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Vikentia [17]
3 years ago
15

In business, the formula for debt ratio is Debt Ratio = Total Liabilities/Total Assets. A bakery has total assets of $465 millio

n. Its total liabilities are $130 million. Calculate the debt ratio in simplest form.
Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

We will solve this problem in terms of millions.


The bakery's total assets is 465 million. The total liabilties are 130 million. Plug these values into the debt ratio equation:


\frac{\text{Total liabilities}}{\text{Total assets}}


\frac{130}{465}


We can simplify this fraction by dividing both the numerator and denominator by 5:


\frac{130}{465} \div \frac{5}{5} = \boxed{\frac{26}{93}}


We cannot simplify this fraction any further, as the only common factor between 26 and 93 is 1.


If you want the debt ratio as a percentage, then divide the numerator by the denominator:


26 \div 93 = 0.2796


Multiply the decimal by 100 to convert into a percentage:


0.2796 \times 100 = \boxed{27.96}


The debt ratio is 26/93, or 27.96%.

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Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

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3 years ago
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Answer:

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Step-by-step explanation:

50% is one half

so 9.7 is half of ....

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