Dominic's total earnings for the week are calculated by adding his fixed salary of $285 to his commission, which is 8% of his sales. The commission on $4,213 worth of sales is $337.04, resulting in total earnings of $622.04.
Explanation:The question requires us to calculate Dominic's total earnings for the week based on his fixed salary and the commission he makes from sales. Dominic earns a fixed amount of $285 per week plus an 8% commission from his sales. To find his total earnings, we need to calculate his commission from the $4,213 worth of merchandise he sells.
Firstly, we convert the 8% commission rate into decimal form by dividing by 100, which gives us 0.08. Then, we multiply the total sales amount by this decimal to find the commission amount:
Commission = Total Sales × Commission RateCommission = $4,213 × 0.08Commission = $337.04Next, we add the commission to Dominic's fixed salary to get his total earnings for the week:
Total Earnings = Fixed Salary + CommissionTotal Earnings = $285 + $337.04Total Earnings = $622.04Therefore, Dominic's total earnings for the week will be $622.04.
what adds to be the bottom number but also multiplies to the top
If AB=3x+2 and AC=X+14. Find BC
B = 3x/A + 2/A
C = x/A + 14/A
I hope this helps please give me brainliest
BC = AC-AB
BC = (x+14) -(3x+2)
BC = -2x+16
find the reciprocal 8
What is 0.81 as a fraction when the 81 is repeating?
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can william use to find how many tickets he has left
select two answers please!!!!!
The arctic lion's Mane Jellyfish is one of the largest known animals. Its tentacles can be as long as 120 feet. Find how this length compares to your height. Round your height to the nearest foot. 120 feet is time as long as feet.
Answer:
sea creature is 20 times more long as compared to me.
Step-by-step explanation:
If my height is 6 feet and the length of arctic jellyfish is 120 feet then i have to compare my length with the length of the jellyfish.
[tex]\frac{\text{Length of jellyfish}}{\text{My length}}=\frac{120}{6}[/tex]
[tex]\frac{\text{Length of jellyfish}}{\text{My length}}=20[/tex]
Length of jellyfish = 20 times (my height)
The the sea creature is 20 times more long as compared to me.
Harlen has a wooden board that is 2 and one-fourth feet long. He needs to cut the board into one half-foot piece. How many can one half-foot piece of the board Harlen cut? These are the answer choices
Answer Options with 4 options
A.
1 and one eighth
B.
1 and one fourth
C.
3 and one half
D.
4 and one half
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If 3x - 1 = 11, what is the value of x2 + x?
The value of x² + x will be 20 when 3x - 1 = 11 .
Given, equation : 3x - 1 = 11
Firstly find the value of x from the equation .
Equation : 3x - 1 = 11
3x = 11 + 1
3x = 12
x = 4
Substitute x in x² + x .
= (4)² + 4
= 20
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in a frog hopping contest,leaping louie finished one Leap ahead of able Mable able Mable was not in last place muddy buddy finish 7 Leaves ahead of hopping Henry hopping Henry finish three leaves behind leapin Louie's leapin Louie finished five leaves behind Dynamite Dixie who won the contest
Klara bought a dozen bags of bird food for $27. Use compatible numbers to find the approximate cost of six dozen bags of bird food
Answer:
The cost of six dozen bags of bird food is $162.
Step-by-step explanation:
Consider the provided information.
Klara bought a dozen bags of bird food for $27.
The above information can be written as:
1 dozen = $27
Multiply both the sides by 6.
1×6 dozen = $27×6
6 dozen = $162
Hence, the cost of six dozen bags of bird food is $162.
Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
Let’s assume that one drop is equal to 50 µl. a total of 2366 drops will fill how many tablespoons?
2/9 of the people on the restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant? Please give a simple explanation, with why you did each, Thanks!
The ratio of Isabella's money to Shane's money is 3:11. If Isabella has $33, how much money do Shane and Isabella have together? Use diagrams to illustrate your answer.
An apartment has 918 square feet of carpeting. How much is this in square meters? Use the following conversion: 1 square meter is 10.8 square feet.
The area of the apartment in square meters will be 85 square meters.
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that an apartment has 918 square feet of carpeting. The area of the apartment in square meters will be calculated as:-
As we know that 1 square meter is equal to 10.8 square feet.
10.8 square feet = 1 square meter
918 square feet = 918÷10.8
918 square feet = 85 square meters
Therefore, the apartment will have an area of 85 square meters.
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Suppose that a subset of 4 balls will be randomly selected from a collection of 4 amber balls, 4 blue balls,4 copper balls, and 4 green balls (so 16 balls in all). what is the probability that exactly two of the colorswill be present (and exactly two of the colors will be absent) in the set of randomly selected balls
16% can be fonud..............................................................
Im not sure
What is the place value of the2 in 324 and 0.324
7x2 + 7y2 − 28x + 42y − 35 = 0. in standard form
Answer:
[tex](x-2)^2+(y+3)^2=18[/tex]
Step-by-step explanation:
This is a circle. It already is in standard form, so maybe you mean work form? I'll go with that, since there's nowhere else to go!
Let's group the x terms together and the y terms together and move the constant to the other side of the equals sign first.
[tex]7x^2-28x+7y^2+42y=35[/tex]
In the world of conics, this is a circle because the leading coefficients on the x-squared term and y-squared term are the same, namely 7.
But if we are going to get this into its graphing form, or work form, we need that 7 to be a 1. We are going to complete the square on both the x terms and the y terms. First we factor out the 7 from both x and y:
[tex]7(x^2-4x)+7(y^2+6y)=35[/tex]
The rules for completing the square are as follows:
Take half the linear term, square it, and add it to both sides, keeping in mind the 7 you factored out as a multiplier.
Our linear term in the first set of parenthesis is 4 (from the -4x). Half of 4 is 2, and 2 squared is 4. We add a 4 into the parenthesis, but multiplying in the 7 has us actually adding in a 28.
Our linear term in the second set of parenthesis is a (from 6y). Half of 6 is 3, and 3 squared is 9. We add a 9 into the parenthesis, but multiplying in the 7 has us actually adding in a 63. Now here is what we have done thus far:
[tex]7(x^2-4x+4)+7(y^2+6y+9)=35+28+63[/tex]
We have, in the process of completing the square, created 2 perfect square binomials on the left. That's why we do this...to get those perfect square binomials. Stating those on the left and adding on the right breaks down our equation into work form. Well, almost.
[tex]7(x-2)^2+7(y+3)^2=126[/tex]
Actual work form has us divide both sides by 7 to get the final answer of
[tex](x-2)^2+(y+3)^2=18[/tex]
And there you are!
The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one moped is
7 x 152 = 1064 for 7 bikes
since 2 mopeds cost that amount divide by 2 for the price of 1 moped
1064/2 = $532
MATH HELP
Match the expression to the product
Expressions: 3 x (-4/10), -3 x (-4/10), -2 x (8/9), 2 x (8/9)
Products: -1 1/5, 1 7/9, 1 1/5, -1 7/9.
A class of 144 students voted for a class president. Three fourths of the students voted for you. Of the students who voted for you, 5/9 are female. How many female students voted for you?
If m angle abf=7b-24 and m angle abe=2b find m angle ebf
angle ABE is equivalent
to the whole angle, and it measures 2b.
while the angle ABF is only a portion of angle ABE, and it
measure 7b - 24.
since we know the measure of the whole angle and a part of
the angle, we can then subtract to find the left over angle (angle EBF), so
Angle EBF = Angle ABE - Angle ABF
Angle EBF = 2b – (7b – 24)
Angle EBF = 24 – 5b
How do you solve for this show steps for it
Write the equation in standard form using integers.
y=4x+9
To convert the equation y = 4x + 9 to standard form, you subtract 4x from both sides to get -4x + y = 9, and then multiply by -1 to obtain 4x - y = -9, which is in the standard form with A, B, and C as integers.
Explanation:To write the equation y = 4x + 9 in standard form using integers, we need to rearrange the equation so that it has the form Ax + By = C, where A, B, and C are integers, and A should be non-negative. Let's perform the transformation step by step:
Start with the given equation: y = 4x + 9.Subtract 4x from both sides of the equation to move the term with the variable x to the left side: -4x + y = 9.To ensure that the coefficient for x is non-negative, we can multiply the entire equation by -1 to get: 4x - y = -9, which is now in standard form with A = 4, B = -1, and C = -9.In the process of constructing a table or plotting points, you would select values for x, calculate the corresponding y values, and then plot these values on a graph to visualize the line as described in Table A1 and Figure A1. Additionally, understanding that equations like 7y = 6x + 8, 4y = 8, and y + 7 = 3x are all linear equations, and understanding the relationship between independent and dependent variables, such as the year and the number of flu cases, is important in the context of mathematics and linear equations.
What is the domain of f(x) = 3x?
Answer:
C. All real numbers.
Step-by-step explanation:
We have been given a function [tex]f(x)=3^x[/tex]. We are asked to find the domain of our given function.
We know that domain of a function is all values of x for which a function is real and defined.
We know that the domain of an exponential function is all real values of x that is [tex](-\infty,\infty)[/tex].
Since our given function is an exponential function, therefore, domain of our given function is all real numbers.
The domain of a function is the set of input values the function can take.
The domain of f(x) = 3x is (c) all real numbers
The function is given as:
[tex]f(x)=3x[/tex]
The above function is not restricted to any input value.
This means that, x can assume any real number as its value, and the function will still be defined.
Hence, the domain of f(x) = 3x is (c) all real numbers
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The line 3x+4y=24 cuts the x-axis at point A and the y-axis at B. Find
The coordinate of A and B
The length of AB
Point C is on the line such that C is equidistant from x and y-axis.find coordinate of C.
The coordinates of A and B are (8,0) and (0,6) respectively. The length of AB is 10 units. The coordinates of point C, which is equidistant from both axes, are (3,3).
Explanation:To find the coordinates of points A and B, you should find the points where the line intersects the x and y-axes. For the x-axis (y=0), the equation 3x + 4(0) = 24 simplifies to 3x = 24, or x = 8. Therefore, the coordinates of A are (8,0). Similarly, for the y-axis (x=0), the equation 3(0) + 4y = 24 simplifies to 4y = 24, or y = 6. Therefore, the coordinates of B are (0,6).
To find the length of AB, we use the distance formula, √[(x2−x1)²+(y2−y1)²], which results in √[(0-8)²+(6-0)²] = √[64+36] = √100 = 10.
For point C to be equidistant from the x-axis and the y-axis, its coordinates must be the same. Substituting y=x into the equation of the line gives 3x + 4x = 24, or x=3. So the coordinates of C are (3,3).
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A single six-sided die is rolled. find the probability of rolling a number less than 3
Given the functions, f(x)=x^3+2 and g(x)=x-9, perform the indicated operation. When applicable, state the domain restriction. (f/g)(x)
Final answer:
To divide f(x) by g(x), we get [tex](f/g)(x) = (x^3 + 2) / (x - 9)[/tex] with a domain restriction where x cannot equal 9 because division by zero is undefined.
Explanation:
To perform the indicated operation (f/g)(x), we divide the function f(x) by the function g(x). Given[tex]f(x)=x^3+2[/tex] and g(x)=x-9, we have:
[tex](f/g)(x) = (x^3 + 2) / (x - 9).[/tex]
There is a domain restriction for the function g(x) because we cannot divide by zero. Therefore, the value that makes g(x) = 0 must be excluded from the domain of (f/g)(x). In this case, the domain restriction is x ≠ 9, as 9 would make the denominator zero.