GH 13000 is the amount of his sales for that month.
how to find sales of the month?
total income = salary + commission
total income = GH530 (given)
salary = GH200 (given)
Commission is 3% on the sales above Gh2000 (given)
Let sales be x
total income = salary + commission
530 = 200+3%(x-2000)
530-200=0.03(x-2000)
330/.03=x-2000
11000=x-2000
x= 13000
total sales = GH13000
https://brainly.com/question/4470498
#SPJ2
Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36}
1st quartile: 11
median: 38.50000
3rd quartile: 45
According to the given information:Order these numbers in increasing order: 6, 7, 15, 36, 41, 43, 47, 49There is a 38.5 median (it is the mean of 36 and 41 - the pair of middle entries).6,7,15,36, or the left-most half of the data, make up the sample.The median of the lower half is 11, which is the first quartile (it is the mean of 7 and 15 - the pair of middle entries).41, 43, 47, and 49, which are the data points in the upper half, are to the right of the median.The median of the upper half is 45 in the third quartile (it is the mean of 43 and 47 - the pair of middle entries).The biggest value deviates 10.5 from the median (49-38.5)Measure descriptive statistics
1st quartile: 11
median: 38.50000
3rd quartile: 45
To know more about quartile visit:
https://brainly.com/question/8737601
#SPJ4
I understand that the question you are looking for is :
2 Drag the tiles to the boxes to form correct pairs. Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36} first quartile 38.5 median 11 third quartile 10.5 the difference of the largest value and the median 45
Solve: 25x2 − 30 = 0 round the answer to the nearest hundredth. x = −1.10 and x = 1.10 x = −26.15 and x = 1.15 x = 0 x = −0.83 and x = 0.83
Answer:
(a) x = -1.10 and x = 1.10
Step-by-step explanation:
A straightforward square root will give the value of x.
SolutionDivide by the coefficient of x^2:
x^2 -30/25 = 0
x^2 -1.20 = 0
Add 1.20, and take the square root.
x^2 = 1.20
x = ±√1.20 ≈ ±1.0954
x ≈ -1.10 and 1.10 . . . . . round to hundredths
__
Additional comment
For small values of x, the root of (1+x) is approximately 1+x/2. For a root accuracy to the nearest hundredth, x < 0.21 (as here). For accuracy to the nearest thousandth, x < 0.064.
I need the answers with the explanation!
Answer:
you need all of them?
Step-by-step explanation:
The nth term of a sequence is given by 3n² + 11 Calculate the difference between the 6th term and the 9th term of the sequence.
The difference between the 6th term and the 9th term of the sequence is 135
How to determine the difference
Given that the nth term is;
3n² + 11
For the 6th term, the value of n is 6
Let's solve for the 6th term
= 3( 6)^2 + 11
= 3 × 36 + 11
= 108 + 11
= 119
For the 9th term, n = 9
= 3 (9)^2 + 11
= 3( 81) + 11
= 243 + 11
= 254
The difference between the 6th and 9th term
= 254 - 119
= 135
Thus, the difference between the 6th term and the 9th term of the sequence is 135
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Please ASAP I WILL GIVE 30 POINTS IF THE CORRECT ANSWER, ALSO BRAINLEST AND 5 STARS ON YOUR ANSWER, PLEASE AND THANK YOU ASAP
Formula for the circumference of a circle is
[tex]c = \pi \: d[/tex]
where c is the circumference, and d is the diameter.
When diameter is 27-in, then
[tex]c1 = \pi \times 27[/tex]
When diameter is 25-in, then
[tex]c2 = \pi \times 25[/tex]
.: 27π-in – 25π-in is the farther distance.
Finding the difference, we have:
2π ≈ 6.28
.: 6.28-in is our final answer.
I hope this helpspls explain and provide calculation thank you
Answer:
At least 18 solid balls
Step-by-step explanation:
Volume of rectangular tank:[tex]\sf \boxed{\bf Volume \ of \ rectangular \ tank = length* width * height}[/tex]
Volume of empty space = Volume of the full tank - Volume of the tank till the water.
= 20*10*13 - 20*10*11
= 2600 - 2200
= 400 cm³
Volume of 1 solid ball = 23 cm³
Number of solid ball to make the tank overflow = 400 ÷ 23
≈ 18 solid balls
How many solutions can be found for the equation 4z 2(z − 4) = 3z 11? none one two infinitely many
There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is the Solution?A solution is any value of a variable that makes the specified equation true.
According to the given information:
4z + 2(z-4)= 3z+11
Solve the equation,
4z+2z-8=3z+11
6z-3z=11+8
3z =19
z=
Hence,
Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one
To know more about Equations and Solutions visit:
https://brainly.com/question/545403
#SPJ4
PLEASE HELP IM STUCK PLS
Answer: (8,0) and (0,-4)
Step-by-step explanation:
The x-intercept of an equation is when the equation touches the x-axis which is also where y = 0
So the x coordinate of the x-intercept is -2x + 0 = -16 as y = 0
x = 8 so the x-intercept is (8,0)
The y-intercept of an equation is when the equation touches the y-axis which is also where x = 0
So the y coordinate of the y-intercept is 0 + 4y = -16 as x = 0
y = -4 so the y intercept is (0,-4)
Someone help me please
45-45-90 triangles
Answer:
Side AB = [tex]9\sqrt{2}[/tex]
Side AB = [tex]9\sqrt{2}[/tex]
Side CB = 36
Step-by-step explanation:
This is a special right triangle and it's also an isosceles triangle
therefore the measure of AC = AB and they are both = [tex]9\sqrt{2}[/tex]
for this special triangle the measure of hypotenuse (CB in here) is represented with [tex]x\sqrt{2}[/tex] and the legs are represented with x, each
since legs' lengths are given as = [tex]9\sqrt{2}[/tex] then x = [tex]9\sqrt{2}[/tex]
replace the x in front of [tex]x\sqrt{2}[/tex] with [tex]9\sqrt{2}[/tex]
[tex]9\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 36
3. Bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of scissors, he cuts each piece in half (so the resulting size is 8” x 4”) and then places all the resulting card pieces in a new stack. If he repeats this procedure 4 more times, how many pieces of card stock will he have and what will be the measure of each piece? (Note: All cuts will be made along the longer edge of the piece if the piece of index card is not square.)
The number of pieces of card stock which would result upon the process repetition is; 256 pieces.
What is the number of card stock pieces resulting from the cutting process?According to the task content, it follows that since, there are 8 pieces of the 8 inches per side cards initially, the resulting number of cards after carrying out the process of cutting cards into half five, 5 times is;
No of cards = 8 (2)⁵
No. of cards = 256 pieces.
The size of each of the cards in discuss provided that all cuts will be made along and not across the longer edge is; 8 by 1/4 inches.
Read more on exponential functions;
https://brainly.com/question/14197900
#SPJ1
Angles 1 and 2 form a right angle. 2 lines form a right angle. another line extends between the 2 lines to form 2 angles. the top angle is labeled 1, and the bottom angle is labeled 2. which word describes their measures?
The word complementary describes the their measures of ∠1 and ∠2.
According to the statement
we have given that the some conditions like
Angles 1 and 2 form a right angle. 2 lines form a right angle. another line extends between the 2 lines to form 2 angles. the top angle is labeled 1, and the bottom angle is labeled 2.
And we have to find the word that describes all about the given angles.
So, For this purpose,
According the given conditions, we recall that:
Angles that are complementary angles whose sum equals 90 degrees.
A right angle equals 90 degrees.
From the information given, we know that:
m∠1 and m∠2 forms a right angle.
Since a right angle = 90 degrees, therefore:
m∠1 + m∠2 = 90° (complementary)
So, The word complementary describes the their measures of ∠1 and ∠2.
Learn more about complementary angles here
https://brainly.com/question/12047360
#SPJ1
Answer: complementary
Step-by-step explanation: took the test on edge!
Line m contains the points (4, 16) and (0, 8). At what point will line m intersect with line n if the equation of line n is -8x+4y=24 ?
A) (0, 0)
B) (-4, 0)
C) The lines don't intersect
D) The lines intersect at an infinite number of points
The correct option regarding the point at which the linear functions intersect is given by:
C) The lines don't intersect.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For line m, we have that the y-intercept is of b = 8. When x changes by 4, y changes by 8, hence the slope is of 2, and the equation is:
y = 2x + 8.
Line n, in slope-intercept format, is given by:
-8x + 4y = 24
4y = 8x + 24
y = 2x + 6
Hence:
2x + 8 = 2x + 6
0x = -2
Which is impossible, hence they do not intersect and option C is correct.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
Right angled triangleA right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.
For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.
Find the slopes of AB, BC and AC
Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5
Slope of BC = 0-5/7-1
Slope of BC = -5/6
Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11
Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
Learn more on right angle triangle here: https://brainly.com/question/22790996
#SPJ1
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
The solution to the system of equation is x < 44/3
Expansion of inequality expressionsInequality expressions are expressions not separated by an equal sign. An example of an inequality is a < b
Given the inequality expression below;
x + 2x + 6 < 50
Simplify to have:
3x + 6 < 50
Subtract 6 from both sides
3x + 6 - 6 < 50 - 6
3x < 50 - 6
3x < 44
Divide both sides by 3
3x/3 < 44/3
x < 44/3
Hence the solution to the system of equation is x < 44/3
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ1
3 tons of sawdust cost $5,700.00. What is the price per pound?
$
Answer:
$0.95/lb
Step-by-step explanation:
1 ton = 2000 lb
3 tons = 3 × 1 ton = 3 × 2000 lb = 6000 lb
$5700/(6000 lb) = $0.95/lb
Answer: $0.95/lb
Step-by-step explanation:
3 tons = 6000 pounds
Therefore, using ratio and proportion rules,
6000/5,700 = 1/x
x = 5700/6000 = 0.95
The price is $0.95, or 95 cents per pound.
Please this is urgent!
The perimeter of a regular octagon is
8 times the length of one side.
How many species go extinct in an average day? a. 3 b. 72 c. 1000 d. 20000 please select the best answer from the choices provided a b c d
It has been estimated that every year 20,000 species are going extinct and 72 species are going extinct on an average day.
What are species?
Species exist as organisms that contain similar characteristics and exist capable of interbreeding. A common example is human beings.
It has been observed that over the years, species have been going extinct due to human reasons such as excessive hunting, environmental factors such as natural disasters, global warming, and also due to changes in their genetic makeup or reduced reproduction.
It has been estimated that every year 20,000 species are going extinct and 72 species are going extinct on an average day.
To learn more about species refer to:
https://brainly.com/question/25939248
#SPJ4
Answer: Edge 2022, B. 72
The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as to manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the 0.05 significance level.
The conclusion based on the hypothesis is that do not reject the null hypothesis as the row an column factors are independent.
How to make the conclusion?From the information given, the null hypothesis is that the row and the column factors are independent. The alternative hypothesis is that they're dependent.
This was run by using the Chi square test and the following information was gotten:
Test statistic = 2.5234
P- value = 0.1122
Degree of freedom = (2-1)(2-1) = 1
Since the p value is equal to 1%, do not reject the null hypothesis as the row an column factors are independent.
Learn more about hypothesis on:
brainly.com/question/11555274
#SPJ1
Answer and explanation in the attached file.
A standard deck of cards contains 52 cards. There are four suits (spades, clubs, hearts, and diamonds) and thirteen of each suit (2-10, jack, queen, king, ace). One card is selected at random from the deck. What is the probability the card selected is an Ace or a heart?
The probability of selecting an ace or a heart when one card is drawn from 52 cards is 1/52.
Given that there are 52 cards in which there are 13 cards each for spades,clubs,hearts and diamonds.
We are required to find the probability of getting an ace or a heart when one card is drawn from 52 cards.
Probability is basically the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative. The probability can be calculated through following formula:
Probability=Number of items/total number of items.
Number of hearts=13
Number of ace=4
Probability of getting an ace or a heart when one card is drawn=P(X=heart)*P(X=ace)
=13/52 * 4/52
=52/(52*52)
=1/52
Hence the probability of getting an ace or heart when one card is drawn from standard deck of cards is 1/52.
Learn more about probability at https://brainly.com/question/24756209
#SPJ1
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include Mrs. Vera(only)?
There are 680 combinations of four teachers include Mrs. Vera(only)
How to determine the number of combination?The given parameters are
Teachers, n = 18
Selected teachers. r = 4
The selection must include Mrs. Vera.
So, the remaining parameters are:
Teachers, n = 17
Selected teachers. r = 3
The combination is then calculated as:
Ways = nCr
This gives
Ways = 17C3
Apply the combination formula
Ways = 17!/(14!3!)
Evaluate the expression
Ways = 680
Hence, there are 680 combinations of four teachers include Mrs. Vera(only)
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
45 square feet is the area of the base of the pedestal.
what is rectangular prism?
A rectangular prism is a 3D figure with 6 rectangular faces. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.we know that
The volume of the pedestal (rectangular prism) is given by the formula
V = B × h
where
B is the area of the rectangular base of pedestal
V = 405 ft³
h = 9 ft
put the given values in the formula and solve for B
405 = B × 9
B = 405/9
B = 45 ft²
Therefore, 45 square feet is the area of the base of the pedestal.
Learn more about rectangular prism
brainly.com/question/21308574
#SPJ4
Total area=
What is the total area?
Help me asap! Please!! Thanks so much :)
The total surface area of this shaded region is 1000 units²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The total surface area of a polygon is the sum of the individual areas of each surface.
Total area of the figure = 2(20 * 10) + 2(10 * 10) + 2(20 * 10) = 1000 units²
The total surface area of this shaded region is 1000 units²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
I have one try left on this problem
Answer:
632
Step-by-step explanation:
So we can define decreasing x% in two ways: we can define 20% off as 80% of the original value, or we can define subtracting 20% from the original value, and both representations are useful.
In this case it's more useful to define 20% as subtracting 20%, from the original value. The reason for this, is because since we're subtracting 20% of the original value, we then know that 126.40 is 20% the original value.
So to find x% of some value, you generally use the following equation: [tex]A*\frac{x}{100}[/tex] where A=original amount, and x is the percent. This equation is simply converting the x% to a decimal value. Since 126.40 is 20%, we can derive the following equation.
[tex]0.20A = 126.40[/tex]
We can solve for A, by dividing by 0.20
[tex]A=632\\[/tex]
It's also important to note, you didn't really have to set up this entire equation, since you know that the 126.40 is 20%, you simply could've multiplied by 5, since 20% is really just 1/5 of the entire value, so get the entire value, or original value you multiply by 5
Select the correct answer. what is the completely factored form of this expression? y2 − 12y 32 a. (y 4)(y 8) b. (y − 4)(y − 8) c. (y 18)(y 2) d. (y − 18)(y − 2)
Answer:
b. (y - 4)(y - 8)
Step-by-step explanation:
.Which statement is true about two ordered pairs
that are the same except for the signs of the
numbers?
A. Their points are reflections.
B. Their points are on the horizontal axis.
C. Their points are on the vertical axis.
D. Their points are in different quadrants.
Answer
The statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
What are ordered pairs?Ordered pairs are known to be pairs of numbers that are used locate a point in the rectangular coordinate plane
They are written as (x ,y)
where
x is the x-coordinate y is the y-coordinateIt is important to note that the location of the ordered pair in the quadrants determines the sign of the x and y coordinates.
The signs of the ordered pairs are given as;
When (x , y) is in Quadrant I then both x and y are positive
(x , y) is in Quadrant II then x is negative and y is positive (x , y) is in Quadrant III then both x and y are negative (x , y) is in Quadrant IV then x is positive and y is negativeTherefore, the statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
Learn more about ordered pairs here:
https://brainly.com/question/24301281
#SPJ1
What is [tex]\frac{14-7x}{7}[/tex]
Answer:
2-xStep-by-step explanation:
(14 - 7x)/7 =
[7(2-x)]/7 =
2-x
Geometry: complete this proof, ASAP!!!!!!!!!!!!!!!! It’s urgent
Answer:
1.ABC is equilateral triangle because all sides are equal
3.because they are the joined figure of a triangle
Use lagrange multipliers to find the minimum distance between the origin and the plane 3x y 2z = 28
The minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.
In the question, we are asked to use Lagrange multipliers to find the minimum distance between the origin and the plans 3x + y + 2z = 28.
Lagrange multipliers state that if we want to minimize a function, f(x, y, z), subject to a constraint g(x, y, z) = constant, then ∇f = λ∇g.
We want to minimize the distance, and the distance formula says that the distance from the origin to a point (x, y, z), is given as:
D = √(x² + y² + z²), which can also be shown as:
D² = x² + y² + z².
The gradient of this function is: (2x + 2y + 2z), which needs to be equal to the gradient of the constraint equation multiplied by the constant, λ, that is, λ(3, 1, 2), which gives:
2x = 3λ, or, x = (3/2)λ,
2y = λ, or, y = λ/2, and,
2z = 2λ, or, z = λ.
Substituting these in the equation of the plane, 3x + y + 2z = 28, we get:
3(3/2)λ + λ/2 + λ = 28,
or, 6λ = 28,
or, λ = 28/6 = 14/3.
Thus, we get:
x = (3/2)λ = 7,
y = λ/2 = 7/3, and,
z = λ = 14/3.
Substituting these in the distance formula, we get:
D = √(7² + (7/3)² + (14/3)²) = √(49 + 49/9 + 196/9) = √(686/9) = 8.73.
Thus, the minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.
Learn more about the Lagrange Multipliers at
https://brainly.com/question/15019779
#SPJ1
Combine the like terms to create an equivalent expression.
7+4c+2d+3
Answer:
4c+2d+10
Step-by-step explanation:
7+4c+2d+3
4c+2d+(3+7)
4c+2d+10
Answer: 4c+2d+10
Step-by-step explanation:
bell canada came by my house that I just bought and installed a new wire support for one of the telphone poles on my property. the electrical code says that the support must hit the ground at a 55 degree angle..If the telephone pole is 25 feet tall. how long is the wire spport that bell just installed?
Answer:
The cable length will have to be at least 30.51936ft
Step-by-step explanation:
[tex]c= \frac{25}{ \sin( 55 ) } = 30.51936[/tex]
C = Cable