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11111nata11111 [884]
3 years ago
5

Pls help. Will mark brainliest

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

see below (I hope this helps!)

Step-by-step explanation:

p² = 4x² * (q(1 + r² / y²) / S)

p²S = 4x² * q(1 + r² / y²)

p²S / 4x²q = 1 + (r² / y²)

p²S / 4x²q - 1 = r² / y²

y² = r² / (p²S / 4x²q - 1)

y = √( r² / (p²S / 4x²q - 1) = √(r²4x²q / (p²S - 4x²q))

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The average of four numbers is 98. If three of the numbers are 86,87,and 91 what is the fourth number?
timurjin [86]
To find the average, you have to add all the numbers up and then divide by the amount of numbers you added together.

Equation: (86+87+91+x)/4=98
Solve for x:
86+87+91+x=98*4
264+x=392
x=392-264
x=128

The fourth number is 128
7 0
3 years ago
To solve the equation w/8 - 4 = 20, you would first add 4 to each side and then divide each side by 8.
bearhunter [10]
False because, you DO add 4 to the sides but you would multiply the 8 because you to the opposite to cancel it out

4 0
3 years ago
Read 2 more answers
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

6 0
3 years ago
A number is randomly picked from this list: 10, 20, 30, 40, 50. what is the probability of picking an even number
ivanzaharov [21]
Hey there! :)

There are 5 numbers.

Even numbers end with 2, 4, 6, 8, or 0

All of the numbers end in 0

That means all the numbers are even

Your answer is: 5/5 = 1

Hope this helps :)
7 0
3 years ago
For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hou
Strike441 [17]

Answer:

Z = 1

Step-by-step explanation:

Z - score

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 61, \sigma = 4

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{65 - 61}{4}

Z = 1

4 0
3 years ago
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