What is 90 divided by 5 in distributive property

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?

Arlecino [84]

Answer:

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function? The value of x can be:

A.) Any real number

B.) Any real number except 5

C.) Any real number except 5 and -2

The value of y can be:

A.) Any real number

B.) Any real number except -2

C.) Any real number except 5 and -2

7 0

3 years ago

Rachel is a financial investor who actively buys and sells in the securities market. Now she has a portfolio of all blue chips,

Arturiano [62]

Answer:

(a) 41300 (b) 8.10 % (c) 3.41% (at real rates)

Step-by-step explanation:

Solution

Given:

(a) The Weights of assets in Rachel's portfolio: = amount in each stock/ sum of amounts invested in all stocks

Share Amount Weights

A 13500 0.33

B 7600 0.18

C 14700 0.36

D 5500 0.13

THE TOTAL: 41300

(b) The Geometric average return of a portfolio = ((1+R1)*(1+R2)*(1+R3)....*(1+Rn))^(1/n) - 1

Now,

R1= return of period 1 Rn= return in nth period

Thus,

The Geometric average return of Rachel's portfolio= ((1+9.7%)*(1+12.4%)*(1-5.5%)*(1+17.2%))^(1/4) - 1

= 8.10 % (approx) per year.

(c) Using nominal rate of return (including inflation):

The CAPM: Required return= Risk free return + (Risk premium * Beta)

13.6 = Rf + (4.8*1.5)

So,

Rf= 6.4% (not inflation adjusted)

The inflation adjusted rate of return: ((1+return)/(1+inflation rate))-1

= ((1+13.6%)/(1+2.7%))-1 = 10.61%

Using CAPM: 10.61= Rf + (4.8*1.5)

Therefore, Rf= 3.41% (at real rates)

8 0

3 years ago

A market researcher for Eric’s Electronics wants to study TV viewing habits of residents in Chicago. The individuals in the surv

Elena L [17]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

1) x = 17.5

σ = 5

n = 50

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, confidence level of 90% is 1.645

Margin of error = 1.645 × 5/√50 = 1.16

Confidence interval = 17.5 ± 1.16

3 0

3 years ago

a sequence has a first number of 3 and a half common difference of 4 what is the recursive rule of nth term

ELEN [110]

Answer:

$f(n) = f(n-1) + 8$ for $n > 1$

Step-by-step explanation:

Given

$f(1) = 3$ -- First Term

$\frac{1}{2}d = 4$ --- half common difference

Required

Find the recursive rule

First, we calculate the common difference

$\frac{1}{2}d = 4$

Multiply through by 2

$2 * \frac{1}{2}d = 2 * 4$

$d = 8$

The second term of the sequence is:

$f(2) = 3 + 8 = 11$

The third term is:

$f(3) = 11 + 8 = 20$

So, we have:

$f(1) = 3$

$f(2) = 3 + 8$

Substitute f(1) for 3

$f(2) = f(1) + 8$

Express 1 as 2 - 1

$f(2) = f(2-1) + 8$

Substitute n for 2

$f(n) = f(n-1) + 8$

Similarly:

$f(3) = 11 + 8$

Substitute f(2) for 11

$f(3) = f(2) + 8$

Express 2 as 3 - 1

$f(3) = f(3-1) + 8$

Substitute n for 3

$f(n) = f(n-1) + 8$

Hence, the recursive is:

$f(n) = f(n-1) + 8$ for $n > 1$

8 0

3 years ago

In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of

JulsSmile [24]

Answer:

⅙

Step-by-step explanation:

Get the LCM of the three numbers to get the ml of the total juice.

You take the LCM and divide it by the 25ml of the apple juice.

6 0

2 years ago