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LenKa [72]
3 years ago
10

What is −13+2z=−56 Thanks

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0
<h3>Original Equation:</h3>

-\frac{1}{3}+2z=-\frac{5}{6}

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}

Now that we have common denominators, add both sides by 2/6:

2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

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3 years ago
Amanda's parents had a birthday dinner for her at Sushi Yama restaurant. The bill came to $74 before the tip. They left an 18% t
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Answer:

<h2>$87.32</h2>

Step-by-step explanation:

Step one:

given data

we are told that the initial bill is $74

thereafter they gave a tip worth 18% of the bill

let us compute what 18% of $74 will amount to

Step two:

=18/100*74

=0.18*74

=$13.32

The added expenses is $13.32

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=$87.32

3 0
3 years ago
If 12 +22+ 32 +
kakasveta [241]

Answer:

m2

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2 years ago
A portfolio has a E[r] of 12% and a std deviation of 18%. T-Bills return 7%. What is the maximum level of risk aversion (A) for
solniwko [45]
<h2>The required "option D) 3.09" is correct.</h2>

Step-by-step explanation:

Given,

A portfolio has a E[r] = 12 %, and

A standard deviation (\sigma) = 18 %

We know that,

Specify utility by U = E(r) – 0.5A\sigma^2

U = 0.12– 0.5(A) × 0.18^2

= 0.12 - 0.5  ×  A × 0.0162

In order for the risky portfolio to be preferred to bills,

The following condition must have:

0.12 – 0.0162A > 0.07

⇒ A < \dfrac{0.05}{0.0162} = 3.09

A must be less than 3.09 for the risky portfolio to be preferred to bills.

Thus, the required "option D) 3.09" is correct.

8 0
3 years ago
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