a salesman earns 40% commission on all the merchandise that he sells. Last month he sold $600 worth of merchandise. How much in commission (in dollars) did he earn last month?
Answers
Answer:
should be 240 in commission, 840 in total.
EXPLANATION:
if he gets 40% commision,
this means he gets 40% of how much he sells.
So, 40% of what he sold, (600) is 240.
HAVE A GOOD DAY
Related Questions
three cards are drwan at random, without replacement, from a standard deck of 52 playing cards. compute the (conditional) probability that the first card drawn is spade, given that the second and third cards have spades.
Answers
If the second and third cards have a spade then the probability that the first card drawn is a spade is 21.2%.
Probability can be described as a field of mathematics that determines how likely a thing is to happen. When there is uncertainty about the outcome of an event we consider the probabilities of certain results or outcomes.
There are a total of 13 spades in a deck of 52 playing cards. So if the second and third cards have spades then there are 11 spades remaining.
The formula for probability can be given as;
probability = number of favorable outcomes or events ÷ total number of outcomes or events
probability = 11 / 52 = 0.212
Converting it into percentage;
probability = 0.212 × 100 = 21.2%
Therefore, the probability that the first card drawn is a spade is calculated to be 21.2%.
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Which of the following is equivalent to 8
Answers
the third choice is correct
2x2x2=8
find the compound interest on £90,000 for 3 years at the rate of 10% per annum compounded anually
Answers
Step-by-step explanation:
Final account amount will be ( using compound interest formula)
90 000 (1 + .10)^3 = 119 790 <=== ( 1-% is .10 in decimal)
subtract original amount to find interest = £ 29 790.
Answer: £29,791.00
Step-by-step explanation:
Use the Equation \(A = P(1+r/n)^(nt)\)
P represents principal which is the starting amount.
R represents rate which is the percent increase represented in decimal form.
N represents the number of times compounded per year.
T represents the total time.
The question is asking us to solve for A which is the total amount and we just have to plug in all the other variables given to us and solve and subtract from the original.
A = 90,000(1 + 0.1/1)^(1*3)
A = 90,000(1.1)^3
A = 119,791.00
We have the amount, and now we have to subtract it from the original.
119,791-90,000 = 29791
Which object shown below could we slice perpendicular to its base/face to create a trapezoid cross-section
Answers
Answer:
B
Step-by-step explanation:
Part A: Find a rational number that is between 5.2 and 5.5, Explain why it is rational. (2 points)
Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the
nearest hundredth.
Answers
9514 1404 393
Answer:
A. 5.3
B. √29 ≈ 5.39
Step-by-step explanation:
A.A terminating decimal is a rational number. A terminating decimal between 5.2 and 5.5 is 5.3.
__
B.The squares of 5.2 and 5.5 are 27.04 and 30.25, respectively. Any value between these numbers that is not a perfect square will have an irrational square root. For example, √29 ≈ 5.39 is irrational.
Answer:
Step-by-step explanation:
Part A
5.3
This is rational because it can be represented as 53/10
5 3/10
5 * 10 + 3 / 10
(50 + 3) / 10
53/10 which is a rational fraction.
Part B
You want something irrational between 5.2 and 5.5. You can take the square root of something like sqrt(29.16) which is 5.4 squared.
To make it irrational just add a small amount to 29.16 which would be .02 tp get 29.18
Square root 29.18 = 5.401851534
This is irrational because you cannot represent the number as a fraction. You can test the notion by asking what the next digit after 34 at the end is. You have no better that a 1 in 10 chance of getting it right. Did you guess 4? If you did, that was just luck. Here is a more complete square root, but still not rational.
5.4018515344278020984773871207007
If you are using windows on your computer, this number comes from the calculator that is included with windows. What comes after 007? I don't have a way of telling you. The result is irrational.
How many weeks are there a month?
Answers
Answer:
4 weeks
Step-by-step explanation:
Answer:
About 4 weeks
Step-by-step explanation:
what is 1/3 plus 4.1 in simplest form written as a mixed number
Answers
Hope it helps
a c-chart is used for multiple choice means. ranges. percent defective. fraction defective per unit. number of defects per unit.
Answers
A C - chart is used for Number of defects per unit.
What is C - chart?
In statistical quality control, the c-chart is a sort of control chart used to track "count"-type data, often the total number of nonconformities per unit. On rare occasions, it is also used to keep track of all the events that take place in a given period of time.
C-charts are used to assess if a process is predictable and stable as well as to track the results of process improvements before and after they have been made. The C - chart is particularly useful when there are few actual flaws in the subgroup but many potential for defects exist.
Count type data, such as the number of non-conformities per unit, are monitored using a statistical quality control chart known as a C-Chart.
Hence, a C - chart is used for Number of defects per unit.
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5. John caught 24 trout and bass while on a fishing
trip. The total weight of his catch was 126 pounds.
The average weight of trout was 2 pounds and the
average weight of bass was 8 pounds. How many
trout and how many bass did he catch?
Answers
Answer:
T=10 B=14
Step-by-step explanation:
t + b = 24
2.5t + 8b = 137
b = 24 - t
2.5t + 8(24 - t) = 137
2.5t +192 - 8t =137
5.5t = 55
t = 10
b = 24 - 10 = 14
b= 14
hope this helps :))
Let g(x) = 6x² - 1.
(a) Find the average rate of change from 3 to 5.
(b) Find an equation of the secant line containing (-3, g(-3)) and (5, g(5)).
(a) The average rate of change from - 3 to 5 is
(Simplify your answer.)
Answers
a) The equation y = 12 · x + 89 represents the secant line.
b) The average rate of change of the function g(x) = 6 · x² - 1 is equal to 12.
How to determine the equation of the secant lineIn this problem find the definition of a polynomic function, of which we must determine the equation of the secant line, that is, a line that passes through two points of the curve. The secant line is described by a polynomial of the form:
y = m · x + b
Where:
m - Slopeb - InterceptAnd the slope of the secant line is found by the following expression:
m = [f(b) - f(a)] / (b - a)
Where:
a - Lower limitb - Upper limitFirst, determine the slope of the secant line:
f(- 3) = 6 · (- 3)² - 1
f(- 3) = 6 · 9 - 1
f(- 3) = 53
f(5) = 6 · 5² - 1
f(5) = 6 · 25 - 1
f(5) = 149
m = (149 - 53) / [5 - (- 3)]
m = 12
The average rate of change is 12.
Second, determine the intercept of the function:
b = y - m · x
b = 53 - 12 · (- 3)
b = 53 + 36
b = 89
Third, write the equation of the secant line:
y = 12 · x + 89
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Answer this in coordinates (read pic)
Answers
Answer:
w(5,-13)
x(5,-9.5)
y(-3,-6)
z(-3,-13)
Step-by-step explanation:
Helping in the name of Jesus.
Answer:
Coordinates of image: W' (-1, 5), X' (-1, 1.5), Y' (7, -2), and Z' (7, 5)
Explaining how I found the coordinates: To reflect WXYZ across the y-axis, I used the rule (x, -y), which means I changed the sign of each y-coordinate and kept the same x-coordinate. Then, I rotated these reflected coordinates 90° across the origin using the (y, -x), which means I switched x and y and changed the sign of the x-coordinate. Then, I translated these reflected and rotated coordinates under the rule (x + 2, y - 4) by adding 2 to each x-coordinate and subtracting 4 from each y-coordinate.
Step-by-step Explanation:
In order to prevent confusion, I'll put a 1 beside the reflected points, 1-2 when the point is reflected and rotated, and 1-2-3 when the (x + 2, y - 4) rule is applied. Then, the coordinates for the final image will have a ' beside them
Example:
W-1 = Coordinates of W point reflected across the y-axis
W-1-2 = Coordinates of W point reflected across the y-axis and rotated 90° about the origin
W-1-2-3 = Coordinates of W point reflected across the y-axis, rotated 90° about the origin, and the (x + 2, y - 4) translation rule is applied
Step 1: Reflect WXYZ across the y-axis:
The rule for reflecting a point across the y-axis is (-x, y). Thus, we change the sign of the x-coordinate and keep the same y-coordinate.Original: W (-9, 3); Reflect across y-axis: W-1 (9, 3)
Original: X (-5.5, 3); Reflect across y-axis: X-1 (5.5, 3)
Original: Y (-2, -5); Reflect across y-axis: Y-1 (2, -5)
Original: Z (-9, -5); Reflect across y-axis: Z-1 (9, -5)
Step 2: Rotate W1-X1-Y1-Z1 clockwise 90° about the origin:
The rule for rotating a point 90° about the origin is (y, -x)Thus, we switch the x and y coordinates and change the sign of the x-coordinate (now in the place of the y-coordinate)Reflected: W-1 (9, 3); Rotated: W-1-2 (-3, 9)
Reflected: X-1 (5.5, 3); Rotated: X-1-2 (-3, 5.5)
Reflected: Y-1 (2, -5); Rotated: Y-1-2 (5, 2)
Reflected: Z-1 (9, -5); Rotated: Z-1-2 (5, 9)
Step 2: Apply (x + 2, y - 4) translation rule to W12-X12-Y12-Z12
The (x + 2, y - 4) translation rule means that we add 2 to every x-coordinate and subtract 4 from every y-coordinate.Reflected & Rotated: W-1-2 (-3, 9); Translated: W-1-2-3 (-1, 5)
Reflected & Rotated: X-1-2 (-3, 5.5); Translated: X-1-2-3 (-1, 1.5)
Reflected & Rotated: Y-1-2 (5, 2); Translated: Y-1-2-3 (7, -2)
Reflected & Rotated: Z-1-2 (5, 9); Translated: Z-1-2-3 (7, 5)
Thus, the coordinates of trapezoid W'X'Y'Z' are:
W' (-1, 5), X' (-1, 1.5), Y' (7, -2), and Z' (7, 5)
You can use the following paragraph to explain how you got the coordinates:
To reflect WXYZ across the y-axis, I used the rule (x, -y), which means I changed the sign of each y-coordinate and kept the same x-coordinate. Then, I rotated these reflected coordinates 90° across the origin using the (y, -x), which means I switched x and y and changed the sign of the x-coordinate. Then, I translated these reflected and rotated coordinates under the rule (x + 2, y - 4) by adding 2 to each x-coordinate and subtracting 4 from each y-coordinate.
Which expression is equivalent to 4–6 x 4-2?
Answers
When we multiply the same base we add their power
\(a^m\times a^n=a^{m+n}\)This is the rule that we will use it
\(4^{-6}\times4^{-2}=4^{-6+(-2)}=4^{-8}\)You can change the negative power to positive power by reciprocal the number
\(4^{-8}=\frac{1}{4^8}\)The answer is the 4th choice
Pl pls helppp pls pls pls
Answers
Answer:
25 is one third of 75 and 30 is 2/5 of 75 is 30 so 5 more people voted for the cat in the hat
Step-by-step explanation:
b) If the joint probability distribution of three discrete random variables X, Y, and Z is given by, f(x, y, z)=. (x+y)z 63 for x = 1,2; y=1,2,3; z = 1,2 find P(X=2, Y + Z ≤3).
Answers
The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.
To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.
Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:
X=2, Y=1, Z=1
X=2, Y=1, Z=2
X=2, Y=2, Z=1
Step 2: Calculate the joint probability for each combination:
For X=2, Y=1, Z=1:
f(2, 1, 1) = (2+1) * 1 = 3
For X=2, Y=1, Z=2:
f(2, 1, 2) = (2+1) * 2 = 6
For X=2, Y=2, Z=1:
f(2, 2, 1) = (2+2) * 1 = 4
Step 3: Sum up the joint probabilities:
P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13
They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.
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What is the GCF of 81 and 72?
Answers
Answer:
9
Step-by-step explanation:
81= 1,3,9,27,81
72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,72
9 is the most common so GCF will be 9.
Answer:
See below.
Step-by-step explanation:
81 - 1,3,9,27,81
72 - 1,2,3,4,6,8,9,12,18,24,36,72
The GCF is 9.
-hope it helps
solve the given initial value problem y'' 36y=0; y(0)=5, y'(0)=1
Answers
The solution for the given initial value problem is y(x) = (31/12) * e^(6x) + (29/12) * e^(-6x).
Explanation:-
To solve the given initial value problem y'' - 36y = 0 with the conditions y(0) = 5 and y'(0) = 1, we can use the characteristic equation method.
First, we write the characteristic equation for the given differential equation:
r^2 - 36 = 0
Solving for r, we get:
r = ± 6
Since we have two distinct real roots, the general solution for the differential equation is:
y(x) = c1 * e^(6x) + c2 * e^(-6x)
Now, we can use the initial conditions to find the values of c1 and c2.
For y(0) = 5, we get:
5 = c1 + c2........(1)
For y'(0) = 1, we get:
1 = 6c1 - 6c2...........(2)
Solving this system of equations, we get:
c1 = 31/12 and c2 = 29/12
So, the particular solution for the given initial value problem is:
y(x) = (31/12) * e^(6x) + (29/12) * e^(-6x)
Therefore, the solution for the given initial value problem is y(x) = (31/12) * e^(6x) + (29/12) * e^(-6x).
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find an equation of the line whose intercepts are twice those of the graph of 5y+2x=10
Answers
Answer:
\(2x+5y=20\)
Step-by-step explanation:
Rearranging the equation of the given line into intercept form,
\(5y+2x=10 \\ \\ \frac{x}{5}+\frac{y}{2}=1\)
This means the intercepts are \((5,0)\) and \((0,2)\).
We need to find the equation of the line with intercepts \((0,4)\) and \((10,0)\). This equation is \(\frac{x}{10}+\frac{y}{4}=1\), which rearranges to give \(2x+5y=20\).
theresa bought a new desktop computer. one side of the desktop screen is 14 inches and the other side is 18 inches. what is the length of the diagonal of the desktop screen? answer choices are rounded to the nearest inch.
Answers
Rounded to the nearest inch, the length of the diagonal of the desktop screen is approximately 23 inches.
To find the length of the diagonal of the desktop screen, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Given:
One side of the desktop screen = 14 inches
The other side of the desktop screen = 18 inches
Let's denote the length of the diagonal as d.
Using the Pythagorean theorem, we have:
d² = 14² + 18²
d² = 196 + 324
d² = 520
Taking the square root of both sides to solve for d:
d ≈ √520
d ≈ 22.803
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6/9 = a/12 please 6/9 = a/12 please
Answers
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown. What is the surface area of the figure? Express the answer in terms of π.
Answers
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
A
Step-by-step explanation:
There are 36 students playing tag at recess. This is 6 times as many as are playing hopschotch. Which model shows this comparison
Answers
Answer:
216
Step-by-step explanation:
The students: (36)
The people who play hopscotch: (6 times more than the students)
To find the answer to the hopscotch activity you multiply the 36 (the students) by 6 (hopscotch) and you get 216.
Sketch the line 4x+3y=11
Answers
sketch of the line 4x + 3y = 11, slope (-4/3), y-intercept of the line y = 11/3
Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:
3y = -4x + 11
y = (-4/3)x + 11/3
Step 2: Identify the slope and y-intercept:
From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.
Step 3: Plot the y-intercept:
On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.
Step 4: Use the slope to find additional points:
Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.
Step 5: Connect the points:
Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.
The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.
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-2(x -3) what number should be distributed
Answers
Answer:
-2
Step-by-step explanation:
-2 needs to be distributed to the rest of the equation so that gives you -2x+6
-2 is on the outside of the parentheses, meaning it should be distributed to everything inside the parentheses
so, -2(x-3) is actually (-2x) + (-2 *-3)
convert 9 min into seconds
Answers
Answer:
540 sec
Step-by-step explanation:
Step 1: Find conversion
1 minute = 60 seconds
Step 2: Use Dimensional Analysis
9 min · (60 sec/1 min)
540 sec
Elena and han are discussing how to write the repeating decimal x=0.137 as a fraction.
Answers
To write the repeating decimal 0.137 as a fraction, we can use a simple method. Let's assign a variable to the repeating decimal, such as x:
x = 0.137
Now, we can multiply both sides of the equation by a power of 10 to shift the decimal point:
1000x = 137.137
Next, we subtract the original equation from this new equation to eliminate the repeating part:
1000x - x = 137.137 - 0.137
Simplifying:
999x = 137
Now, we solve for x by dividing both sides of the equation by 999:
x = 137 / 999
This fraction can be simplified further by finding the greatest common divisor (GCD) of 137 and 999, which is 1. Therefore, the final fraction representation of the repeating decimal 0.137 is:
x = 137 / 999
Note: It's important to mention that the division process assumes that the decimal is a repeating decimal with a single repeating block. If the repeating part consists of multiple repeating blocks, the process would differ slightly.
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How do you find the surface area of a regular figure
Answers
Answer:
touch it
Step-by-step explanation:
Answer: The area of a regular polygon is one-half the product of its apothem and its perimeter
Step-by-step explanation:
Can someone please hwlp me answer these, thank you so much if u did. And please don’t say “the pic isn’t clear” cuz ik ur only trying to get points, thank you bye
Answers
Answer:
1) 31.41593
2) 26.38938
Step-by-step explanation:
Circumference = 2πr
2 · π · 5 ≈ 31.41593
2 · π · 4.2 ≈ 26.38938
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VI. Given: angle 1 and angle 2 are supplementary
Prove: angle 3 and angle 4 are supplementary
1, Given
2. Def. of supplementary angles
3. Vertical angles are congruent
4. Def. of congruent angles
5. Substitution
6. Def. of
Answers
Answer:
2. def. of supplementary angles
Step-by-step explanation:
A father is 40 years older than his daughter. 3 years ago he was 5 times older from his daughters age. What are their current ages?
Answers
Answer:
daughter is 13 and father is 53
Step-by-step explanation:
father-> x+40
daughter->x
x+40-3=5(x-3)
x+37=5x-15
52=4x
x=13
x+40=13+40=53
the daughter is 13 and the father is 53 years old.
Selena rewrote the expression 36 + 54 as two factors using the greatest common factor and the distributive property. What expression did Selena create?
Answers
Answer:
18 ( 2+3)
Step-by-step explanation:
36 + 54
We can factor out 18 from both terms
18*2 + 18*3
18 ( 2+3)