Answer:
50,000
Step-by-step explanation:
Given that:
Sales on all goods up to 15000 = 6% commission
Sales exceeding 15000 = 5% commision
He remits Rs.47350 to his company after deducting his commission. What were his total sales
Let total sales = t
Commission will be in 2 folds ;
Sales up to 15000;
6% of 15000 = 0.06 * 15000 = 900
Sales above 15000;
5% of (t - 15000)
0.05 * (t - 15000) = 0.05t - 750
Total commision : 900 + 0.05t - 750
Total commision = 150 + 0.05t
Amount remitted = total sales - commission
47350 = t - (150 + 0.05t)
47350 = t - 150 - 0.05t
47350 = 0.95t - 150
47350 + 150 = 0.95t
47500 = 0.95t
47500 / 0.95 = 0.95t / 0.95
50000 = t
Hence, total earning, t, = 50000
Answer:
Rs.50,000
Step-by-step explanation:
Let the total sales be x
If a sales representative’s commission is 6% on all sales up to Rs 15000, then;
Commission = 6% of 15000
Commission = 6/100×15000
Commission = 6×150
Commission = Rs.900 on sales up to Rs. 15000.
Amount left unsold will be x - 15000
If there is 5% on all sales exceeding this, then the commission will be expressed as;
5% of (x-15000)
= 0.05(x-15000)
Total commission = 900+0.05(x-15000)
If the remits Rs47350 after deducting commission, then;
Total sales - commission = 47350
x - {900+0.05(x-15000)} = 47350
Open parenthesis
x - 900-0.05x+750 = 47350
x-0.05x-150 = 47350
x-0.05x = 47350+150
x-0.05x = 47500
0.95x = 47500
x = 47500/0.95
x = 50,000
Hence the total sales is Rs.50,000
If there are 32 boys and 24 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
• divide each ratio by 2 to its simplest terms up to the lowest factor of 2:
\(→ \: { \tt{32 :24 }} \\ \\ → \: { \tt{16 : 12}} \\ \\ → \: { \tt{8 : 6}} \\ \\ → \: { \tt{4 : 3}}\)
Answer:
look up because i dont know
Step-by-step explanation:
What is the area of the figure? Round to the nearest tenth.
8 in.
12 in.
A. 48.0 in.2
B. 62.0 in 2
C. 24.0 in.2
D. 96.0 in 2
O
Answer:
If the length and width are 8 and 12 than the area is 96. (D)
Step-by-step explanation:
Area is length x width.
12 x 8 = 96
Therefore, the area is 96.0 inches.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
Read more on slope here: brainly.com/question/3493733
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
a
You deposit $3000 into a bank account that pays 1.25% annual interest,
compounded monthly. How much interest does the account earn after 4 years?
1.25 percent of 3000=37.5
37.5 times 4=150
3000-150=2850
Can someone help me with both of these? You can answer only one, however, If you answer both that is who gets brainliest. don't answer just to take my points or you will get reported.
Answer:
1. true
2. Associative
Step-by-step explanation:
Help me please !!!!!!!!
Answer:
6%
Step-by-step explanation:
Simplify 5⁶/5³
A. 5³
B. 5²
C. 1³
D. 1²
Answer:
d
Step-by-step explanation:
Answer:
A. 5^3
Step-by-step explanation:
5^6 = 15625
5^3 = 125
15625/125 = 125
(a) The perimeter of a rectangular field is 350 m.
If the width of the field is 79 m, what is its length?
Answer: 96 m.
Step-by-step explanation: Let's call the length of the rectangular field "L".
We know the perimeter of the field is equal to the sum of all its sides, so:
350 = 2L + 2 * 79
Expanding the right side, we have:
350 = 2L + 158
Subtracting 158 from both sides:
192 = 2L
Dividing both sides by 2:
L = 96 m
So the length of the rectangular field is 96 m.
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
volume=------------cm^3
Answer:
8586.7cm^3
Step-by-step explanation:
We can denote the side of the base square as "x" in cm
We can also denote the height as "y" in cm
(x^2 * y) = V(x,y)
The surface area can be written as
(x^2 + 4xy = 2000)
We can make "y" as subject of the formula
4xy = 2000 - x^2
y=( 2000 - x^2)/ 4x----------eqn(*)
Substitute "y" into V(x,y)
(x*y)= x^2 * (2000-x^2)/4x = V(x)
We can divide the numerator by the denominator
y= x^2 (500/x - x/4)----------eqn#)
We can take the derivatives
V'(x)= 500 - 3/4x^2
If we set V'(x)=0 we have
500=3/4x^2
2000=3x^2
x^2=666.7
x=√666.7
x=25.8cm
From eqn(*)
y=( 2000 - x^2)/ 4x
y=(2000 - 25.8^2)/(4×25.8)
y=12.9cm
(x^2 * y) = V(x,y)
25.8^2 × 12.9
V(x,y)= 8586.7cm^3
Hence find the largest possible volume of the box is 8586.7cm^3
rope price of length 45cm 25 cm and 81 cm have to be cut into same size pieces what is the smallest price length possible
= 2025
When you are told to find the smallest length possible, you perform L.C.M(Least common multiples)
For this, you divide the given lengths using the numbers that divides all through.
I have added an image to this answer. Go through it for more explanation
Help me, I will give the brainlyest to the smartest and the fastest!
Answer:
{(1,4) (2,8) (3,12) (4,16)}
A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cylinder is equal to 10 feet.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters into the formula for the volume of a cylinder, we have the following;
V = πr²h
1,570 = 3.14 × r² × 5
1,570 = 15.7r²
r² = 1,570/15.7
r² = 100
Radius, r = √100
Radius, r = 10 feet.
Read more on cylinder here: brainly.com/question/14060443
#SPJ1
The game of Connex contains one 4-unit piece, two identical 3-unit pieces, three identical 2-unit pieces and four identical 1-unit pieces. How many different arrangements of pieces will make a 10-unit segment
Answer: 277 ways
Step-by-step explanation:
Let’s start bycreating 10-unit pieces using the 4-unit piece.
The arrangements are:
1). 4-3-3 (3 permutations)
2). 4-3-2-1 = 4! = 24 permutations.
3). 4-3-1-1-1 (5*[4!/(3!1!)]
= 5*4
= 20permutations
4). 4-2-2-2 (4 permutations)
5). 4-2-2-1-1 (5 *[4!/(2!2!)]
= 5*6
= 30 permutations
6). 4-2-1-1-1-1(6*[5!/(4!1!)]
= 6*5
= 30 permutations
Let’s-consider the arrangements using one or more3-unit pieces and no 4-unit piece:
7). 3-3-2-2 (4!/(2!2!)
8). 3-3-2-1-1 (5*(4!/(2!2!)
= 5*6
= 30 permutations.
9). 3-3-1-1-1-1 (6!/(4!2!) = 0
10). 3-2-2-2-1 (5*4!/(3!1!)
= 5*4
= 20permutations
11). 3-2-2-1-1-1 (6*5!/(3!2!)
= 6*10
= 60 permutations
Finally we would look at the arrangements using only 1-and 2-unit pieces:
12). 2-2-2-1-1-1-1 (7!/(4!3!)
= 35 permutations
add them all up:
(3 + 24 + 20 + 4) + (30 + 30 + 6 + 30) + (15 + 20 + 60 + 35)
=51 + 96 + 130
= 277ways
Match each table with the equation that represents the same proportional relationship.
Step-by-step explanation:
can't answer this without a picture of the graphs and equations
please help
What is the minimum of the sinusoidal function?
Enter your answer in the box.
Answer:
The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.
Answer:
-4
Step-by-step explanation:
took the test
it is a set of points on given plane which is equidistant from a fixed point called the center
Answer: circle
Step-by-step explanation:
The set of points on a given plane which is equidistant from a fixed point that is called the center simply describes a circle.
We should note that the straight line that goes through the centre of a circle is referred to as the diameter while half of the diameter is the radius which is drawn from the center of the circle.
Find the volume of each composite figure to the nearest whole number.
The volume of the composite figure in this problem is given as follows:
76 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.Hence the volume is given as follows:
2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.
A similar problem about the volume of rectangular prisms is presented at brainly.com/question/22070273
#SPJ1
HELP !! Look at the photo please
PLS help i need this done asap
Answer:
Yellow - E - F = 0
Step-by-step explanation:
E - F = -2
0 - 2 = -2
Answer:
i think its yellow, hope it helped
Step-by-step explanation:
all i did was looked at the letter and then the numbers and did the subtraction
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
a stack of 4 books weigh 5.2 pounds if each book weighs the same amount then how much does each book weigh
Answer:
1.3 pounds
Step-by-step explanation:
A graph with a negative slope has an R2 of 0.25. Find the coefficient correlation and choose the best description of therelationship between variables in this graph.A)strong Inverse relationship between the variablesB)moderate negative relationship between the variablesC)weak positive relationship between the variableD)strong positive relationship between the variables
We have the value of R squared:
\(R^2=0.25\)The value of the coefficient of correlation is represented by R, which can be calculated as the square root of R squared:
\(R=\sqrt[]{R^2}=\sqrt[]{0.25}=0.5\)This coefficient of correlation indicates how stong is the relationship.
For example 0.9 is strong and 0.1 is a weak relationship.
In this case, since the value of R is in the middle R=0.5, we can say that the variables have a moderate relationship.
Also, we are told that the graph has a negative slope, and a negative slope indicates a negative relationship between the variables.
Thus the answert is: B)moderate negative relationship between the variables
8 old rings for every 1 new ring - 16 old rings for every 2 new rings is proportional or not proportional
Answer:
Proportional
Step-by-step explanation:
If you simplify 8/16 down as a fraction it would be 1/2 which is the same as 1/2 for the other one. You can also times the new rings by 8 which equals the old rings.
Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour. For how many hours would Ali have to rent the bounce house from Company B before it becomes less expensive to rent from Company A? Explain.
Answer:
I am on the same question with u with my hw
Step-by-step explanation:
I need to answer for points
Which fractions are equal to −9/36?
Answer:
1/4
Step-by-step explanation:
Answer:
-1/4, -3/12
Step-by-step explanation:
:)
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
there are 8 balls numbered 1 through 8 placed in a bucket. what is the probability of reaching into the bucket and randomly drawing three balls numbered 5,8 and 4 without replacement, in that order? express your answer as a fraction
there are 8 balls numbered 1 through 8 placed in a bucket. what is the probability of reaching into the bucket and randomly drawing three balls numbered 5,8 and 4 without replacement, in that order? express your answer as a fraction
Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
the expression 6(5+7 can be written as a sum of two numbers type those two numbers
The forces by which God has caused the earth and the universe to operate are called _______________ laws.
natural
unnatural
scientific
supernatural
Answer:
The forces by which God has caused the earth and the universe to operate are called supernatural laws.
Answer:
no idea
Step-by-step explanation: