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%.
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
Graph the line y-3=-1/3(x+2)
Slope: 1/2
y-intercept(s): (0, 7/3)
x: 0, 7
y: 7/3, 0
Step-by-step explanation:
y=-3 -1/3(1+2)=2/3.3=1.3=3
y=3
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
The price of a necklace was increased by 10% to £121. What was the price before the increase.
Answer:
£110
Step-by-step explanation:
Adding 10% to something is the same thing as multiplying by 1.1 (1.1 is the decimal form of 110%). This has already happened so we divide by 1.1 instead.
121 / 1.1 = 110
Answer:
110
Step-by-step explanation:
10% of 110 = 11
110 + 11 = 121 :)
How many pairs of skis in stock does the shop have to have to make the probability in question 4 less than .01? Round your answer to a whole number
mean=150
Standard Deviation=20
Answer:
159 hwqb Step-by-step explanation:2n3wq,brudj32nwqrdb3wndj32wsd
How many liters of 70% alcohol solution and 30% alcohol solution must be mixed to obtain 8 liters of 60% alcohol solution?
a. Complete the table below with the expressions needed to solve this problem. Then solve it in part b.
70% solution 30% solution Final solution
Number of Liters x y
Liters of Alcohol
b. You need
liters of 70% solution and
liters of 30% solution.
A punter kicked a 41 yard punt. The pth of the football can be modeled by y=-0.035x2 + 1.4x + 1 where x is the distance in yards the football id kicked and y id the height in yards the football kicked
This means that the football’s height when it was kicked 41 yards away was -1.762 yards.
What is yard?A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.
The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.
In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.
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Help would be appreciated
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)In the diagram below of rhombus ABCD, AD congruent AC. Which of the following is the measure of angle BDC?
Answer:
m<BDC = 30°
Step-by-step explanation:
In a rhombus, each diagonal bisects a pair of opposite angles.
That makes angles ADB and BDC congruent.
Segments AD and AC are congruent, so in triangle ADC, angles ADC and ACD are congruent. Angle ADC is made up of congruent angles ADB and BDC, so m<BDC = (1/2)m<ACD.
In a rhombus, the diagonals are perpendicular. That makes triangle DEC a right triangle with right angle DEC. Then, angles BDC and ACD are complementary.
m<BDC + m<ACD = 90
(1/2)m<ACD + m<ACD = 90
(3/2)m<ACD = 90
m<ACD = 60
m<BDC = (1/2) m<ACD = 60/2 = 30
m<BDC = 30°
hi can you please help me with my work
If 128x is a perfect square number what is the least value of x
Please answer the question fast
Answer:
in a square all sides are equal so x has to equal
128
Hope This Helps!!!
Please help ASAP
Fill in the missing amounts.
Answer:
Left:
10$
Right:
165$
Step-by-step explanation:
The cumulative balance is how much there is total between the months. If they make 10$ profit in July, that carries over into the cumulative balance in August. So on and so forth.
the figure below is dilated by a factor of 4 centered at the orgin. plot the resulting image
(where are the points pls im so confused)
The image that results from the dilation transformation is as shown in the attached file with coordinates as:
G'(0, -8)
H'(8, 0)
I'(-8, 4)
What is the coordinate of the triangle after dilation?A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.
The coordinates of the given triangle are:
G(0, -2)
H(2, 0)
I(-2, 1)
Now, when an object with coordinates is dilated by a factor about the origin, what we will do is to multiply each coordinate by that factor . The factor of dilation is 4 and as such we have:
G(0, -2) * 4 = G'(0, -8)
H(2, 0) * 4 = H'(8, 0)
I(-2, 1) * 4 = I'(-8, 4)
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Write the next three terms: 27,32,37,42,
Answer:
47,52,56
Step-by-step explanation:
you are adding 5
?????????????????????
Answer:60
Step-by-step explanation:
Find the value of 9u-9 given that 2u-5=3 plsss help
Answer:
27
Step-by-step explanation:
\(2u-5=3\\2u=8\\u=4\\\\9u-9=9(4)-9=36-9=27\)
Evaluate 5|7 - 9| - 2.
-12
0
1
8
\(\longrightarrow{\green{ D. \:8 }}\)
\(\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}\)
\(5 \: |7 - 9| - 2\)
\( = 5 \: | - 2| - 2\)
\( = 5 \times 2 - 2\)
\( = 1 0- 2\)
\( = 8\)
\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)
Jessica has a four-sided die, a six-sided die, and a 12-sided die. She rolls the three dice once. Let Z be the number of fours showing. Find E[Z] using the indicator method.
Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:
\(E(X)=\sum x\cdot P(X= x)\)
Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:
\(I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.\)
The probability of rolling a 4 in the three dices are as follows:
\(P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}\)
Compute the value of E [Z] as follows:
\(E(Z)=E(I_{1})+E(I_{2})+E(I_{3})\)
\(=(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50\)
Thus, the value of E [Z] is 0.50.
Jason buys 2 baseball bats for $300. What is the unit rate per bat
Answer:
150
Step-by-step explanation:
150 x 2 = 300 no?
1. Find the area of the composite figure below. Make sure you show your work neatly for full
credit.
(3.5)
18 in.
18 in.
9 in.
36 in.
18 in.
The calculated area of the composite figure is 85 cm².
How to calculate the the area of the composite figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure (see attachment)
Where, we have
Rectangle:
Area = length × width.
Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².
Triangle:
Area = (1/2) × base × height.
Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².
To find the total area of the composite figure, we add the areas of the rectangle and the triangle:
Total Area = Area of Rectangle + Area of Triangle
= 60 cm² + 25 cm²
= 85 cm².
Therefore, the area of the composite figure is 85 cm².
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Determine a possible 3rd degree polynomial function in factored form with its only zeros at (4,0) and (-1,0) and (-7,0)
19. Describe the graph of a proportional relationship.
The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.
What is a straight line graph?A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.
There are some characteristics that shows that a graph is of proportional relationship which include the following:
The graph always starts from zeroThe graph must be a straight line graphLearn more about graph here:
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Despejar la variable
The equations solved for the variables T₁ and P₁ are:
T₁ = (P₁*V₁)*[T₂/(P₂*V₂)] P₁ = (T₁/V₁)*(P₂*V₂)/T₂How to isolate the variables?We start with the equation:
(P₁*V₁)/T₁ = (P₂*V₂)/T₂
And we want to solve this for T₁, we can multiply both sides by T₁ and divide both sides by the expression in the right side.
(P₁*V₁) = T₁*[ (P₂*V₂)/T₂]
(P₁*V₁)*[T₂/(P₂*V₂)] = T₁
That is the equation solved for T₁.
34: Now we have the same equation but we want to solve it for P₁, to do so, just multiply both sides by T₁/V₁
We will get:
(T₁/V₁)*(P₁*V₁)/T₁= (T₁/V₁)*(P₂*V₂)/T₂
P₁ = (T₁/V₁)*(P₂*V₂)/T₂
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what is the area of a rectangle in sqare inches
Answer:
Step-by-step explanation:
To find the area of a rectangle in square inches simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation was $5000. How many of these homes have a value greater than $83,500.
Round to a whole number.
I got 62 it says that is wrong answer.
Answer:
400
Step-by-step explanation:
it says average which probably means 400
33.36% of these homes have a value greater than $83,500.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
\(z=\frac{x-\mu}{\sigma} \\\\where\ x \ is\ raw\ score,\mu=mean,\sigma=standard\ deviation\)
Given that μ = $82000, σ = $5000.
For x > 83500:
\(z=\frac{83500-82000}{5000} =0.43\)
From the normal distribution table, P(x > 83500) = P(z > 0.43) = 1 - P(z < 0.43) = 1 - 0.6664 = 33.36%
33.36% of these homes have a value greater than $83,500.
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which of the following is the turning point of the function y=(x-8)^2-2
The turning point is at (8, -2)
Which is the turning point of the function?For a quadratic equation, the turning point is what we call the vertex.
If we know that a quadratic eqquation has a vertex (h,k) and a leading coefficient a, it can be written as:
y = a*(x - h)² + k
Here we have the quadratic equation:
y=(x-8)²-2
We can see that here we have:
h = 8
k = -2
Thus, the vertex is (8, -2), and that is the turning point.
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Please look at photo!!!
In
0
Select the correct
Ufunction
that represents
this data.
Ooo T 00 x
Out
-3
-2
-1
-4
-5
[?]
-4
-8
A. f(x) = (x/4) - 3
B. f(x) = 4x - 3
C. f(x) = (x/4) + 3
Answer:
A
Step-by-step explanation:
You can find the y intercept by inputting 0 for x. This means the y intercept is -3 so it is not c.
To find slope you do (y-y)/(x-x)
Pick 2 points
(-2-(-1))/(4-8)
(-2+1)/-4
-1/-4
1/4
x/4
Complete parts (a) through (d).a. Graph the function f(x)=1981+4e−2x for x=0 to x=10. b. Find f(0) and f(10).c. Is this function increasing or decreasing?d. What is the limiting value of this function?
ANSWER:
a.
b.
\(\begin{gathered} f\mleft(0\mright)=\frac{198}{1+4e^{-2\cdot0}}=\frac{198}{1+4}=\frac{198}{5}=39.6 \\ f(10)=\frac{198}{1+4e^{-2\cdot10}}=197.99\cong198 \end{gathered}\)c. increasing
d. 198
STEP-BY-STEP EXPLANATION:
We have the following function:
\(f\mleft(x\mright)=\frac{198}{1+4e^{-2x}}\)a.
From the function we can see that the factor with e (euler) when x increases will become smaller, therefore the values of the function will increase, the only graph that meets these characteristics is the following:
b.
We must calculate when x = 0 and when x = 10, like this:
\(\begin{gathered} f\mleft(0\mright)=\frac{198}{1+4e^{-2\cdot0}}=\frac{198}{1+4}=\frac{198}{5}=39.6 \\ f(10)=\frac{198}{1+4e^{-2\cdot10}}=197.99\cong198 \end{gathered}\)c.
The function is increasing since as the values of x increase, the values of y increase
d.
The limiting value for f (x) is 198, since the function will never be able to reach this value because there is a horizontal asymptote at that point
Which graph represents a function?
Answer:
C
Step-by-step explanation:
In D, the x value repeats
Answer:
C
Step-by-step explanation:
C has a positive then negative slope, while D can't even be a function.
I hope this helps :)