Answer:
Step-by-step explanation:
To calculate the company's debt ratio, we need to know its total liabilities and total assets. We can use the total assets turnover ratio to calculate the company's total assets:
Total assets turnover = Sales / Total Assets
1.04 = R6,500,000 / Total Assets
Total Assets = R6,500,000 / 1.04 = R6,250,000
Since the company is financed entirely with debt and common equity, its total liabilities are equal to its total debt. We can use the return on equity (ROE) formula to calculate the company's total equity:
ROE = Net Income / Total Equity
0.14 = R217,000 / Total Equity
Total Equity = R217,000 / 0.14 = R1,550,000
Now, we can calculate the company's debt ratio:
Debt Ratio = Total Debt / Total Assets
Debt Ratio = (Total Assets - Total Equity) / Total Assets
Debt Ratio = (R6,250,000 - R1,550,000) / R6,250,000
Debt Ratio = R4,700,000 / R6,250,000
Debt Ratio = 0.752 or 75.2%
Therefore, the company's debt ratio is 75.2%.
component of optimi
1. Jaden wanted to begin a career in marketing. He had his heart set on a marketing program at a
private university. However, the private university did not admit Jaden to the school. After finding
out he was not accepted, Jaden chose to apply to a nearby state school that also had a highly rated
marketing program. Jaden is now a marketing manager.
Answer:
you need to learn yo stuff
Step-by-step explanation:
bye
I need help solving this
The correct answer is sixteen (16).
A bag has 2 blue cubes, 3 red cubes, and 5 green cubes. If you draw a cube and replace it in the bag 100 times, which of the following amounts would you expect to pull? Select all that apply. A) Pull more than 2 times as many green cubes as blue cubes B) Pull a green cube 50 times C) Pull a blue cube 20 times D) Pull more red cubes than green cubes E) Pull a blue cube 70 times
Pull a green cube 50 times; Pull a blue cube 70 times. The possible options are B and E.
Describe Probability?Probability refers to the likelihood or chance of an event occurring, expressed as a number between 0 and 1.
A probability of 0 indicates that an event is impossible, while a probability of 1 indicates that an event is certain to occur. For example, the probability of rolling a 7 on a fair six-sided die is 0, while the probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6.
Probabilities can also be expressed as percentages, with a probability of 0.5 (or 50%) indicating an even chance of an event occurring.
A) Pull more than 2 times as many green cubes as blue cubes:
Since there are only 2 blue cubes in the bag and 5 green cubes, it is highly unlikely that you would pull more than 2 times as many green cubes as blue cubes in 100 draws. Therefore, this option is unlikely.
B) Pull a green cube 50 times:
There are 5 green cubes in the bag, so it is possible to pull a green cube 50 times in 100 draws. Therefore, this option is possible.
C) Pull a blue cube 20 times:
There are only 2 blue cubes in the bag, so it is unlikely that you would pull a blue cube 20 times in 100 draws. Therefore, this option is unlikely.
D) Pull more red cubes than green cubes:
There are 3 red cubes and 5 green cubes in the bag, so it is possible to pull more red cubes than green cubes in 100 draws. Therefore, this option is possible.
E) Pull a blue cube 70 times:
Since there are only 2 blue cubes in the bag and you are drawing with replacement, it is highly unlikely that you would pull a blue cube 70 times in 100 draws. Therefore, this option is unlikely.
Therefore, options B and D are possible.
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Use mental math to assess reasonableness. Explain your thinking
Cameron spends $130 on a gaming system and $80 on video games. He
says he spends about $215. Is his statement reasonable? Explain your
thinking.
To assess the reasonableness of Cameron's statement that he spent about $215 on a gaming system and video games, we can use mental math to estimate the total cost.
We know that he spent $130 on a gaming system and $80 on video games. If we round $80 up to $100 and add it to $130, we get:
$130 + $100 = $230
So based on this estimate, it seems like Cameron's statement of spending about $215 is not entirely accurate. However, it is close to the actual total cost, which is within 10% of the estimated total.
Therefore, we can say that while Cameron's statement may not be entirely precise, it is reasonably close to the actual total cost and can be considered reasonable.
A hiker hikes at a steady rate throughout the day on a mountain. Which student wrotr a correct equation to represent the linear relationship shown on the table between X, the number of hours hiked and y, the current altitude of the climber?
There is no table provided to reference, but the equation that represents a linear relationship between X and Y is:
y = mx + b
where m is the slope of the line and b is the y-intercept. The equation can also be written as:
y = b + mx
where b is the y-intercept and m is the slope. The equation represents a straight line on a graph, where the slope determines the steepness of the line, and the y-intercept is the point where the line crosses the y-axis. To write the equation for the table of X and Y values, we need to determine the slope and y-intercept from the given data.
Find the mean of the data set. 3, 22, 0, 15, 9, 23
Answer:
12
Step-by-step explanation:
Mean = 3+22+0+15+9+23=72
72÷6 =12
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
Answer:
40 5/8
Step-by-step explanation:
6 1/2 × 2 1/2
13/2 × 5/2= 65/4
65/4 × 2 1/2
65/4 × 5/2 = 325/8
325/8= 40 5/8
Answer:
40 5/8
Step-by-step explanation:
6 1/2 × 2 1/2
13/2 × 5/2= 65/4
65/4 × 2 1/2
65/4 × 5/2 = 325/8
325/8= 40 5/8
Anyone Want to Give me 6th Grade Inequalities?
Reward- Brainliest and 10 Tokens
Answer:
3x + 4 < 13
2y - 5 > 7
6n - 1 ≤ 23
8m + 2 ≥ 18
4a - 7 < 5a + 2
9b + 3 > 6b + 10
Step-by-step explanation:
I dunno if this is what you're asking for
Answer:
ok.....
x + 2 < 5
|x - 4| > 4
x + 7 [tex]\geq[/tex] 8
-x < -5
x - 5 < 9
5x + 18 > 2
|3x - 1| < 8
Natasha worked for part of the year before receiving a raise in her hourly rate of pay. The graph below shows the amount of money she has made this year and the hours she has worked since she received the raise. What was the initial amount of money Natasha made?
Answer:
Unfortunately, I cannot see the graph you are referring to since we are communicating through text. However, based on the information given, we can make some general observations.
We know that Natasha received a raise in her hourly rate of pay at some point during the year. Before the raise, she earned some initial hourly rate of pay. Let's call this initial rate of pay "x". Let's also assume that she worked for "h" hours before receiving the raise, and "k" hours after receiving the raise.
We can write an equation to represent the total amount of money she made this year:
Total amount of money = (initial hourly rate of pay x number of hours worked at the initial rate) + (new hourly rate of pay x number of hours worked at the new rate)
Using the variables we defined earlier, we can write:
Total amount of money = (x × h) + ((x + y) × k)
where y is the increase in her hourly rate of pay after the raise.
We also know that she earned a certain amount of money before the raise. Let's call this amount "M". This means that:
M = x × h
Solving for x, we get:
x = M/h
Substituting this expression for x into the first equation, we get:
Total amount of money = (M + yh) + ((M/h + y) × k)
We don't know the values of M, y, h, or k, so we cannot determine the initial hourly rate of pay x or the total amount of money Natasha made this year. However, we have set up an equation that can be used to solve for these values if we have more information.
the great zlatan ibrahimović always scores a goal if he manages to take no less than six shots in a game (and sometimes he scores even without shooting). the following is a probability distribution of the number of shots zlatan ibrahimović must make to score a goal:
No. of shots Probability of scoring
0 0.02
1 0.13
2 0.34
3 0.32
4 0.16
5 0.02
6 0.01
(A). Calculate the expected ( mean) number of shots he takes to score a goal ?
(B). Calculate the standard deviation of the distribution.
a) The expected (mean) number of shots that Zlatan Ibrahimović must make to score a goal is 3.11.
b) The standard deviation of the distribution is 2.46.
How are the expected number and standard deviation computed?The expected number or mean (μ) of a distribution is computed as sum resulting from the multiplication of each value of the random variable by its probability and adding the products.
The formula for the mean is given as E(x) = ∑x P(x).
On the other hand, to compute the standard deviation (σ) of a probability distribution, we find each deviation from its expected value, square it, multiply it by its probability, add the products, and take the square root.
No. of shots Probability Expected Squared Squared Deviation
of scoring No. of shots Deviation x Probability
0 0.02 0 9.6721 0.193442
1 0.13 0.13 8.8804 1.154452
2 0.34 0.68 5.9049 2.007666
3 0.32 0.96 4.6225 1.4792
4 0.16 0.64 6.1009 0.976144
5 0.02 0.1 9.0601 0.181202
6 0.01 0.6 6.3001 0.063001
The expected (mean)
number of shots = 3.11 6.055107
Standard Deviation = Square root of 6.055107 = 2.46
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What is the lowest common multiple of 8 and 12?
Answer:
2 hope that helps
Step-by-step explanation:
Jeremy sees a jacket that he wants that is on sale for $44.95. The original price was
$68.49. Estimate how much Jeremy can save by buying the jacket on sale. (1pt)
Answer:
$25
Step-by-step explanation:
You round 44.95 to 45 and 68.49 to 70. 70 - 45 = 25.
the unit rate for this relationship is 1 gallon per 18.25 minutes
The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.
What is unit rate?
A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.
So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:
(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons
Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be approximately 6.58 gallons.
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The complete question is :
What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?
Roselli's Machine Manufacturing Co reported its sales as R120 000, a gross profit of R50 000, and current liabilities of R25 000. If the current ratio is 2,5 and the quick ratio is 1,75, what is the inventory turnover for the company?
Answer:
Step-by-step explanation:
To find the inventory turnover for Roselli's Machine Manufacturing Co, we need to use the formula:
Inventory turnover = Cost of goods sold / Average inventory
First, we need to find the cost of goods sold (COGS):
COGS = Sales - Gross profit
COGS = R120 000 - R50 000
COGS = R70 000
Next, we need to find the average inventory. We can use the quick ratio formula to find the current assets:
Quick ratio = (Current assets - Inventory) / Current liabilities
Rearranging the formula to solve for inventory, we get:
Inventory = Current assets - (Quick ratio x Current liabilities)
Plugging in the values we know, we get:
1.75 = (Current assets - Inventory) / R25 000
Current assets - Inventory = 1.75 x R25 000
Current assets - Inventory = R43 750
Inventory = Current assets - R43 750
Since the current ratio is 2.5, we know that:
Current assets / Current liabilities = 2.5
Solving for current assets, we get:
Current assets = 2.5 x R25 000
Current assets = R62 500
Substituting the values we found for inventory and COGS into the inventory turnover formula, we get:
Inventory turnover = COGS / Average inventory
Inventory turnover = R70 000 / [(R62 500 - R43 750) / 2]
Inventory turnover = R70 000 / (R18 750 / 2)
Inventory turnover = R70 000 / R9 375
Inventory turnover = 7.47
Therefore, the inventory turnover for Roselli's Machine Manufacturing Co is 7.47.
9. The price of a Delta Air Lines ticket from New York to Orlando increased to $450. This is an 8% increase. What was the old fare to nearest cent?
Answer:
$416.66
Step-by-step explanation:
We take
450 divided by 108, then time 100 = $416.66
So, the old fare is $416.66
Marissa ate 4 hot dogs every 16 hours. At that rate, how many would she eat in 12 hours?
Answer: 3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
16/4=unit rate =4
1 in 4 hour
3 for 12 hours
The circumference of a circle is 81.64 miles. What is the circle's radius?
Use 3.14 for л.
The radius of the circle with given circumference is 13.
What is circumference?
In mathematics, the circumference of any shape determines the path or boundary that surrounds it. In other words, the perimeter, also referred to as the circumference, helps determine how lengthy the outline of a shape is.
We are given that the circumference of a circle is 81.64 miles.
We know that circumference of a circle is given by 2πr.
So, using this we get
⇒ C = 2πr
⇒ 81.64 = 2 * 3.14 * r
⇒ 81.64 = 6.28 * r
⇒ r = 13
Hence, the radius of the circle with given circumference is 13.
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In a right triangle, sin (9x - 4)° = cos (10x - 1)°. Find the larger of the triangle's
two acute angles.
The larger angle of the right triangle is 139 degrees.
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 degrees. The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
The three sides of the right triangle are related to each other. This relationship is explained by Pythagoras theorem
In a right triangle, one of the angles is 90 degrees. Let x be the measure of the other acute angle. Then we have:
sin x = cos (90° - x)
We can use this identity to rewrite the given equation as:
sin (9x - 4)° = sin (90° - (10x - 1)°)
Using the identity sin (90° - θ) = cos θ, we can simplify this equation to:
sin (9x - 4)° = cos (10x - 1)°
sin (9x - 4)° = sin ((90°) - (10x - 1)°)
sin (9x - 4)° = sin (10x - 91)°
Since sin θ = sin (180° - θ), we have:
9x - 4 = 180° - (10x - 91)°
9x - 4 = 271° - 10x
Simplifying and solving for x, we get:
19x = 275
x = 275/19
Now, the larger angle of the right triangle is either 9x - 4 or 10x - 1, depending on which is larger. We can calculate both angles and compare them:
9x - 4 = 9(275/19) - 4 = 121°
10x - 1 = 10(275/19) - 1 = 139°
Therefore, the larger angle of the right triangle is 139 degrees.
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State the principle of mathematical induction
The principle of mathematical induction is a method of proof used in mathematics to prove that a statement is true for all natural numbers.
It is based on the idea that if the statement is true for one number, then it can be used to prove that it is true for the next number. Mathematical induction can be expressed mathematically as follows:
Let P(n) be a statement involving an integer n
Base Case: P(m) is true for some m
Induction Hypothesis: Assume P(k) is true for some k>m.
Induction Step: Show that P(k+1) is true.
Therefore, P(n) is true for all n>m
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im sorry for asking this i forgot to add this
A turtle and a snail are 300 feet apart when they start moving toward
each other. The turtle walks 5 feet per minute, and the snail crawls 1
foot per minute.
(How fast are the turtle and snail approaching each other?)
A car salesman was able to sell a car for 12,500, earning a commission of 5%. How much was his commission.
Answer:
12,500 is 100%, or 1 in decimal terms. We calculate 5% by multiplying 12500 by 0.05.
This gives us a total of £625
Step-by-step explanation:
Brainliest pls
Which decimal is equivalent to
4/15
Please!
Answer:
0.266666
Step-by-step explanation:
1) Use the algorithm method.
0 . 2 6 6 6 6 6
____________________________
15 | 4 .
3 . 0
__________
1 . 0 0
9 0
_________
1 0 0
90
___________
1 0 0
9 0
___________
1 0 0
9 0
______
1 0 0
9 0
___
10
2) therefore, 4/15 ≈0.266666.
0.266666
The bookstore has 27 chapter books, 9 comic books, and 30 picture books. The shop sold
one-third of the books. How many books were sold?
Answer:
22
Step-by-step explanation:
first you would add all books from the book store to get 66
Then you would divide that by 3 to get
66÷3=22
What is the measure of
Answer:
∠w = 50°
∠y = 130°
Step-by-step explanation:
Angles ∠w and ∠y are supplementary angles, which means their sum is 180.
4x + 6 + 12x - 2 = 180
Add like terms16x + 4 = 180
Subtract 4 from both sides16x = 176
Divide both sides by 16x = 11
To find the angle measures replace x with 11
∠w = 4x + 6
∠w = 4*11 + 6
∠w = 50°
Now, ∠y
∠y = 12x - 2
∠y = 12*11 - 2
∠y = 130°
Consider the table shown at left . What is the value of g( f ( -1) )
Answer:
4
Step-by-step explanation:
f(-1) = 2
g(2)= 4
Simplificacion de 18/25
Answer:
Step-by-step explanation:
Ici, nous allons réduire la fraction 18/25 aux termes les plus bas et la convertir en un nombre fractionnaire, si nécessaire.
Dans la fraction 18/25, 18 est le numérateur et 25 est le dénominateur.
On commence par trouver le plus grand diviseur commun de 18 et 25, qui est 1. Ensuite, on divise 18 et 25 par le plus grand diviseur commun pour obtenir la plus petite expression, écrite comme suit :
(18 ÷ 1) / (25 ÷ 1)
= 18/25
Find value of X and then Y. Not drawn to scale
Answer:
x=66 and y=63
Step-by-step explanation:
The middle triangle is isosceles
57+57+x=180
114+x=180
x=66
Left triangle is equilateral (all angles =60)
60+57+?=180
117+?=180
?=63
Right triangle is isosceles
?=y
y=63
20 POINTS ANSWER FOR BRAINLIST
Multiply. Final answer needs to be in Standard
Form. Two different methods need to be shown.
You can choose between Area Model, Distributive
Property and FOIL.
(3x − 4)(2x − 1)
Answer:
Method 1: Distributive Property
To multiply (3x - 4) and (2x - 1), we can use the distributive property:
(3x - 4)(2x - 1) = 3x(2x) + 3x(-1) - 4(2x) - 4(-1)
= 6x^2 - 3x - 8x + 4
= 6x^2 - 11x + 4
Therefore, the final answer in standard form is 6x^2 - 11x + 4.
Method 2: FOIL
To multiply (3x - 4) and (2x - 1), we can use the FOIL method:
(3x - 4)(2x - 1) = 3x(2x) + 3x(-1) - 4(2x) - 4(-1)
= 6x^2 - 3x - 8x + 4
= 6x^2 - 11x + 4
Therefore, the final answer in standard form is 6x^2 - 11x + 4.
( 1 5/2),(-1/2,-1/4) slope
Answer:
[tex]\text{Slope} \; m = \dfrac{11}{6}[/tex]
Step-by-step explanation:
[tex]m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x}[/tex]
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \dfrac{-1/4 - 5/2}{-1/2 - 1}[/tex]
[tex]m = \dfrac{\dfrac{-11}{4}}{\dfrac{-3}{2}}[/tex]
[tex]m = \dfrac{-11}{4} \times \dfrac{2}{-3}[/tex]
[tex]m = \dfrac{-22}{-12}[/tex]
[tex]m = \dfrac{11}{6}[/tex]
Solve the following linear programming problem. Maximize: z = 7x + 2y subject to: 7x-y≤ 16 2x+y≥ 10 X≥2 y≤9 The maximum value is
Answer:
To solve the linear programming problem, we need to first graph the feasible region determined by the constraints, and then evaluate the objective function at each corner point of the feasible region to find the maximum value of z.
Plotting the lines corresponding to the inequalities, we get:
Graph of the feasible region:
The feasible region is the shaded polygon in the graph. We can see that the vertices of the feasible region are (2, 9), (2, 12), (4, 7), and (8, 2).
Next, we evaluate the objective function at each of these vertices to find the maximum value of z.
At (2, 9): z = 7x + 2y = 7(2) + 2(9) = 23
At (2, 12): z = 7x + 2y = 7(2) + 2(12) = 31
At (4, 7): z = 7x + 2y = 7(4) + 2(7) = 35
At (8, 2): z = 7x + 2y = 7(8) + 2(2) = 58
Therefore, the maximum value of z is 58, which occurs at the point (8, 2).
Hence, the answer is: the maximum value of z is 58.