It is the policy of stores owned by the Talkara Co. to give out bonuses to salespeople every six months. The size of the bonus is determined by averaging (taking the mean of) the two highest and the lowest monthly sales totals from the six-month period, taking 8% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period.If there are six salespeople, how much money will each one receive, to the nearest dollar? a. $243 b. $309 c. $324 d. $355
Answers
Answer:
c. $324
Step-by-step explanation:
The solution is,
A) 83/400= 0,2075
B) 100/400=0,25
C) 42/400= 0,105
D) 42/100= 0,42
E) The special training program was effective.
What is division?Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Explanation:
Total population= 400 salespeople
Received a bonus last year= 83 salespeople
Attended a special sales training program= 100 salespeople
Both attended sales training and received a bonus= 42 salespeople
a) You need to calculate the number of salespeople that receive a bonus over total population
83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075
b) You need to calculate the number of salespeople that attended a special program over total population
100/400= 0,25 The proportion of salespeople that attended a special program is 0,35
c) 42/400= 0,105 The proportion of salespeople that receive a bonus and attended a special program is 0,105
d) You need to calculate the proportion of people that having attended received a bonus.
42/100= 0,42 The proportion of salespeople that receive a bonus having attended a special program is 0,42
e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.
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Complete question:
A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.
Related Questions
How many times do 5 go into 32
Answers
Answer:
6 times or 6.4
6 times
Explanation
32/5 = 6.4
There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?
with solution please :D
Answers
Answer:
30 are present 10 are absent
Step-by-step explanation:
75%=3/4
so 3/4 of them are absent
3/4(40)=30
and 40-30=10 are absent
Company A makes 20 notebooks in 4 hours. Company B make 28 notebooks in
3 hours. Write a statement comparing the number of notebooks made per
hour.
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What expression is equivalent to 8t-18-20t+14
Answers
Answer:2(4t-9-10t+7) is answer and for the next it 2(-6t-2)
In 2004 5,545 woman were participating in college lacrosse and in 2008 6,830 woman joined was is the rate of change
Answers
Answer:
321.25 per year
Step-by-step explanation:
In 2004 they had 5,545
In 2008 they had 6,830
Subtract them both and you get 4 years, 1285 people
Divide 1285 by 4 and get 321.25 per year.
Help me with writing a check please
Answers
Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature. 5. fifty-four and 68/100 dollars 6. One hundred seventeen and 92/100 dollars 7. twenty dollars
Step-by-step explanation:
Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?
Answers
Answer:
3-4 days
Step-by-step explanation:
So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!
Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.
Answers
Number be x
#1
[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]
#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]
#5
[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]
#6
[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]
#7
[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]
Can you simplify these two?
5 points for each.
Answers
Answer:
See attached files.
The answers are there.
A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.
Answers
The approximate population in 2016 is 91, 604 population
Let the time taken by the population to increase be "t"Let the number of the population be PThe exponential equation representing the statement is [tex]P=P_0e^t[/tex]
If in 2010 the population was 56,000, then at t = 0, P0 = 56000Substituting into the formula will give:
P = 56000If by 2012 the population had increased to 81,000, then:
81000 = 56000e^12k
81000/56000 = e^12k
1.4464 = e^12k
ln1.4464 = 12k
0.3691 = 12k
k = 0.3690/12
k = 0.03076
Get the prediction of the population in 2016.
[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]
Hence the approximate population in 2016 is 91, 604 population
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Solve each inequality 5 + 5(x + 4) = 20
Answers
Answer:
5 x + 25 ≤ 20
Step-by-step explanation:
Simplify 5 + 5 ( x + 4 ) .
5 + 5 x + 20 ≤ 20
Add 5 and 20 .
12 POINT HURRY PLEASE
Answers
Answer:
• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.
Step-by-step explanation:
[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]
If x approaches -∞;
[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]
If x approaches +∞;
[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]
Note: I'm taking my infinite value to be 1,000
What is the domain of the absolute value function below?
(will give brainless)!!!!
Answers
Answer:
D <----last option Domain is set of real numbers or (-∞,+∞)
Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other?
Answers
I can’t help because I can’t see the coordinate plane.
Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?
Answers
Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.
Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.To find their least common factor, we factor each number by prime numbers, hence:
6 - 8 - 10 - 15|2
3 - 4 - 5 - 15|2
3 - 2 - 5 - 15|2
3 - 1 - 5 - 15|3
1 - 1 - 5 - 5|5
1 - 1 - 1 - 1
Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.
It will take 120 days until all four buses return to the terminal on the same day.
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I need help with this answer PLEASE I’m stuck
Answers
Answer:
40% of airline A's flights were on time
Step-by-step explanation:
0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.
Answer:
B
Step-by-step explanation:
happy holidays
First the first 4 term for 4n-5
Answers
Answer:
-1, 3, 7, 11
Step-by-step explanation:
First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.
Hopefully that's helpful! :)
Step-by-step explanation:
Term 1: - 1
Term 2: 3
Term 3: 7
Term 4: 11
The rule is, where you see n, substitute with the position/term requested
First 4 terms are: - 1,3,7, 11
A movie theater charges $9.75 per ticket. Monday through Thursday they make on average $2720.25 daily. How many
customers do they have on an average Tuesday?
a. 279 customers
c. 70 customers
b. 272 customers
D. 26552 customers
Answers
Answer:
Your anwser would be A mark brainliest please and thank you
Step-by-step explanation:
What of the following exponential functions is represented by the data in the table?
A) f(x)=(1/3)^3
B) f(x)=3^x
C) f(x)=x^3
D) f(x)=x1/3
Answers
Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
Answer:
f(x)=(1/3)^x
Step-by-step explanation:
Plug in the given values of x in the function above and match the answers with f(x) which is y.
Pls look at photos I’ll give 30 points
Answers
A bath tub drained at a constant rate. The table shows the number of gallons of water left in the tub after being drained for two amounts of time
Answers
The rate at which the water was drained from the tank is 6 gallons of water per minute (option A)
To know the speed at which the tank was drained, we must carry out the following operations:
Taking into account the information provided by the table we establish how much water has been drained from the tank in 20 minutes.
450 gallons - 330 gallons = 120 gallons.
Subsequently, we must divide the amount of water (120 gallons) that was drained by the time it was drained (20 minutes).
120 gallons ÷ 20 minutes = 6 gallons / minute.
According to the above, we can establish that the bath drain rate is 6 gallons / minute (option A).
Note: This question is incomplete because there is some missing information. Here is the complete information:
What is the rate at which the water was drained from the tank?
6 gallons of water per minute. 11 gallons of water per minute. 45 gallons of water per minute. 120 gallons of water per minute.
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Un
número formado por 22 centenas,
515 unidades 1765 décimas, ¿cuantas
milésimas tiene?
Answers
Hay cero milésimas en los parámetros dados.
El valor posicional se refiere al valor representado por un dígito en un número sobre la base de su posición en el número.
De los parámetros dados:
22 centenas ⇒ 2200515 unidades ⇒ 5151765 décimas ⇒ 176.5Si sumamos los valores juntos, podremos determinar la cantidad de milésimas que tenemos:
= 2200+515+176.5
= 2891.5
Por tanto, podemos concluir que hay cero milésimas en los parámetros.
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A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?
Find the number of meters a speed skater and a cheetah travel in 1 second.
A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.
Answers
Cheetah 260/10 = 26 m/ sec= The cheetah is more than twice as fast as the skater
So number 1 is 12.5
Number 2 is 26
Help help help help help math
Answers
Step-by-step explanation:
don't panic. just breathe and think logically.
why would these angles be different ? how could they be different ?
right : they cannot be different. otherwise the 2 horizontal lines would not be parallel.
so, yes, indeed, these 2 angles are identical.
3x + 2 = 2x + 6
x = 4
that's it.
Rewrite in simplest terms: (-9x + 7y) - (-9x + 5y)
Answers
Answer:
3y
Step-by-step explanation:
(-9x+7y)-(-9x+5y)
Distribute the negative(-)
-9x+7y+9x-5y
-9 and 9 cancel each other
3y
The simplest terms of the given expression (-9x + 7y) - (-9x + 5y) will be 2y.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(-9x + 7y) - (-9x + 5y)
Open the bracket
-9x + 7y + 9x - 5y
Combined likely terms together
-9x + 9x + 7y - 5y
0 + 2y = 2y
Hence "The formula (-9x + 7y) - (-9x + 5y) will have 2y as its simplest terms".
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Planet Q Is 3.6 x 10^6km
Planet R Is 1.6 x 10^7km
What Is The Shortest Distance Between Planet Q And R (Answer In Standard Form)
I've Been Stuck On This Question For A Vast Amount Of Time.
Answers
Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
Nadia is a stockbroker. She earns 12% of commission each week. Last week, she sold 4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Answer:
540 last week
52X540.=$28,080 a year
Step-by-step explanation:
Find m
∠
J
L
K
∠JLK.
Answers
Answer:
m∠JLK° = 62°
Step-by-step explanation:
∠JLK = ∠KJL
SO
56°+2(∠JLK)° = 180°
2(∠JLK)° = 180-56
2(∠JLK)° = 124
∠JLK° = 62°
so m∠JLK° = 62°
Answer:
m∠JLK = 62°
Step-by-step explanation:
180 - 56 = 124
124 ÷ 2 = 62
Elements that do not belong to a set belong to its
Answers
Answer:
What do you mean for this question?
Step-by-step explanation:
Give specific details
How many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answers
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation: