A salesperson at a car dealership earns a monthly salary of $2500 and $325 for each vehicle sold. How many vehicles does the salesperson need to sell in a month to earn at least $5000?
Answers
Answer:
8 cars
Step-by-step:
if you subtract 2500 from 5000 you get 2500
then divide 2500 by 325 to get the amount of cars
What we have
Every month the salesperson makes $2500
$325 for ever vehicle sold
We need to find out how he can make $5000 in a month
Solving
Knowing the first piece of information we automatically start off from $2500 and because we know each car is 325 we just need to add it onto it several times
2500+325+325+325+325+325+325+325+325 = 5100
Meaning above we will have an extra $100 no matter what we do
Counting the amount of "325's" I added we come to the total of 8
Answer
Meaning in order to earn $5000 in a month this sales person needs to sell 8 vehicles.
Related Questions
7. The rectangle below is dilated by a scale factor of
3.6
to create a new rectangle. Which of the following
could be the dimensions of the new rectangle?
Answers
The new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a rectangle shown in the picture.
The width of the rectangle = 1 1/2 = 3/2 = 1.5 cm
The length of the rectangle = 4 cm
The rectangle is dilated by a scale factor of 3.6:
The new width of the rectangle = 1.5×3.6 = 5.4 cm
The new length of the rectangle = 4×3.6 = 14.4 cm
The dimension of the new rectangle = 14.4 cm ×5.4 cm
Thus, the new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
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Evaluate the function when X equals 3 h (x) = -2x -6
Answers
Answer:
– 12
Step-by-step explanation:
From the question given above,
h(x) = –2x – 6
x = 3
Substituting the value of x (i.e 3)into the above expression i.e h(x) = –2x – 6, we obtained:
h(x) = –2x – 6
h(3) = –2(3) – 6
h(3) = –6 – 6
h(3) = – 12
Construct the bisector of the following figures
Answers
A line bisector is a straight line that would divide a given line segment into two equal parts. The bisection of line segments CD, XY and AB are attached to this answer.
Bisection implies dividing a given line segment or angle into two equal parts or measure of angles. Thus we have a line bisector, and an angle bisector.
To construct a line bisector to the given line segments:
1) Measure a radius of the compass greater than the midpoint of line CD.
• Using point C, describe an arc above the line, then below the line.
• With the same radius and point D as the center, describe an arc above the line and below the line to intersect previous arcs.
• Join the points of intersection of the arcs with a straight line. Thus this is the line bisector.
2) Using a compass, measure a radius greater than the middle of line xy.
• Using point x, describe an arc above the line, then below the line.
• With the same radius and point y as the center, describe an arc above the line and below the line to intersect previous arcs.
• Join the points of intersection of the arcs with a straight line. Thus this is the line bisector.
3) Using a compass, measure a radius greater than the middle of line AB.
• Using point A, describe an arc above the line, then below the line.
• Using the same radius and point B as the center, describe an arc above the line and below the line to intersect previous arcs.
• Join the points of intersection of the arcs with a straight line. Thus this is the line bisector.
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if the set of values represent points on a line, what is the value of a?
Answers
Answer:
a = 7
Step-by-step explanation:
Equation of line : y = mx + b
m = slope
Plug in coordinates:
Slope = Change in y/Change in X
Slope = 13-4/5-2 = 9/3 = 3
Plug in coordinates:
y - intercept = b
13 = 5(3) + b
13 = 15 + b
b = -2
Equation: y = 3x - 2
Input 3 for x
y = 3x - 2
y = 9 - 2
y = 7
-Chetan K
I need help with 4 and 12 through 18
Answers
12.a^5-5a^2+4a^3-20
which piece wise function is graphed below
Answers
Answer:
Option A
Step-by-step explanation:
Here is how to approach the problem:
We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.
At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.
Now we have two choices left.
For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.
Vertext form is f(x) = a(x-h)^2 + k.
h being the x-coordinate of the vertex and k being the y-coordinate.
We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.
c=(y-5)h solve for y.
Answers
y=c+5h/ h
Match the test or approach to the dataset. Pearson Correlation (1) A. Two continuous variables; one varible should predict the other. Regression Spearman's rank correlation B. One continuous variable, measured for four groups. Data do not appear normal. C.Two continuous variables; no suspected mechanism; data are bivariate normal. D. Two continuous variables; no suspected mechanism; data do not follow a bivariate normal distribution. E. One continuous variable, measured for four groups. Data appear normal. ANOVA Kruskal-Wallis
Answers
The correct matching of the tests or approaches to the datasets is as follows: Pearson Correlation: C. Two continuous variables; no suspected mechanism; data are bivariate normal.
Spearman's rank correlation: D. Two continuous variables; no suspected mechanism; data do not follow a bivariate normal distribution.
Regression: A. Two continuous variables; one variable should predict the other.
ANOVA: E. One continuous variable, measured for four groups. Data appear normal.
Kruskal-Wallis: B. One continuous variable, measured for four groups. Data do not appear normal.
Explanation:
Pearson Correlation is used when we have two continuous variables and we want to assess the linear relationship between them.
Spearman's rank correlation is used when the data do not follow a bivariate normal distribution and we want to assess the monotonic relationship between two continuous variables.
Regression is used when we have one continuous variable that we want to predict based on another continuous variable.
ANOVA (Analysis of Variance) is used when we have one continuous variable measured for multiple groups and we want to compare the means across these groups.
Kruskal-Wallis is a non-parametric alternative to ANOVA and is used when the data do not appear to follow a normal distribution.
It's important to choose the appropriate test or approach based on the characteristics of the dataset and the research question at hand.
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connor can ride a bike 8.5 mph. How far can he bike in 3 hours
Answers
Answer:
Distance in 1 hr=8.5m
Therefore,
Distance in three hour=8.5×3
=25.5m
What is 78 to the square root closer to
Answers
Answer:
The square root of 78 is: 8.8317608663278468547640427269593.
This number is closer to the number 9.
Step-by-step explanation:
Use calculator to find square root. Then round it up.
Hope this helps!
If not, I am sorry.
Convert the following hexadecimal number to an octal number. (You need to type only your final answer. Do not round your answer.) 1F2D.3B7
16
=
Answers
The hexadecimal number 1F2D.3B7 can be converted to an octal number by grouping the hexadecimal digits and converting them to their equivalent octal representation. The octal representation of 1F2D.3B7 is X3474.63.
To convert the hexadecimal number 1F2D.3B7 to octal, we can break it down into two parts: the whole number part and the fractional part.
First, let's convert the whole number part, 1F2D, to octal. Each hexadecimal digit can be represented by four binary digits, and each octal digit can be represented by three binary digits. So we can convert the hexadecimal digits to binary and then group them into sets of three binary digits.
1F2D in binary is 0001 1111 0010 1101. Grouping them into sets of three binary digits, we get 001 111 100 010 110 110 1.
Converting each group of three binary digits to octal, we get 1742631.
Next, let's convert the fractional part, 3B7, to octal. We can do this by converting each hexadecimal digit to its binary representation and then grouping them into sets of three binary digits.
3B7 in binary is 0011 1011 0111. Grouping them into sets of three binary digits, we get 011 110 110 111.
Converting each group of three binary digits to octal, we get 3467.
Therefore, the octal representation of the hexadecimal number 1F2D.3B7 is X3474.63.
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determine whether the series converges, and if so find its sum. ∑k=1[infinity]4k 37k−1
Answers
This limit evaluates to 37/4, which is greater than 1. Therefore, the ratio test tells us that the series diverges.
To determine whether the series ∑k=1[infinity]4k 37k−1 converges, we can use the ratio test. The ratio test states that if the limit as k approaches infinity of the absolute value of the ratio of the (k+1)th term to the kth term is less than 1, then the series converges absolutely.So, let's apply the ratio test to our series:
lim(k→∞) |(4(k+1))/(37(k+1)-1) * (37k-1)/4k|
Simplifying this expression, we get:
lim(k→∞) |37/4 * (k+1)/(k+1/37)| This limit evaluates to 37/4, which is greater than 1. Therefore, the ratio test tells us that the series diverges. Since the series diverges, it doesn't have a sum in the traditional sense. However, we can say that the partial sums of the series get larger and larger without bound.
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work out the reciprical of 3.5
Answers
Answer:
\(\frac{2}{7}\)
Step-by-step explanation:
3.5 = \(\frac{7}{2}\)
swap the numerator and denominator (flip the fraction):
reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)
Arrange 25, 10, -25, 17, -4 in ascending order
Answers
Answer:
-25, -4, 10, 17, 25
Step-by-step explanation:
Negitives are smaller than positives and the bigger the number behind the negitive sign, the smaller the nmber itself is going to be.
ANSWER ASAP
What is y= -2/5x+3/8 as a function and a solution when x = 1/3
Answers
Answer:
y = 9/120 or y = 0.24
Step-by-step explanation:
\(y=-\frac{2}{5} x+\frac{3}{8}\\\\y=-\frac{2}{5}(\frac{1}{3})+\frac{3}{8} \\\\y=-\frac{2}{15} +\frac{3}{8} \\\\y= \frac{29}{120}\)
A chef bought 91 kilograms of almonds and 0.47 kilograms of pecans. How many
kilograms of nuts did the chef buy in all?
kilograms
Submit
Answers
8. The world's tallest
totem pole is in Alert
Bay, B.C., home of the
Nimpkish First Nation.
Twenty feet from the
base of the totem pole,
the angle of elevation
of the top of the pole
is 83.4º. How tall is
the totem pole to the
nearest foot?
Answers
Answer:
The height of the totem tree is approximately 172.8ft
Step-by-step explanation:
Hello,
To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.
See attached document for better illustration.
Let T represent the height of the pole.
Using trigonometric ratio,
SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.
Tanθ = opposite/ adjacent
Opposite = T
Adjacent = 20ft
θ = 83.4°
Tan83.4 = T / 20
T = 20Tan83.4
T = 20 × 8.64
T = 172.8ft
The height of the totem tree is approximately 172.8ft
100 POINTS (urgent) Write an equation of a line that passes through the point (2, 3) and is parallel to the line y =3/2X + 5
y = -2/3x
y= 2 x - 7
y=3/2x
y=3/2x +7
Answers
Answer:
C. 3/2x
Step-by-step explanation:
Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.
y = mx + b ---> plug in known values
3 = (3/2)(2) + b ---> Multiply
3 = 3 + b ---> Subtract 3 from both sides.
0 = b
Since the intercept is 0, you will not see a number after the slope and x.
In the octagon shown, angle k is supplementary to the given exterior anglem What is the measure of angle k?
A.) 120°
B.) 125°
C.) 135°
D.) 130°
Answers
Answer: D. 130
Step-by-step explanation:
supplementary means that the sum of the angles is 180 degrees. For this problem, this means that k + 50 = 180.
k + 50 = 180
k = 180 - 50
k = 130 degrees
Answer:
D) 130
Step-by-step explanation:
Please help me asap. I need an answer and full explanation. 1st person to complete that gets Brainliest. Question: Amelia likes to collect pokemon cards. She currently has 34 water cards and 29 fire cards. How many more fire cards does she need to collect so her ratio of the number of water cards to fire cards is 2:3?
Thanks and stay perfect.
Answers
Answer:
22 cards
Step-by-step explanation:
Set up a ratio.
\(\frac{34}{29+x} =\frac{2}{3}\)
\(58+2x=102\)
\(2x=44\)
\(x=22\)
Check: Add 22 to 39. 22+29=51
34/51 = 2/3
Have a great day
A cost that can be identified by the equation Y=a+bX is known as a:
A. variable/fixed cost.
B. mixed cost.
C. discretionary cost.
D. sunk cost.
Answers
The correct answer is B. mixed cost.
A mixed cost is a cost that consists of both a fixed component and a variable component. The equation Y = a + bX represents a mixed cost, where "Y" represents the total cost, "X" represents the level of activity or quantity, "a" represents the fixed cost component, and "b" represents the variable cost per unit.
The fixed cost component (a) remains constant regardless of the level of activity, while the variable cost component (bX) changes proportionally with the level of activity. This equation allows for the separation of the fixed and variable components of the cost, making it a useful model for analyzing cost behavior.
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What is the value of (2/5)^3
Answers
The value of the exponent (2/5)^3 is \(\frac{8}{125}\)
In the above question, it is given that
(2/5)^3
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.
We need to solve it and then find the value of the exponent
(2/5)^3
= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)
= \(\frac{2 . 2. 2}{5 . 5 . 5}\)
= \(\frac{8}{125}\)
Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)
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The equation �=112�y=1\frac{1}{2}xy=1
2
1
x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether each point would be on the graph of this proportional relationship.
Choose Yes or No for each point.
Answers
The coordinates (2,1) will be on graph but (1,3) is not on graph.
What is a coordinate?
A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.
This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.
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Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?
a)StartRoot 3 EndRoot (cosine (StartFraction pi Over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) )
b)StartRoot 3 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
c)StartRoot 3 EndRoot (cosine (StartFraction 5 pi Over 6 EndFraction) + I sine (StartFraction 5 pi Over 6 EndFraction) )
d) StartRoot 3 EndRoot (cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) )
Answers
Answer: hello your question is poorly written attached below is the complete question
answer:
\(\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))\) --- ( option d )
Step-by-step explanation:
The correct option that represents a square root of 3 as related to the question attached below is :
\(\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))\)
Answer:
D
Step-by-step explanation:
(ASAP!) Graph the image of the figure on the right under the given translation.
Answers
The translation is as shown in the figure in option B
What is translation transformation?Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.
The transformation required ahs the rule defined as
3 units to the right and 4 unit upApplying the rule arrives the image in option B
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1 2 3 4 5 6 7 8 9 10 Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long
Answers
Answer:
\(Area = 60x - x^2\)
Step-by-step explanation:
Given
\(Perimeter = 120\)
\(Side\ 1 = x\)
Required
The area of the garden
First, we calculate the length of the other side using:
\(Perimeter = 2 *(Side\ 1 + Side\ 2)\)
This gives:
\(120 = 2 *(x + Side\ 2)\)
Divide both sides by 2
\(60 = x + Side\ 2\)
Make Side 2 the subject
\(Side\ 2 = 60 - x\)
So, the area of the garden is:
\(Area = Side\ 1 * Side\ 2\)
\(Area = x * (60 - x)\)
Expand
\(Area = 60x - x^2\)
Find the value of k, if (1, -1) is a solution of the equation 3x-ky = 8. Also, find the coordinates of another point lying on its graph.
Answers
Another point lying on the graph is (6,-2)
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
Answers
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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A polygon has vertices A (5, -1), B (21, 11), C (26, -1), and D (2, -8).
Part A. What is the perimeter of ABCD to the nearest tenth of a unit?
Part B. What is the area of ABCD to the nearest tenth of a square unit?
Enter the correct answers in the boxes.
A. Perimeter: units
B. Area: square units
Answers
The graph of the coordinate points of the vertices of ABCD indicates;
Part A The perimeter of ABCD ia approximately 61.2 units
Part B. The area of ABCD is 199.5 square units
What is the perimeter of a figure in geometry?The perimeter of a figure is length of the line that goes round the figure.
A. The perimeter of the polygon is the sum of the length of the sides of the polygon, which is found as follows;
AB = √((21-11)²+(11-(-1))²) ≈ 15.6
BC = √((21-26)²+(11-(-1))²) = 13
CD = √((26-2)²+(-1-(-8))²) = 25
AD = √((2-5)²+(-8-(-1))²) ≈ 7.6
The perimeter of the polygon = 15.6 + 13 + 25 + 7.6 = 61.2
The polygon has a perimeter of approximately 61.2 unitsB. Plotting the figure indicates that the figure consists of two triangles, ΔABC and ΔACD
The base length of triangle ΔABC = 26 - 5 = 21
The height of triangle ΔABC = 11 - (-1) = 12
The area of triangle ΔABC = 0.5 × 21 × 12 = 126
Base length of triangle ΔADC = 21
Height of triangle ΔADC = -1 - (-8) = 7
Area of triangle ΔADC = 0.5 × 21 × 7 = 73.5
Area of the composite figure is therefore;
A = 126 + 73.5 = 199.5
The area of the figure is therefore; 199.5 square units
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5x+ 1/4= 61/4
I’m trying to figure out what x is
Answers
I READ IT WRONG AHH
Answer:
3
Step-by-step explanation:
5x + 1/4 = 61/4
-1/4 -1/4
5x = 15
/5 /5
x = 3
Answer:
x=3
Step-by-step explanation:
5x+1/4=61/4
5x=61/4-1/4(61/4-1/4, they have the same denominator so can subtract them with each other)
5x=60/4 (60/4=15)
5x=15
x=15/5
x=3
Tip :to check your answer simply plug in the value and then solve the equation. If both the sides are equal to each other, the answer is most likely correct.