A car salesman earns a 3% commission on sales. If he sells a car for $27,990, how much commission will he earn?
($27,990)*(0.03) = $839.70
The Jones family will pay their insurance broker a commission of $1,750.00.
Commission is an amount of money paid to an employee or company as an incentive to sell more. A straight commission is a percentage of sales.
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Can someone help me out it dosent seem hard but its just hard for me to focus
The government levies a consumption tax known as a sales tax on the purchase of goods and services.At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Calculate sales tax ?
The formula sales tax = purchase price x sales tax rate can be used to calculate the sales tax that was imposed to a purchase by simply multiplying the tax rate by the purchase price.The final price paid with tax is calculated by adding the sales tax to the initial purchase price. The Short Answer: Retail purchases are subject to sales tax.It is used to fund local and state budgetary expenses including fire departments, roads, and schools.The Detailed Response: Sales tax is a type of consumption tax that is typically levied on goods purchased by customers from shops. Only when the taxable supply is made during a "taxable activity" is it assessed and paid.The amount to be taxed is the value of the products or supply.The nature of the sales tax requires that the customer bear the majority of the tax burden.Sales tax is an indirect tax, which explains why.
equation sales tax = purchase price x sales tax rate.
Sales tax = $800*7.5%
= $60
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A 28° 0 128° B C Problem 4.1 Determine the measure of the missing angle.
Answer:
24°
Step-by-step explanation:
the interior angle of a triangle is 180°
therefore Let <ACB =x
128°+28°+x=180°
156°+x=180°
make x the subject
x=180°-156°
x=24°
How do you reflect the image over the x-axis
The coordinates of the image of any point P(x, y), from any geometric locus, after being reflected over the x-axis.
How to reflect any geometric locus over the x-axis
Geometric loci are geometrical constructions formed by one or more points, these may represent a point or a figure formed by finite or infinite set of points.
Let P(x, y) = (x, y) a point of the geometric locus, which has to be modified by using reflection over the x-axis. This can done by adding the vector (- 2 · x, 0) to the vector P(x, y):
P'(x, y) = P(x, y) + (- 2 · x, 0)
P'(x, y) = (x, y) + (- 2 · x, 0)
P'(x, y) = (- x, y)
Where P'(x, y) is the image of point P, from any geometric locus, after making the reflection over the x-axis.
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HELP PLEASE DONT IGNORE
Answer:
Y=3/4x-2
Step-by-step explanation:
Atleast I think so
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)
Mrs. Carpio purchased 30 cookies. She gives half of the cookies to her students. Then, she purchases some more, c, cookies on her way home.
The number of cookies that she has when she reaches home is given by the following algebraic expression:
n = 15 + c.
Which algebraic expression models the situation?The initial number of cookies that she has is given by:
30.
(as stated in the problem).
She gives half of that amount to her students, hence the number of cookies that she has remaining is:
0.5 x 30 = 15 cookies remaining.
(to find the half of an amount, we can either divide by 2 or multiply by 0.5).
Then, on her way home, she purchases c cookies, hence the total number of cookies that she has when she reaches home is given by the following expression:
15 + c.
(she had 15, and then c was added to that amount).
Missing informationThe problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.
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Angel and his children went into a restaurant and will buy hotdogs and drinks. Each
hotdog costs $5 and each drink costs $1.50. Angel has a total of $50 to spend on
hotdogs and drinks. Write an inequality that would represent the possible values for
the number of hotdogs purchased, h, and the number of drinks purchased, d.
Considering the definition of an inequality, an inequality that represent the possible values for the number of hotdogs purchased and the number of drinks purchased is 5h + 1.50d≤ 50.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values, in addition to certain known data.
Inequality in this caseIn this case, you know that:
Each hotdog costs $5 and each drink costs $1.50. Angel has a total of $50 to spend on hotdogs and drinks.Being:
"h" the number of hotdogs purchased."d" the number of drinks purchased.the inequality that expresses the previous relationship is
5h + 1.50d≤ 50
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N
2.
Find the area of each sector. Round your answer to the nearest tenth.
1.
sector PQR
29
R
sector JKL
8 cm 135°
K
6m
P
90°
L
Area =
Area =
1 0.7
2 1.6
m²
cm²
3 28.7
4 75.4
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =135 \end{cases}\implies A=\cfrac{(135)\pi (8)^2}{360}\implies A=24\pi \implies A\approx 75.4[/tex]
May you guys/girls please help me I have to submit this before mid night and I do not fail because my parents will get me , so may y'all please help me out!?
Answer:
y =-0.25x + (-6)
Step-by-step explanation:
crosses y axis at -6 so that's your y-intercept
to find gradient use change in y / change in x
so make a triangle -1 / 4 = -0.25
The table represents a quadratic function. Write an equation of the function in standard form.
x | 3,4,5,6
y | 10,7,10,19
I don't know how to find the vertex for this
The equation of the function in standard form is 3x + y = 25.
What is a quadratic function?
f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
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Solve the system of linear equations using the substitution method.
X = 5 and 2x + y = 10
A. (5, -5)
B. (5, 0)
C. (2, -2)
D. (2, -1)
Answer:
B
Explanation:
x = 5
2x + y = 10
Substitute x = 5 into 2x + y = 10
2(5) + y = 10
10 + y = 10
y = 0
Hence, coordinates are (5,0).
Aisha can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Aisha needs to earn at least $150 this week to pay for a trip with her
friends. Determine the number of regular and early morning hours that Aisha could work.
Answer:
Minimum 7 early morning hours
Maximum 13 regular hours
Step-by-step explanation:
x: number of regular hours
y: number of early morning hours
i) x + y = 20
ii) 7x + 8.5y = 150
ii - 7i
1.5y = 10 --> y = 10/1.5 = 20/3 = 6 2/3
x + 20/3 = 20 --> x = 40/3 = 13 1/3
She could work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.
. let s be the subspace of c[a, b] spanned by ex , xex , and x2ex . let d be the differentiation operator of s. find the matrix representing d with respect to [ex , xex , x2ex ].
D(ex) = ex = 1.ex + 0.xex + 0.x2ex
D(xex) = ex + x.ex = 1.ex + 1.xex + 0.x2ex
D(x2ex) = x2ex + 2x.ex = 0.ex + 2.xex + 1.x2ex
So the matrix is:
1 0 0
A = 1 1 0
0 2 1
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a is parallel to e and b is parallel to d, find y
Ae = 97-2
Bd = 4x+5
The value of y in the equation is 12.
What are internal angles of a triangle?
According to the alternate angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent.
BD falls on CE, thus angles dividing BD on CE will sum up to 180°.
Given ∠BDC = 4x - 5 and ∠BDE = 10y - 3
Thus, ∠BDC + ∠BDE = 180° ⇒ (4x - 5) + (10y - 3) = 180° - (i)
Therefore, rearranging (i), we get 4x + 10y = 188° -- (A)
Again, since alternate angles are equal, thus ∠BDC = ∠AEC
Thus, 4x - 5 = 97 - 2x ⇒ 6x = 102 ⇒ x = 102/6 = 17 --(ii)
From (A) and (ii), we get, 4(17) + 10y = 188 ⇒ 10y = 120 ⇒ y = 12
Therefore the value of y is 12.
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[tex]\sqrt{x} 10 greater than, less than, or equal to 3[/tex]
The square root of 10 will be greater than 3.
What is square root of a number?The square root of a number is the value which when multiplied by itself results into the number. Mathematically -
n = x²
then -
x = [tex]\sqrt{n}[/tex]
Given are two numbers as -
[tex]\sqrt{10}[/tex] and 3.
Now, the square root of 10 will be 3.16 (approx.)
On comparing the square root of 10 with 3, we can clearly see that the square root of 10 will be greater than 3. Mathematically -
[tex]\sqrt{10}[/tex] > 3.
Therefore, we can conclude that the square root of 10 will be greater than 3.
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-n/3 is greater or equal than 0.75
Please help me with this equation
Answer: n<= -2.25
Step-by-step explanation:
1) Lay the equation out
[tex]\frac{-n}{3} \geq 0.75[/tex]
2) Multiply 3 on both sides to leave n by itself.
[tex]-n \geq 0.75*3\\-n \geq 2.25\\\\[/tex]
3) Multiply -1 on both sides.
Note: Multiplying -1 will flip the sign.
[tex]n \leq 2.25*-1\\n\leq -2.25[/tex]
4) Answer
n<= -2.25
What is the shaded area???
Answer:
Area of circle is 9π cm²
Step-by-step explanation:
- If area of the area of the square is 36 cm², the length of one side of a square can be found;
[tex]{ \rm{area \: of \: square = side \times side}} \\ { \rm{36 = {x}^{2} }} \\ { \rm{x = \sqrt{36} }} \\ { \rm{x = 6 \: cm}}[/tex]
- If you make a clear observation from the figure, length of a square corresponds to the diameter of a circle;
[tex]{ \rm{radius = \frac{1}{2} \times length \: of \: square }} \\ \\ { \rm{r = \frac{1}{2} x}} \\ \\ { \rm{r = \frac{1}{2} \times 6 }} \\ \\ { \rm{r = 3 \: cm}}[/tex]
- Therefore, let's find the area;
[tex]{ \rm{area = \pi {r}^{2} }} \\ { \rm{area = \pi {(3)}^{2} }} \\ { \rm{area = 9\pi \: {cm}^{2} }}[/tex]
[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: creed \: ...}}}[/tex]
Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia.How much money does John have?
John has $595 in his possession.
An algebraic expression is what?An expression that has been created utilizing integers, constants, variables, and algebraic operations is known as an algebraic expression.
For instance, [tex]x^{2} + 2x + 2[/tex]
2x + 3
etc
The answer to the query is
John has the same amount of more money over Torrie as he has under Sonia.
Let's suppose it is $x since John has the same amount of money more than Torrie as he has less than Sonia.
Case 1
Actual amount that John has is $430 plus $x.
Case 2
Actual amount that John has is $760 less $x.
⇒ $430 + $x = $760 - $x
⇒ $2x = $330
⇒ $x = $165
John currently possesses $595 ($760 - $x) or ($430 + $x) in his possession.
John therefore has $595 in his bank account.
The amount of money that john has is $595
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the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
Answer:
92F
Step-by-step explanation:
the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
= 90 - (-2)
= 90 + 2
= 92F
how is a circle square and triangle related?
In order to depict alchemy and the philosopher's stone, which is the ultimate goal of alchemy, a sign of a circle within a square within a triangle within a larger circle started to be used in the 17th century.
What do the symbols for a circle, triangle, and square mean?
It has deep philosophy where a circle symbolizes heaven and represents number one, a square represents earth and represents number two, and a triangle represents people and represents number three.
An enduring representation of good fortune, the triangle enclosed within a circle was thought to stave off evil spirits. It was accepted by Alcoholics Anonymous as a symbol of a person's transition from an alcohol preoccupation to a life saturated with the triangle of Recovery, Unity, and Service.
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help me out pleaseeeeeeeeeeeeeeeeee
Answer:
I'm pretty sure the answer is 191/30 when simplified
Step-by-step explanation:
Yup
( 50 points ) Can some1 help me figure out these ???
Volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
As given,
Dimensions of fish food cubes:
Length=1/4 ft
Width=1/4 ft
Height=1/4ft
a. Volume of fishing food cube=Length ×width ×height
=(1/4)×(1/4)×(1/4)
=(1/64)ft³
b. Volume of big box
=(Number of boxes) ×(volume of fishing food cubes)
=2×(1/64)
=(1/32)ft³
c. Dimensions of shipping box
Length=3ft
Width=3 3/4 ft
=15/4 ft
height=3 1/4 ft
=13/4 ft
Volume of shipping box=3 × (15/4) ×(13/4)
=(585/16) ft³
Therefore, volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
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need this asap!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Triangle ABC has two given angles: 105 degrees and 47 degrees. Because a triangle has a total of 180 degrees, then angle BCA has angle 180 - 105 - 47 = 28
Angle BCA and Angle CAE are alternative interior angles, meaning they are equal. Thus angle CAE should be 28 degrees
40 push-ups in 5 days =
push-ups in 6 days
Answer:
48 push-ups
Step-by-step explanation:
40 to 5 = 48 to 6
I’m trying to do this equation I put the right question but it dosent work pls help ASAP
Answer:
x < 10
set builder notation: (-∞ , 10)
Step-by-step explanation:
2(x - 4) < 12
multiply left side out:
2x - 8 < 12
add 8 to both sides:
2x - 8 + 8 < 12 + 8
2x < 20
divide both sides by 2:
2x/2 < 20/2
x < 10
in set builder notation: (-∞ , 10)
What is the slope of the line that passes through these two points (8, 4) and (5, 3)?
Answer:
the answer is 3/1
Step-by-step explanation:
u do 8-5/4-3 which is 3/1
mcdonald's claims that their monopoly game has a win rate of 25%. if you play the game 500 times, what is the probability that your win rate will be between 21% and 23%?
The required probability is 0.132 .
What is normal approximation?
The sampling distribution of averages or proportions from a large number of independent trials approximately and the expectation of a sample proportion or average is the corresponding population value.
On solving using mean sampling method, we get
P(E) = 0.132
Hence, the required probability is 0.132 .
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Add.
7+(-7)= help help help
Answer:
the answer is 0
Step-by-step explanation:
a negative plus a positive is a positive
Part 1
Tell whether the sequence is arithmetic. If it is, identify the common difference.
-1,4,9,14
The Federal form 1040 is used by whom to file taxes?
O Individuals
O Companies
O Law Enforcement
O Nonprofit Organizations
16. Jani drives 290 miles in 5 hours. About how many miles does she
drive each hour?
Answer: 58
Step-by-step explanation: you divide 290 into 5