Rounding to the nearest million, the gross sales amount to $233 million.
What do you mean by gross sales?Gross sales refer to the total amount of revenue generated from the sale of goods or services before any deductions or expenses are made. It is the total amount of money received from customers, before accounting for any discounts, returns, or other adjustments. Gross sales can also be referred to as total sales or revenue.
If net sales equal gross sales less returns, then we can write an equation:
net sales = gross sales - returns
where returns equal a certain percentage of gross sales.
$210 million = gross sales - 0.10 * gross sales
Expanding the right side of the equation:
$210 million = gross sales - 0.1 * gross sales
$210 million = (1 - 0.1) * gross sales
$210 million = 0.9 * gross sales
Dividing both sides by 0.9:
$210 million / 0.9 = 0.9 * gross sales / 0.9
$233.33 million = gross sales
Rounding to the nearest million, the gross sales amount to $233 million.
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Jina borrowed a total of $21,000 from two different banks to start a business. One bank charged the equivalent of 6% simple interest, and the other charged 3.5% interest. If the total interest after 1 year was $1210, determine the amount borrowed from each bank.
Answer: hope this helps
Let x be the amount borrowed from the bank that charged 6% interest and y be the amount borrowed from the bank that charged 3.5% interest. We know that:
x + y = 21,000 (the total amount borrowed)
We also know that the total interest after 1 year was $1210. The interest charged by the first bank is 6/100x = 0.06x and the interest charged by the second bank is 3.5/100y = 0.035y.
The total interest is the sum of the interest charged by both banks:
0.06x + 0.035y = 1210
We have two equations:
x + y = 21,000
0.06x + 0.035y = 1210
To find the amount borrowed from each bank, we can use the first equation to solve for one of the variables in terms of the other. For example, we can substitute y = 21,000 - x in the second equation:
0.06x + 0.035(21,000 - x) = 1210
0.06x + 735 - 0.035x = 1210
0.025x = 485
x = 19400
Now, we can substitute this value of x back into the first equation to find the value of y:
y = 21,000 - x
y = 21,000 - 19400
y = 1600
So, Jina borrowed $19400 from the bank that charged 6% interest, and $1600 from the bank that charged 3.5% interest.Step-by-step explanation:
George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.The table shows their price structures. An equation representing George’s charges is written in the chart.
Landscaping Cost
George
Chin
George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours.
3 x + 3 y = 90
What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours?
4 x minus 2 y = 84
2 x minus 4 y = 90
2 x + 4 y = 84
4 x + 2 y = 90
The equation for Chin’s charges is 2x+4y=84. Therefore, option C is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.
George charges one hourly rate for the first three hours and then reduces his rate for additional hours.
So, the equation is 3x+3y=90 --------(I)
George for the first two hours and the same reduced rate for additional hours.
Noe, the equation is 2x+4y=84 --------(II)
x+2y=42
x=42-2y
Substitute x=42-2y in equation (I), we get
3(42-2y)+3y=90
126-6y+3y=90
3y=36
y=12
Substitute y=12 in equation (II) and simplify, we get
2x+48=84
2x=84-48
2x=36
x=18
So, the solution of system of equation is (18, 12)
Therefore, option C is the correct answer.
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Twice Martina's age decreased by
Mario's age is 6. Three times Martina's
age increased by twice Mario's is 23.
What are their ages?
Answer:
Martina is 5 and Mario is 4
Step-by-step explanation:
2x -y = 6 multiply through by 2 4x -2y = 12
3x + 2y = 23
Add the two numbers together
4x - 2y = 12
3x + 2y = 23
7x = 35 Divide both sides by 7
x = 5 Marina's age
2x - y = 6 Substitute 5 for x and solve for y
2(5) -y = 6
10 -y = 6 Subtract 10 from both sides
-y = -4 Multiply both sides by -1
y = 4 Mario is 4.
1/5 of a crate of 30 eggs is bad.
What fraction is good?
(ii) Which is more?
Answer:
If 1/5 of 30 eggs is bad, then 4/5 of 30 eggs is good.
4/5 of 30 = 4*6/5*6 = 24/30
24 eggs are good
4/5 of the eggs are good
Step-by-step explanation:
Suppose the following random numbers is being used to stimulate event of a basketball player making three free throws in a row. How should the numbers be rearranged?
The list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
Given that random numbers is being used to stimulate event of a basketball player making three free throws in a row
The list is given as:
860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
When rearranged, we have: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
Hence, the list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
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I HELP ON THIS ONE PLSSSSS
The given above function has neither maximum nor minimum.
What is the Cube Root Function? f(x) = x is the formula for the fundamental (parent) cube root function. After transformations, it can alternatively take the form f(x) = a (bx - h) + k. Here, the transformations are denoted by the real numbers a, b, h, and k.The basic cube root function is expressed as y=x13 and the entire cube root function is written as y=a(x-h)13 + k.A integer y such that y3 = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have precisely one real cube root and two complex conjugate cube roots.Given data :
The cube root function begins in Quadrant III and ends in Quadrant I. It passes through the origin, (0,0).
Did you mean 4*∛3? or 4*x*√3? I will assume you meant the former, not the latter.
The graph of 4*∛3 looks the same as that of ∛3 except that the whole graph has been stretched vertically by a factor of 4.
This function has neither maximum nor minimum.
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Dianelys is deciding between two truck rental companies. Company A charges an
initial fee of $20 for the rental plus $1.50 per mile driven. Company B charges an
initial fee of $40 for the rental plus $1 per mile driven. Let A represent the amount
Company A would charge if Dianelys drives a miles, and let B represent the amount
Company B would charge if Dianelys drives a miles. Graph each function and
determine the number miles driven, x, that would make the cost of each company the
same.
Company A charges less than Company B when x is shorter than 30 miles. A = 1.50x+75 and B = 2.50x+45 are the price equations used by the companies, respectively.
what is unitary method ?The unit strategy is an approach to problem-solving that involves first figuring out the value of a single unit, then multiplying that value to figure out the required value. Simply described, the unit method is used to extract a single unit value from a specified multiple. For instance, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure might be standardized. one nation. anything has a distinctive element. Its adjoint and reciprocal are equal in terms of mathematics (algebra), linear algebra, mathematical analysis, or mathematics of matrices or operators.
given
In the event that x = 0 miles are traveled, Company A will charge $75 for the rental plus an extra $1.50 per mile. The cost for x miles from Company A is so as follows:
⇒ A = 1.50x + 75
Company B bills $45 for the rental and an additional $2.50 per mile traveled for traveling x = 0 miles. The cost for x miles from Company B would therefore be as follows:
⇒ B = 2.50x + 45
Thus, Company A charges less than Company B when x is shorter than 30 miles. A = 1.50x+75 and B = 2.50x+45 are the price equations used by the companies, respectively.
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You can clean the gutters of your house in 6hours working together you and your friend can clean the gutters in 3.5 hours let x be the time in hours your friend would take to clean the gutters when working alone write and solve an equation to find how long you friend would take to clean the gutters when working alone
Your friend would take 11.6 hours to clean the gutters when working alone.
What is the work rate?
A rate is a ratio that is used for comparing two different kinds of quantities which have different units. A rate of change is a rate that describes how one quantity changes in relation to another quantity.
Here, we have
Given: You can clean the gutters of your house in 6 hours working together you and your friend can clean the gutters in 3.5 hours let x be the time in hours.
We have to determine an equation to find how long your friend would take to clean the gutters when working alone.
Your Work rate = 1/5
Your and your friend's work rate = 1/3.5
Your friend's rate = 1/3.5 - 1/5 = 3/35
t = 1/(3/35) = 35/3 = 11.6hours
Hence, your friend would take 11.6 hours to clean the gutters when working alone.
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Ill give brainliest for the answer
Answer: square B
Step-by-step explanation:
look at it from the side to the top side it looks like a square.
Simplify.
Rewrite the expression in the form bn.
6-2
64
Stuck? Review related articles/videos or use a hint.
Repor
The expression in the form of [tex]b^n[/tex] is 8².
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
64
We need to write 64 in the form of [tex]b^n[/tex]
Now,
8 x 8 = 64
So,
8² = 64
b = 8 and n = 2
Thus,
The expression is 8².
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Find the next sequence.
3,9,7,21,19,57,55,165,
On solving the provided question we can say that the sequence is 3,9,7,21,19,57,55,165, next is = 210
What is Sequences?Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same. Arithmetic progression can be of two types: There are a finite number of terms in a finite geometric progression. The series' early, late, tolerance, and number of terms can be determined. Differential equations are frequently used in everyday life to compute the flow and motion of electricity, the back and forth motion of devices like pendulums, and to clarify thermodynamic principles.
here,
the sequence is
3,9,7,21,19,57,55,165,
next is = 210
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15.
(17x-8)
(10r - 1)*
Answer:
Step-by-step explanation: 69
Answer:
170rx−80r−17x+8
If this is simplifying!
Step-by-step explanation:
FOIL
(Look at picture) tysm!!!!!!!! <3
Answer: I can't answer right now
Step-by-step explanation: I will get back to you on this
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.
The sum of interior angles of a polygon with {n} as the number of sides is given by S = (n - 2) x 180°.
What is a polygon?In geometry, a polygon can be defined as a flat or plane, two -dimensional closed shape bounded with straight sides. It does not have curved sides.A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.Given is a polygon.
To find the sum of interior angles of a polygon, we can use the formula -
S = (n - 2) x 180°
where -
{n} is the number of sides in a polygon.
Therefore, the sum of interior angles of a polygon with {n} as the number of sides is : S = (n - 2) x 180°.
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Javier bought a microwave for 105$. The cost was 30% off the original price. What was the price of the microwave before sale
Answer:
$136.50
Step-by-step explanation:
105$ is 100%, To find out what 30% is you must first find out 10% which is $10.50. Multiply that by 3 to get 30%. Add to 105$.
The parent function f(x)=√ is transformed to g(x) = f(x + 2) - 4. Which is the graph of g?
O A.
OB.
-6 -5 -4 -3 -2 -1
DE
COD JODO
-6 -5 -4 -3 -2 -1
YA
+5
+3
F
1 2 3 4 5 6
-1
23
-2
3
4
-5
-6
+5
£3
+2
-2
9
1 2 3 4
5 6
XA
Answer:
The graph of g is B. This is because the function f(x) is shifted right by 2 units and down by 4 units, which is represented by the graph in B.
Step-by-step explanation:
The graph for function g is attached below.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
The parent function is
f(x) = ∛x
This function is transformed to obtain
g(x) = ∛(x + 2) - 4.
So, +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.
and, -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.
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Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 24 feet. The perimeter of the dog run must be at least 58 feet and no more than 96 feet. Use a compound inequality to find the range of values for the width of the dog run. Use
x when writing your inequality.
The half life of uranium 234 is 2.5 x 10^5 and a half life of plutonium is 8.0 x 10^7 years. how many times greater is the half of plutonium than uranium 234
The half life of plutonium is 320 times greater than the half life of uranium 234.
How to obtain the ratio between the two amounts?The ratio between the two amounts is obtained applying the proportions in the context of the problem.
The ratio between these two amounts gives how many times one amount is greater than the other.
The half-life of each substance is given as follows:
Plutonium: 8 x 10^7 years.Uranium 234: 2.5 x 10^5 years.Hence the ratio is given as follows:
8 x 10^7 / (2.5 x 10^5) = 3.2 x 10² = 320.
Hence the half life of plutonium is 320 times greater than the half life of uranium 234.
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Complete the table to show different percentages of Henrik s mass
11yrd 7yrd 18yrd is it a right triangle
The sides → 11 yards, 7 yards, 18 yards, do not represent a right angled triangle.
What is a right angled triangle?A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degreesFor a right angled triangle, using the Pythagoras theorem, we can write that → (hypotenuse)² = (base)² + (perpendicular)²Given are the three sides of a triangle as shown -
11 yards, 7 yards, 18 yards.
In order to be the given triangle as a right angled triangle, we will have to prove that → (hypotenuse)² = (base)² + (perpendicular)².hypotenuse is the longest side i.e. 18 yards.18² = 11² + 7²324 = 121 + 49
324 ≠ 170
Therefore, the sides → 11 yards, 7 yards, 18 yards, do not represent a right angled triangle.
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Solve the equation 8y-7x=3 for y.
PLEASE HELP
Answer:y=3/8+/7/8x
Step-by-step explanation:
I need help on Algebra 2 question
Answer: final equation is g(x) = 5√x + 5
The parent function f(x) = √x is the square root function, which has a shape of a "V" upside down.
The first transformation is a vertical stretch by a factor of 5. To apply this transformation, we need to multiply the function by 5.
g(x) = 5√x
The second transformation is a translation 4 units right, which is the same as adding 4 to the x in the function.
g(x) = 5√x + 4
The final transformation is a translation 1 unit up, which is the same as adding 1 to the y in the function.
g(x) = 5√x + 4 + 1
So the final equation is g(x) = 5√x + 5
What is the slope of the line of 8x - 6y = 1
Answer:
4/3
or
1.33 repeating
Step-by-step explanation:
-6y = -8x + 1
y = 4/3x -1/6
Answer:
m = 4/3
Step-by-step explanation:
8x - 6y = 1
We want to get it to the form y = mx + b
8x - 6y = 1
-6y = -8x + 1
y = 8/6x + 1
m = 8/6 = 4/3
So, the slope is 4/3
|x-5|>9
give the answer as an equality
Since |x-5|>9 is equal to 14, or x > 14, then x -4. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.
What do you mean by inequality ?Let's tackle your disparity one step at a time.
|x-5|>9
Solve absolute value using |x-5|> 9
Either x - 5 > is known. 9 or x - 5 < -9\sx - 5 > 9 (Possibility 1)
x - 5 + 5 > 9 + 5 (Add 5 to both sides) (Add 5 to both sides) $x>14 x - 5 -9 x - 5 + 5 -9 (Possibility 2) (Add 5 to both sides)
x < -4 , x > 14 or x < -4
A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance. The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. The portion to the left is indicated by this.
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What is the solution set to
|2x + 3 + 4 = 15?
A x = -14 and 8
B
C
D
E
x = -11 and 11
x = -7 and 4
x = 0
x = 1
well
well if x = -11 and 11
x = -7 and 4 then the solution must be to substitute this into ur formula |2x + 3 + 4 = 15 and 2 x x so -7 multiplied by 2 so -14 and substitute the rest
The vertex of the quadratic function on the graph is (-2, 4).
Responses
True
True
False
The vertex of the given quadratic function y = 4(x-9)² + 2 on the graph is (9,2) which is the true statement.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The quadratic function is given in the question, as follows:
y = 4(x-9)² + 2
The general form of the quadratic equation is with vertex (h,k)
y = a(x-h)² + k
Vertex (h,k) = (9,2)
Thus, this is the true statement and the graph has been attached below.
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The question seems incomplete, the complete question would be as:
The vertex of the quadratic function y = 4(x-9)² + 2 on the graph is (9,2).
True
False
Maxine bikes 6 miles from home. She then rests for a
short time before biking 4 more miles. After a short rest,
she bikes home. Complete the graph so it shows the
distance Maxine is from home compared to the time.
The graph will have one horizontal line for the rest and then again an inclined line.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In discrete mathematics, and more specifically in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.
Given that Maxine bikes 6 miles from home. She then rests for a short time before biking 4 more miles. After a short rest, she bikes home.
The rest time will be a constant line and the 4 more miles will be an inclined line. The graph is attached with the answer below.
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12 songs in 42 minutes
The duration of one song will be 3.5 minutes.
What are constant functions?Constant functions are the functions that are of the form -
y = f(x) = K
Given is that 12 songs in 42 minutes.
Now, for 12 songs, the duration is 42 minutes.
For 1 song, the duration will be - (42/12) minutes or 3.5 minutes.
We can represent it using a constant function as -
y = f(x) = 3.5
Therefore, the duration of one song will be 3.5 minutes.
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Samir buys a house in a new neighborhood. A few months later, Carson buys a different house in the same neighborhood.
Is it independent or dependent?
Answer: It is independent.
Step-by-step explanation: The decision of Samir to buy a house in a new neighborhood and the decision of Carson to buy a different house in the same neighborhood are independent events. They are not dependent on each other and their actions do not affect the outcome of the other person's decision. The fact that they both bought houses in the same neighborhood is a coincidence and does not impact the outcome of either decision. Samir's decision to buy a house is not affected by Carson buying a house in the same neighborhood and vice versa.
6
Find the area of the figure.
10 in.
Exercises 4.3 > Exercise 6
The area is
10 in.
6 in.
square inches.
4 in.
Area of the figure is 124 cm²
Find the area?The size or extension of a two-dimensional shape or figure in a plane is used to calculate its area. It is the two-dimensional equivalent of a solid's three-dimensional volume and a curve's one-dimensional length. It can be compared to the amount of paint needed to completely cover a surface.
The International System of Units accepts the square metre, usually known as the m2, as the standard area unit (SI). The area of some of the most well-known simple forms can be calculated using the examples and equations given below.
Area of square = length x length
=10*10=100 cm²
Area of small rectangle = length x breadth
= 10*4=40 cm²
Area of two triangles together = 4 × 4
= 16cm²
Total area = 100 + (40 -16)
= 124 cm²
Thus, Area of the figure is 124 cm²
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