finals!
The slopes of the lines are 2/3, 5, 5/6 and 1 respectively
How to find the slope of a line?
The slope of a line is a measure of its steepness or incline. It is defined as the ratio of the vertical change (called the "rise") to the horizontal change (called the "run") between two points on the line.
The slope of a line can be expressed using the following formula:
Slope = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are two points on the line.
1. P₁(0,2) and P₂(3,4):
Slope = (4-2)/(3-0) = 2/3
2. P₁(1,2) and P₂(3, 7):
Slope = (7-2)/(3-2) = 5/1 = 5
3. P₁(-1,1) and P₂(5,6):
Slope = (6-1) / (5-(-1)) = 5/6
4. P₁(-1,-2) and P₂(10,11)
Slope = (11-(-1)) / (10-(-2)) = 12/12 = 1
Learn more about slope of a line on:
https://brainly.com/question/29044610
#SPJ1
A ladder is leaning against a vertical wall makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. Find the length of ladder (Round to the nearest whole number).
If you choose the 20 degree acute angle, the distance between the foot of the ladder and the wall represents the [Select] leg. Since we are given the [Select] leg and solving for the hypotenuse, we need to use [Select] to solve for the length of the ladder. The length of the ladder when solved is [Select] meters.
Options for blank #1: adjacent, opposite, hypotenuse
Options for blank #2: adjacent, opposite, hypotenuse
Options for blank #3: sine, cosine, tangent
Options for blank #4: 3, 1, 9, 4
The length of the ladder is approximately 3 m. The correct option is the first option 3
Calculating the length of a ladderFrom the question, we are to calculate the length of the ladder.
From the given information,
The ladder makes an angle 20° with the ground
and
The foot of the ladder is 3 m from the wall
This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.
Let the length of the ladder be x
Thus,
Using SOH CAH TOA
We can write that
cos 20° = 3 / x
x = 3/(cos 20°)
x = 3.19
x ≈ 3 m
Hence, the length is approximately 3 m
Learn more on Calculating the length of a ladder here: https://brainly.com/question/8667187
#SPJ1
a large stake was stocked with trout ten years ago. the change in the trout population each year is modeled by the function P(x)=8,500(0.88)x which statement describes 0.88 in the function
The value of 0.88 in the exponential function p(x) = 8500(0.88)ˣ is the rate of growth
Exponential FunctionAn exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form
f(x) = aˣ
In the exponential function given;
p(x) = 8500(0.88)ˣ
Where;
Initial amount = 8500rate of growth = 0.88x = timeLearn more on exponential function here;
https://brainly.com/question/2456547
#SPJ1
HELP MEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
t ≈ 7.7
Step-by-step explanation:
r ^nt
A = P ( 1 + ------- )
n
A = 3000
P = 1500
n = 12
r = 0.09
t = ?
0.09
3000 = 1500 ( 1 + ------- ) ^(12)(t)
12
0.09
3000 = 1500 ( 1 + ------- ) ^(12)(t)
÷1500 ÷1500 12
0.09
2 = ( 1 + ------- ) ^(12)(t)
12
Change into logs and divide
log 2
---------------------- = 12t
0.09
log (1 + ----------)
12
multiply both sides by (1/12)
log 2
(1/12) ---------------------- = 12t (1/12)
0.09
log (1 + ----------)
12
7.7304805 = t
7.7 ≈ t
I hope this helps!
Please Help me on this question
Answer:
the answer is B
Step-by-step explanation:
Jack borrowed $600
from his dad and
paid him back $475.
How much does he
still owe his dad?
Answer:
$125
Step-by-step explanation:
600 - 475 = 125
Answer:
600-475
275
Step-by-step explanation:
The amount borrowed is subtracted from the amount paid back gives the remaining debt.
Therefore the amount to be paid back is 275
2x2+89+765-78
i'm lesbian what you gonna say? thats what i thought
have a nice day
Answer: 780
Step-by-step explanation:
Two times 2 is 4
4 + 89 = 93
93 +765 = 858
858 - 78 = 780
Find the slope of the line that contains the following points: (-7, 8) and (12, 8)
The slope of the line that contains the points: (-7, 8) and (12, 8) is 0
How to calculate the slope of the line?From the question, the points are given as
(-7, 8) and (12, 8)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (-7, 8) and (12, 8)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-7, 8) and (12, 8)
Substitute the known values in the above equation
So, we have the following equation
Slope = (8 - 8)/(12 + 7)
Evaluate
Slope = 0
Hence, the slope of the line is 0
Read more about slope at
brainly.com/question/3493733
#SPJ1
evaluate √24−x when x = 6. write the answer in simplified radical form.
Given √24−x when x = 6 in simple radical form is 3*√2.
What is radical form?Simply put, simplifying a radical eliminates the need to find any further square roots, cube roots, fourth roots, etc.
Additionally, it entails eliminating any radicals from a fraction's denominator.
The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414.
So, we have:
√24−x when x = 6
Thus we must now calculate the square root of 18.
The square root, if you're allowed to use a calculator, is 4.242.
If not, however, let's come as close as we can:
√(9 * 2)
Since 3 is the square root of 9:
3*√2
Therefore, given √24−x when x = 6 in simple radical form is 3*√2.
Know more about radical form here:
https://brainly.com/question/28519153
#SPJ4
what assumption is checked when looking at a qqplot in a one-way anova model? select one: a. independence assumption b. identically distributed assumption c. normality assumption d. equal variances among the groups
Therefore, option (c)normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.
What is Q–Q plot ?In statistics, a Q–Q plot is a probability plot, a graphical method for comparing two probability distributions by plotting their quantiles against each other. A point on the plot corresponds to one of the quantiles of the second distribution plotted against the same quantile of the first distribution
Here,
normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.
Explanation: The core tenet of the assumption of normality states that the sample mean distribution (across independent variables) is normal. Technically speaking, the Assumption of Normality asserts that the mean's sampling distribution or the distribution of means among samples is normal.
To know more about Q–Q plot , visit
https://brainly.com/question/14004140
#SPJ4
Jack's mother
gave him 50 chocolates to
party. He gave 3 chocolates to each
give to his friends at his
birthday
of his friends and still had 2 chocolates
left. Write an equation to determine the number of friends
(f) at Jack's party.
question 2 a university surveys its student-athletes about their experience in college sports. the survey only includes student-athletes with scholarships. what type of bias is this an example of? 1 point
A university surveys its student-athletes about their experience in college sports. The survey only includes student-athletes with scholarships. This is an example of sampling bias.
In the field of statistics, sampling bias is a type of bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others. It results in a biased sample of the population where all individuals, or instances, were not equally likely to have been selected. If this is not corrected, results can be erroneously attributed to the phenomenon under study rather than to the method of sampling. Here as the sample of the survey only includes the student athletes with scholarship, it becomes biased.
Therefore, sampling bias is the type of bias when a university surveys its student-athletes about their experience in college sports. the survey only includes student-athletes with scholarships.
To learn more about sampling refer here
https://brainly.com/question/16587013
#SPJ4
In ΔWXY, \overline{WY} WY is extended through point Y to point Z, \text{m}\angle YWX = (3x+17)^{\circ}m∠YWX=(3x+17) ∘ , \text{m}\angle XYZ = (10x-5)^{\circ}m∠XYZ=(10x−5) ∘ , and \text{m}\angle WXY = (3x+2)^{\circ}m∠WXY=(3x+2) ∘ . Find \text{m}\angle WXY.m∠WXY
The value of ∠WXY = 20.
What is Exterior angle theorem?
The exterior angle theorem describes the connection between the two remote angles in a triangle and the external angle created by an extended side outside the triangle.
Given: Measure of angle YWX = (3x + 17) °
Measure of angle WXY = (3x + 2) °
Measure of angle XYZ = (10x − 5) °
Therefore, m∠XYZ = m∠YWX + m∠WXY (exterior angle theorem)
⇒ (10x − 5) ° = (3x + 17) ° + (3x + 2) °
Solve for x,
⇒ 10x - 5 = 3x + 17 + 3x + 2
⇒ 10x - 6x = 17 + 7
⇒ 4x = 24
⇒ x = 6
∴ ∠WXY = (3x + 2) = 18 + 2 = 20
Hence, value of ∠WXY = 20.
To learn more about exterior angle theorem from the given link:
https://brainly.com/question/11356657
#SPJ1
chapter 4 review worksheet You want to get the new Iphone. You have two options when purchasing the phone. You can pay a one-time charge of 200$ and then an additional $15 per month . The second option is not paying any money at this time and having a monthly bill of 40$ a month Set up a system of equations to represent this situation. Remeber to define a variable. Find the time in months when both of these plans would pay off the same amout of money for the new phone
The months when both of these plans would pay off the same amout of money for the new phone is 8 months.
How many months will both of these plans would pay off the same amount?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario
Let the number of months be x
You can pay a one-time charge of 200$ and then an additional $15 per month. This will be 200 + 15x. The second option is not paying any money at this time and having a monthly bill of 40$ a month. This will be 40x.
The equation will be
200 + 15x = 40x
Collect like terms
40x - 15x = 200
25x = 200
Divide
x = 200/25
x = 8
The number of months is 8.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
David rowed a boat upstream for three miles and then returned to point he started from. The entire journey took four hours. The speed of the stream is one mile per hour. Find David's speed in still water.
David's speed in still water 2 mile per hour , using downstream and upstream concept in river .
What is downstream and upstream in river?
Downstream : Towards the river where flow ends
In this river speed get added in rowing boat speed.
Upstream : Opposite to the flow of river
In this river speed gets subtracted from rowing boat speed.
In given que , one time boat is rowed by David in upstream and got back to original place i.e. case of downstream.
Speed of river = 1mile per hour
Let speed of David = x mile per hour.
Total time taken = 4 hour
As we know time = total distance / speed
Total distance covered by David = 3+3 = 6 miles
In upstream speed = x-1
In downstream speed = x+1
So, time = 3/(x-1 )+ 3/(x+1)
4/3 = 1/x-1 + 1/x+1
Solving this we get,
2x^2 - 3x - 2 = 0
Solution for this eq will be
x = 2, -1/2
But speed can't be negative.
So, x= 2mile per hour.
Learn more about downstream and upstream using link :
https://brainly.com/question/12096470
#SPJ1
An athlete runs 200 metres race in 24 seconds. what is his speed in km/h
Answer:(29.85km/h)
Step-by-step explanation:
1000m=1km
200m=x [x=(200m/1000m)x1km]
x=0.2km
3600second= 1 hour
24 seconds =b [b=(24s/3600s)x1 hour ]
b=0.0067(in 2 decimal place)
velocity in km/h will be
0.2km/0,0067secs
=29.85(in 2 decimal place)
Answer:
speed = 30 km/h
Step-by-step explanation:
We are told that a 200 metres race is run by an athlete in 24 seconds. The question then asks us to calculate the athlete's speed in km/h.
To do this, let's first convert the given data into the required units:
• Converting from metres to kilometres:
To convert from 200 metres to kilometres, we have to divide it by 1000:
200 m = 200 m ÷ 1000 m/km
= 0.2 km
• Converting from seconds to hours:
To convert 24 seconds to hours, we have to divide it by 3600:
24 s = 24 s ÷ 3600 s/h
= [tex]\frac{24}{3600}[/tex] h
Now that we have the data in the appropriate units, we can use the following formula to calculate speed:
[tex]\boxed{\mathrm{speed = \frac{distance}{time}}}[/tex]
⇒ speed = [tex]\mathrm{\frac{0.2 \ km}{24/3600 \ h}}[/tex]
⇒ speed = 30 km/h
Therefore, the speed of the athlete is 30 km/h.
What is the equation of a line perpendicular to y= 2z - 6 that passes through (5, 4)
Use the formula y = m x + b
Answer:
Step-by-step explanation:
balls
the national health and nutrition examination survey contains data on 2,263 u.s. adults. one of the variables is total cholesterol. total cholesterol levels less than 200 milligrams per deciliter (mg/dl) are considered desirable for adults. a reading between 200 and 239 mg/dl is considered borderline high and a reading of 240 mg/dl and above is considered high. does the data in this sample indicate that these individuals have average total cholesterol levels that are desirable?
Yes, the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.
Average:
In math average refers mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
Here we have the data of the national health and nutrition examination survey contains data on 2,263 US. adults. one of the variables is total cholesterol. total cholesterol levels less than 200 milligrams per deciliter (mg/dl) are considered desirable for adults. a reading between 200 and 239 mg/dl is considered borderline high and a reading of 240 mg/dl and above is considered high.
And we need to find that does the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.
While we looking into the given question,
Total number pf participants = 2,263
Desirable level of cholesterol = less than 200 milligram
Border line level of cholesterol = Between 200 and 239 mg
Higher level of cholesterol = 240 mg
So, based on the given details, we know that at least 25% of people must have the desirable.
Therefore, the given level is a desirable one.
To know more about Average here.
https://brainly.com/question/16612044
#SPJ4
If a+ß+0 =πº, prove that: sin(a+ß-0) + sin(B+0-a) + sin(0+a-B) = 4sina.sinß.sin0
Answer: A+B+C=π⇒A+B=π−C
Step-by-step explanation: I think not sure hope this helps :)
