Answer:
She was there for 3 hours.
Step-by-step explanation:
7.25-5= 2.25
2.25÷0.75=3
The return on equity for the firm is 18.75%.
<h3>Return on equity</h3>
Return on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]
Let plug in the formula
Return on equity=.15+ [(.75)× (.15-.10)]
Return on assets=.15+ (.75×0.05)
Return on assets=.15+0.0375
Return on equity=0.1875×100
Return on equity=18.75%
Therefore the return on equity ratio is 18.75%.
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Answer: 5
Step-by-step explanation: To find the (GCF) or greatest common factor of 15 and 20, begin by finding all of the factors of 3.
Since 15 ÷ 1 is 15, this means that 1 and 15 are factors.
Since 15 ÷ 3 gives us 5, this means that 3 and 5 are factors.
Also, 15 ÷ 5 and 15 ÷ 15 would be factors, but we don't list repeat factors.
Next, we find all of the factors of 20.
Since 20 ÷ 1 is 20, we know that 20 and 1 are factors.
Since 20 ÷ 2 is 10, we know that 10 and 2 are factors.
Since 20 ÷ 4 is 5, we know that 5 and 4 are factors.
Now we look for the largest factor that is shared by the two lists which is 5.
Therefore, the greatest common factor of 15 and 20 is 5.
Answer:
12x is a term, 2, 20, and 16 is a constant
Step-by-step explanation:
The answer to the Diophantine equation (x³+y³+z³=k) is given below. First lets us see the definition of the same.
<h3>What is a
Diophantine equation?</h3>
A Diophantine equation in mathematics is a polynomial equation with two or more unknowns, where the only solutions of interest are integer ones.
A linear Diophantine equation is equal to the sum of two or more monomials of degree one.
Unknowns can emerge in exponents in an exponential Diophantine equation.
<h3>
What is the solution to the above problem?</h3>
Recall that this problem is called the "summing of three cubes." Thus, from the values given, the minimum value of K can be 1.
To arrive at that, we can do
x = 0, y = 0, z = 1
so 0³+0³+1³; hence
k = 1
and maximum value of k can be 99
with that we work with x=2,y=3, z=4
2³+3³+4³=99
Hence, so x can be 0, or 2
y can be 0 or 3; and
z can be 1 or 4.
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