Answers
The coordinates of B'(6, 3) and C'(4, 4).
We have,
The point A (6, 8) is translated to A' (2, 5).
So, here the points are translated as
(x₁ - x₂ , y₁ - y₂)
= (6 -2, 8-5)
= (4, 3)
So, the coordinates of B'
= (8 -2, 8-5)
= (6, 3)
and, the coordinate of C'
= (6-2, 9-5)
= (4, 4)
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Related Questions
Use the calculator to find the product.
(1.466 × 10–8)(5.02 × 105)
What is the coefficient of the product?
What is the exponent of the power in the product?
Answers
Answer:
7.3593 and -3 is the correct answerStep-by-step explanation:
Using the given calculator, the product of (1.466 × 10–8) and (5.02 × 105) was found to be 7.3593 × 10–3. The coefficient of the product is 7.3593, which is obtained by multiplying the coefficients of the two given numbers. The exponent of the power in the product is –3, which is obtained by adding the exponent of the first number to the exponent of the second number and then subtracting it from the power of 10. Therefore, the final answer is 7.3593 × 10–3.
Answer:
7.3593 and -3Step-by-step explanation:
How to us caculator to find product?Using a calculator to find the product of two or more numbers is a simple process. First, enter the first number into the calculator using the number keys. Then, press the multiplication symbol (usually represented by the "x" key) followed by the second number. If there are more numbers to multiply together, repeat the process until all numbers have been entered. Finally, press the equals sign (often represented by the "=" key) to display the product of all the numbers. Remember to check the order of operations if necessary, and to double-check your input and output to avoid errors.
How to Multiply 2 numbers?To multiply two numbers in scientific notation, we first multiply their coefficients (1.466 x 5.02 = 7.358). Then, we add their exponents together (-8 + 5 = -3). Therefore, (1.466 x 10⁻⁸) multiplied by (5.02 x 10⁵) equals 7.358 x 10⁻³ or 0.007358. The final answer has the exponent of -3, indicating that the answer should be moved 3 decimal places to the left to convert it from scientific notation to standard notation.
HURRY DUE TONIGHT
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 21%
B. 3%
Answers
The percentage of saline solution in brand B is 3%. Then the correct option is B.
Let x be the percent of saline solution in brand B.
Since Danielle combined brands A and B to create a total of 18 gallons of 8% saline solution, we know that the total volume of saline solution in the combination is 18% of 6 gallons + x% of (18 - 6) gallons.
Thus, we can set up the equation:
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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The measure of one interior angle of a regular icosagon, or 20-sided figure, is (12x - 6)°.
Part A: What is the sum, in degrees, of the interior angles of a regular icosagon?
O 1800
O 3204
O 3240
O 3600
Part B: Which equation could be used to find the value of x?
O 162 = 12x6
O 180 = 12x - 6
O 3240 = 18(12x-6)
O 3600 = 20(12x - 6)
Answers
The sum of interior angles in the polygon is 3240 degrees.
The equation used to find x is 180 = 12x - 6.
We have,
The sum of the interior angles of a polygon with n sides can be calculated using the formula (n-2) x 180 degrees.
So, for a regular icosagon with 20 sides, the sum of interior angles.
= (20-2) x 180
= 3240 degrees.
Therefore, the answer is option C, 3240.
Part B:
The sum of the interior angles of a regular polygon can also be calculated using the formula:
Sum of interior angles = n(180 - exterior angle)/2,
where n is the number of sides.
For a regular icosagon, the exterior angle can be found by subtracting the interior angle from 180 degrees.
= 180 - (12x - 6)
= 186 - 12x.
Substituting the values in the formula, we get:
3240 = 20(180 - (12x - 6))/2
Simplifying this equation, we get:
3240 = 1800 - 60x + 30
Combining like terms, we get:
1410 = -60x
Dividing both sides by -60, we get:
x = -23.5
Therefore,
The sum of interior angles is 3240 degrees.
The equation used to find x is 180 = 12x - 6.
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The sum of two numbers is 5 the product of the same two numbers is 20
Answers
The two numbers are 4 and 1.
What are the two numbers?To solve the problem, we will use algebraic equations.
We will call 2 numbers x and y. So, we know that:
------ x + y = 5 (equation 1)
------ xy = 20 (equation 2)
We will solve for y in terms of x:
y = 5 - x
We will substitute for y into equation 2 and simplify:
x(5 - x) = 20
5x - x^2 = 20
x^2 - 5x + 20 = 0
As a quadratic equation which will be solved using the quadratic formula, the solutions are x = 4 and x = 1. We can check that these solutions satisfy both equation 1 and equation 2.
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Terrence has a balance of $4000 on his credit cards with a 20% APR. he has decided that he will not make any other purchases on his card until he pays off the debt. he can pay $300 per month. after five months how much will he have paid in interest so far in how large will the remaining balance be?
Answers
The interest is $293.88 in interest
The remaining balance is approximately $2793.88.
How to solve for the interestMonthly Interest Rate = 0.2 / 12
Monthly Interest Rate ≈ 0.01667 (rounded)
Month 1:
Interest: $4000 * 0.01667 ≈ $66.68 (rounded)
New Balance: $4000 + $66.68 = $4066.68
Payment: $300
Remaining Balance: $4066.68 - $300 = $3766.68
Month 2:
Interest: $3766.68 * 0.01667 ≈ $62.82 (rounded)
New Balance: $3766.68 + $62.82 = $3829.50
Payment: $300
Remaining Balance: $3829.50 - $300 = $3529.50
Month 3:
Interest: $3529.50 * 0.01667 ≈ $58.86 (rounded)
New Balance: $3529.50 + $58.86 = $3588.36
Payment: $300
Remaining Balance: $3588.36 - $300 = $3288.36
Month 4:
Interest: $3288.36 * 0.01667 ≈ $54.80 (rounded)
New Balance: $3288.36 + $54.80 = $3343.16
Payment: $300
Remaining Balance: $3343.16 - $300 = $3043.16
Interest: $3043.16 * 0.01667 ≈ $50.72 (rounded)
New Balance: $3043.16 + $50.72 = $3093.88
Payment: $300
Remaining Balance: $3093.88 - $300 = $2793.88
Total = $66.68 + $62.82 + $58.86 + $54.80 + $50.72
≈ $293.88 in interest
The remaining balance is approximately $2793.88.
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A normally-distributed population has a mean μ = 32 and a standard deviation σ = 7. For a set of samples of size 8 taken from this population, about 99.7% of the means will be in what interval?
Answers
The standard error of the mean δ for a sample of size n is calculated as:
δ = σ / √(n)
where σ is the population standard deviation and n is the sample size.
For a sample of size 8 taken from a normally-distributed population with a mean of 32 and a standard deviation of 7, the δ is:
δ = 7 / √(8) ≈ 2.475
The 99.7% confidence interval for the sample mean is given by:
x ± 3 Substituting the values, we get:
32 ± 3(2.475)
where x is the sample mean.
Substituting the values, we get:
32 ± 3(2.475)
which simplifies to:
[24.575, 39.425]
Therefore, about 99.7% of the sample means taken from this population will fall within the interval [24.575, 39.425].
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Explain whether the research topic is best investigated through an experiment or an observational study. Then describe the design of the experiment or observational study.
1. A cycling team wants to know whether incorporating yoga into a workout routine improves racing times.
2. A researcher wants to compare the effects of a new experimental cancer drug with a cancer drug that has been used for at least 10 years.
Answers
2. An experiment would also be the best method to compare the effects of a new experimental cancer drug with a cancer drug that has been used for at least 10 years. The researcher can randomly assign some patients to a group that receives the new drug and some patients to a group that receives the old drug. Then, they can compare the effectiveness of the two drugs in treating cancer.
In both cases, the experiment should be designed as a randomized controlled trial (RCT) to ensure that the results are unbiased. The participants should be randomly assigned to the groups to avoid any selection bias. The groups should be as similar as possible in terms of age, gender, and other relevant characteristics. The researchers should also use blinding procedures to ensure that the participants and the researchers are unaware of which group is receiving which treatment. This will help to reduce the risk of bias and increase the validity of the results.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each logarithmic equation to its corresponding x-value.
Answers
The logarithm equations and corresponding x-value are
[tex]log_{2}x=5[/tex] has x=32
[tex]log_{10}x=3[/tex] then x=1000
[tex]log_{4}x=2[/tex] then x=16
[tex]log_{3}x=1[/tex] then x=1
We know that [tex]log_{a}x=b[/tex]
Then [tex]x=a^b[/tex]
(1) [tex]log_{2}x=5[/tex]
x=2⁵
=32
So [tex]log_{2}x=5[/tex] has x=32
(2) [tex]log_{10}x=3[/tex]
Then by using the above property of logarithmic function we have:
x=10³
x=1000
So [tex]log_{10}x=3[/tex] then x=1000
(3) [tex]log_{4}x=2[/tex]
x=4²
x=16
so [tex]log_{4}x=2[/tex] then x=16
(4) [tex]log_{3}x=1[/tex]
x=1³
=1
So [tex]log_{3}x=1[/tex] then value x=1
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A manufacturing machine has a 2% defect rate.
If 7 items are chosen at random, what is the probability that at least one will have a defect?
Answers
Answer:7.02
Step-by-step explanation: cause im right
cos 0 = 5. Find tan 0.
A) 12/15
B) 9/15
C) 12/9
D) 15/12
Answers
Answer:
C
Step-by-step explanation:
given
cosΘ = [tex]\frac{9}{15}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]
then to find the third side (opposite) use Pythagoras' identity
opposite² + 9² = 15²
opposite² + 81 = 225 ( subtract 81 from both sides )
opposite² = 144 ( take square root of both sides )
opposite = [tex]\sqrt{144}[/tex] = 12
then
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{9}[/tex]
State the formula.
cos(x − y) =
Answers
Answer:
Step-by-step explanation:
сosx*cosy+sinx*siny
what is the coefficient of 4-3x-2
Answers
Answer:
Step-by-step explanation:
The given expression is 4-3x-2.
To find the coefficient, we need to identify the numerical factor that is multiplied by the variable x. In this case, the numerical factor that is multiplied by x is -3.
Therefore, the coefficient of 4-3x-2 is -3.
What is the surface area of a sphere with a radius of 4.75 units?
Answers
Hope it helps! Round if you need to!
A pendulum on a grandfather clock is swinging back and forth and it keeps time. A device measures the height of the pendulum above the floor as it swings back and forth. At the beginning of the measurements, the pendulum is at its highest point, 36 cm above the floor. After 4 seconds, it is at its lowest point, 12 cm above the floor. At 8 seconds, the pendulum is back at its greatest height from the floor. Assume that the graph of the distance above the floor varies sinusoidally as time. A table of values is given below.
b. Write an equation of the form H(t)=A cos (Bt) +D for your graph above.
c. What is the distance (to the nearest tenth) from the floor when t=6.5 seconds?
Answers
The distance from the floor when t = 6.5 seconds is about 13.7 cm.
We are given that;
H(t)=A cos (Bt) +D
Now,
b. To write an equation of the form H(t) = A cos (Bt) + D for the graph, we need to find the values of A, B, and D.
A is the amplitude of the cosine function, which is half the difference between the maximum and minimum values of H(t). In this case, the maximum value is 36 and the minimum value is 12, so:
A = (36 - 12) / 2 A = 12
D is the vertical shift of the cosine function, which is the average of the maximum and minimum values of H(t). In this case:
D = (36 + 12) / 2 D = 24
B is related to the period of the cosine function, which is the time it takes for one complete cycle. In this case, the period is 8 seconds, because H(t) repeats its values every 8 seconds. The formula for B is:
B = 2π / period
So:
B = 2π / 8 B = π / 4
Therefore, the equation is:
H(t) = 12 cos (π/4 t) + 24
c. To find the distance from the floor when t = 6.5 seconds, we need to plug in t = 6.5 into the equation and evaluate H(t). Using a calculator, we get:
H(6.5) = 12 cos (π/4 × 6.5) + 24 H(6.5) ≈ 13.7
Therefore, by the equation answer will be 13.7 cm.
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Country Day's scholarship fund receives a gift of $ 190000. The money is invested in stocks, bonds, and CDs. CDs pay 3 % interest, bonds pay 3.8 % interest, and stocks pay 12 % interest. Country day invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 11250 , how much was invested in each vehicle?
Answers
To conclude, $2,755,000 was invested at 12% interest, $1,275,000 was invested at 3.8% interest and $1,290,000 was invested at 3% interest.
Elimination Method for System of Equations:The elimination method is a useful process in solving a system of equations especially when the terms in the equations contain coefficients. By elimination method, the equations may be reduced to an equation containing only one of the unknowns and may be used to solve for the first value. The remaining unknowns are derived using the original equations and the first value.
Let x be the amount invested in stocks at 12% interest, y be the amount invested at bonds at 3.8% interest and z be the amount invested in CD at
3% interest.
The total investment amounts to $190000
x + y + z = $190000__eq.(1)
The total interest from the three investments is $11250
0.12x + 0.038y + 0.03z = 11250 ___eq.(2)
Country Days invests $15000 more in bonds than in CDs.
y = z + $15000
y - z = $15000 ____eq.(3)
Use elimination method for the first and second equation to eliminate x.
x + y + z = $190000 [ Multiply both sides by 0.12 ]
-[0.12x + 0.038y + 0.03z = 11250]
------------------------------------------------
0.12x + 0.12y + 0.12z = $ 22,800
-[0.12x + 0.038y + 0.03z = 11250]
--------------------------------------------------
0.082y + 0.09z = $11,550
Perform another elimination method for the derived equation above and Equation 3 to eliminate z.
0.082y + 0.09z = $11,550
-[y - z = $15000] [ Multiply both sides by 0.09 ]
---------------------------------
0.082y + 0.09z = $11,550
-[0.09y - 0.09z= $1350]
----------------------------------
- 0.008y = $10,200
y = - $1,275,000
Substitute the value of y to Equation 2.
y - z = $15000 [ Substitute y in Equation 3 ]
-1275000 - z = 15000
-z = 15000 + 1275000
z = -$1,290,000
Substitute the value of y and z to Equation 1.
x + y + z = $190000
x - $1,275,000 - $1,290,000 = $190000
x = $190000 + $2565000
x = $2,755,000
To conclude, $2,755,000 was invested at 12% interest, $1,275,000 was invested at 3.8% interest and $1,290,000 was invested at 3% interest.
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It would save me some time if you help
Answers
The rule that describes the transformation is (x, y) → (y, -x)
We are given that;
The points (-2,5),(2,5),(2,1).
Now,
To rotate a point 90° clockwise with the origin as the center of rotation, we can use the following rule:
(x, y) → (y, -x)
This means that the x-coordinate of the original point becomes the y-coordinate of the new point, and the y-coordinate of the original point becomes the opposite of the x-coordinate of the new point.
For example, applying this rule to the point (-2, 5), we get:
(-2, 5) → (5, 2)
Therefore, by the transformation the answer will be(x, y) → (y, -x)
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●
• What pattern can you use to describe how the
numerator and denominator change in the fraction
models above?
Answers
we can say that the pattern for how the numerator and denominator change in the fractions model is that they are multiplied or divided by the same non-zero integer.
How is this so ?Let's consider the fraction 2/ 3.
If we multiply both the numerator & the denominator by 2, we get 4 /6.
Also multiplying both by 3, we will get 6 /9
In general, if we multiply the numerator and the denominator by the same non-zero integer, we get an equivalent fraction.
On the other hand, if we divide both the numerator and the denominator by the same non-zero integer,
we also get an equivalent fraction. For example if we divide 6/9 by 3, we get 2/3 again.
Hence , the above conclusion is correct.
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Full Question:
Fraction 2/ 3.
What pattern can you use to describe how the numerator and denominator change in the fraction models above?
Lin is using technology to create a segmented bar graph from a spreadsheet and is following the steps listed. What is the missing step?
Step 1. Copy your relative frequency table into the spreadsheet.
Step 2: ?
Step 3: Highlight the data of the relative frequency table.
Step 4: Insert the proper type of graph using the “Insert” tab.
Step 5: Check the elements of the graph to ensure the appearance is correct.
ANSWER CHOICES
A.convert your data into percentages.
B. Total the columns.
C. Add a title to the graph.
D. Label each row and column.
Answers
Note the the missing step is: " Total the columns." (Option B) so the completed step with regard to the segmented bar graph is given below.
What is a segmented bar graph?A segmented bar chart uses vertical or horizontal bars to compare two or more categories. Typically, the stacked bars represent each group's percentage of the whole and are plotted by the proportion of each value inside each group.
This style of chart can be beneficial for comparing total amounts across each split bar or group. It may be an effective method of forecasting a company's profit over a period of months, with the earnings separated into distinct product lines.
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The Scotts bought a townhome. They made a down payment of and took out a mortgage for the rest. Over the course of years they made monthly payments of on their mortgage until it was paid off.
(a) What was the total amount they ended up paying for the townhome (including the down payment and monthly payments)?
(b) How much interest did they pay on the mortgage?
Answers
a) The total amount that the Scotts ended up paying for the townhome (including the down payment and the monthly payments) is $445,144.80.
b) The total interest paid on the mortgage is $213,144.80.
What is the down payment?The down payment is the advance payment made on a mortgage or loan to satisfy the lending concerning the borrower's financial capacity.
The down payment reduces the mortgage liability, including interest.
The cost of the townhome = $232,000
The down payment for the town home made by the Scotts = $48,000
The mortgage = $184,000 ($232,000 - $48,000)
Monthly payment = $1,103.18
The mortgage period = 360 months (30 years x 12)
The total payment on the mortgage over the mortgage period = $397,144.80 (1,103.18 x 360)
The total payment, including the down payment = $445,144.80 ($397,144.80 + $48,000)
The total interest paid = $213,144.80 ($445,144.80 - $232,000)
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Question Completion:The Scotts bought a townhome for $232,000. They made a down payment of $48,000 and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of $1,103.18 on their mortgage until it was paid off.
9. a) 'Prime numbers less than 10' is a given collection. (i) Is this collection a set? Give reason. (ii) Name the method of describing this collection. (iii) Rewrite this collection in listing method. Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 11 Vedanta Excel
Answers
Yes, this collection is a set because it has a well-defined and finite number of elements, namely {2, 3, 5, 7}.
What are the responses to other questions?(ii) The method of describing this collection is the roster method or tabular method, where the elements of the set are listed within curly braces and separated by commas.
(iii) {2, 3, 5, 7}
In mathematics, a set is a collection of conspicuous objects or elements, taken as an object in its own right. These elements can either be numbers, letters, symbols, or even other sets. A set is defined by listing its elements or by specifying a property that its elements satisfy.
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The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?
D'(1, 3)
B'(-3, -4)
A'(1, -5)
C'(-1, -2)
Answers
The coordinates of a vertex of the image of D are (3, 1)
Which are coordinates of a vertex of the image?From the question, we have the following parameters that can be used in our computation:
The coordinates of point D is
D = (1, 3)
The transformation rule is given as
y = x
Mathematically, this is represented as
(x, y) = (y, x)
Substitute the known values in the above equation, so, we have the following representation
D' = (3, 1)
Hence, the image of point D is D' = (3, 1)
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When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
Answers
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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Slope! answer the questions below please i need help! and i need a good grade!!!
Answers
The equation of a line for the given graph is y=2x+5.
From the given graph, the coordinate points are (0, 5) and (1, 7)
Part A:
Slope = (7-5)/(1-0)
= 2
Part B:
The slope mean for the relationship between the number of races and the number of track meets 2 races per track
Part C:
Substitute m=2 and (x, y)=(0, 5) in y=mx+c, we get
5=2(0)+c
c=5
Part D:
Substitute m=2 and c=5 in y=mx+c, we get
y=2x+5
Therefore, the equation of a line for the given graph is y=2x+5.
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CNNBC recently reported that the mean annual cost of auto insurance is 1022 dollars. Assume the standard deviation is 272 dollars, and the cost is normally distributed. You take a simple random sample of 39 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X bar? X bar - N(
b. What is the distribution of x bar? x bar - N(
c. What is the probability that one randomly selected auto insurance is more than $990?
d. a simple random sample of 39 auto insurance policies, find the probability that the average cost is more than $990.
Answers
a. The distribution of X bar is x bar - N(1022, 43.45²).
b. The distribution of x bar is x bar - N(1022, 43.45²).
c. The probability that one randomly selected auto insurance is more than $990 is 0.1131.
d. a simple random sample of 39 auto insurance policies, the probability that the average cost is more than $990 is 0.887
a. The dispersion of X bar is ordinary with a cruel of 1022 dollars and a standard deviation of 272/√(39) dollars. In this way, X bar - N(1022, 43.45²).
b. The conveyance of x bar is additionally ordinary with the same cruel and standard deviation, so x bar - N(1022, 43.45²).
c. To discover the likelihood that one arbitrarily chosen auto protection is more than $990, able to utilize the z-score equation:
z = (990 - 1022) / 272/√(39) = -1.21. Looking up the comparing region beneath the standard typical dissemination bend, we discover a likelihood of 0.1131.
d. To discover the likelihood that the normally taken toll of a simple random test of 39 auto protections approaches is more than $990, we got to discover the z-score for this test cruel:
z = (990 - 1022) / 272/√(39) = -1.21. Employing a standard typical dispersion table, we discover that the likelihood of a z-score less than -1.21 is 0.1131. Hence, the likelihood of a test cruel more prominent than $990 is 1 - 0.1131 = 0.8869, or 0.887 (adjusted to 3 decimal places).
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Work out the area of the triangle.
The diagram is not drawn to scale.
Answers
The area was approximately 430.365 square meters.
To start, let's recall the formula for finding the area of a triangle. The formula is:
Area of a triangle = (base x height) / 2
To do that, we can use Heron's formula. Heron's formula states that the area of a triangle can be found using its sides, a, b, and c, where s is the semi-perimeter of the triangle (half of the perimeter):
Area of a triangle = √(s(s-a)(s-b)(s-c))
where
s = (a+b+c)/2
Now, let's apply Heron's formula to our problem.
We know that the sides of the triangle are 75.6m, 56.7m, and 52.5m. We can add them together and divide by 2 to get the semi-perimeter:
s = (75.6 + 56.7 + 52.5) / 2
s = 92.4
Next, we can substitute the values of a, b, and c into the formula:
Area of a triangle = √(92.4(92.4-75.6)(92.4-56.7)(92.4-52.5))
Area of a triangle = √(92.4(16.8)(35.7)(39.9))
Area of a triangle = √(185623.66256)
Area of a triangle ≈ 430.365m²
= 99 degrees.
So the area of the triangle with sides measuring 75.6m, 56.7m, and 52.5m, and a height of 42m, is approximately 430.365 square meters.
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If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answers
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
What is the distance from (−18, −5) to (−18, 24)? −29 units −19 units 19 units 29 units
Answers
The distance from (-18, -5) and (-18, 24) is 29 units which is calculated with the formula of shortest distance between two coordinates.
Hence option d is the correct option.
The coordinates are given as, say P is (-18, -5) and Q is (-18, 24).
The distance between P and Q can be calculated with the formula of shortest distance between two coordinates as,
Shortest distance between P and Q, PQ = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 }[/tex] units
⇒ PQ = [tex]\sqrt{((-18) - (-18))^2 + ((24) - (-5))^2 }[/tex] units
⇒ PQ = [tex]\sqrt{(-18 +18)^2 + (24 +5)^2 }[/tex] units
⇒ PQ = [tex]\sqrt{(0)^2 + (29)^2 }[/tex] units
⇒ PQ = [tex]\sqrt{29^2}[/tex] units
⇒ PQ = 29 units
Hence option d 29 units is the correct option.
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c) The NY Knicks won 35 games out of 65 games. What is the probability that they win the next game?
d) Find the experimental probability of a player on the New York Liberty being over 73 inches.
Answers
Answer:
c
Step-by-step explanation:
That's all because it makes more sense and uses a explanation
35% of students in school are not going to picnic, if there are total 850 students in the school. Find the number of students who are going to picnic.
Answers
Answer:
552 students are going to the picnic
help me right answers only quick. here is screenshot
Answers
Answer:
Option 2 is correct. The function is increasing on the set of all positive real numbers.
