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3 years ago

Maureen bought 200 shares of BETA Corp. for 12 1/2 per share. What was

1 answer:

34kurt3 years ago

4 0

The purchase price of the stock includes the commission paid to the stockbroker. You have to multiply the cost per stock of the stock to the number of shares purchased by Maureen to get the purchase price. You have to multiply the purchase price with the percentage of commission to get the commission. You add the purchase price and the commission to get the total purchase price of the stock.

200 shares x $12.5 per share = $2,500

$2,500 x 1% commission = $25

Total purchase price = $2,525

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Number of Text Messages a Day A random sample of n = 755 US cell phone users age 18 and older in May 2011 found that the average

Alexeev081 [22]

Answer:

The 95% confidence interval is (29.54 - 53.46}

Step-by-step explanation:

given data:

$\hat X = 41.5$

Se = 6.1

n = 755

a) best estimate $\hat x = 41.5$

b) at 95% confidence interval

$\alpha = 1- 0.95 = 0.05$

$\alpha /2 = 0.025$

$z_{\alpha/2} = z_{0.025} = 1.96$

at 95% confidence interval for [/tex]\mu[/tex]

$\hat x \pm z_{\alpha /2} \times Se$

$41.5 \pm 1.96\times 6.1$

$41.5 \pm 11.96$

The 95% confidence interval is (29.54 - 53.46}

7 0

3 years ago

Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

balu736 [363]

Given:

The function is

$f(x)=\left(\dfrac{1}{3}\right)^x$

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

$f(x)=\left(\dfrac{1}{3}\right)^x$

At x=-2,

$f(-2)=\left(\dfrac{1}{3}\right)^{-2}$

$a=\left(3\right)^{2}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$a=9$

At x=-1,

$f(-1)=\left(\dfrac{1}{3}\right)^{-1}$

$b=\left(3\right)^{1}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$b=3$

At x=0,

$f(0)=\left(\dfrac{1}{3}\right)^{0}$

$c=1$ $\left[\because a^0=1, a\neq 0\right]$

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0

2 years ago

Read 2 more answers

What is the prime factorization of the number 25

Len [333]

$25|5 \\ 5 \ |5 \\ 1 \\\\ 25=5^2$

7 0

3 years ago

Read 2 more answers

Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]

zlopas [31]

We take the function as a sequence

Term 1 ⇒ 5
Term 2 ⇒ 4
Term 3 ⇒ 3.2

Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 = $\frac{4}{5}$
Term 3 / Term 2 = $\frac{3.2}{4}$ = $\frac{4}{5}$

When a sequence has a common ratio between term, the sequence is a Geometric Sequence

$n_{th}term=ar^{n-1}$
Where $a$ is the first term, $r$ is the common ratio, and $n$ is the term number

We have: $a=5$ and $r= \frac{4}{5}$
The formula for the function is

$f(x)=5( \frac{4}{5})^{x-1}$

4 0

3 years ago

the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form

Alexeev081 [22]

Answer:

4/5

Step-by-step explanation:

Given,

Area of the triangle = 1/4 square meters

From the diagram,

Height = 2/5 m

To find : Length of the base

Formula : -

A = bh/2

Here,

A denotes Area

b denotes Base

h denotes Height

A = 1/4

h = 2/5

A = bh/2

Cross multiply,

A * 2 = bh

2A = bh

2 * (1/4) = b * (2/5)

(1 * 2)/4 = (b * 2)/5

2/4 = 2b/5

1/2 = 2b/5

Cross multiply,

1 * 5 = 2 * 2b

5 = 4b

b = 4/5 meters

Hence,

The length of the base is 4/5 meters.

5 0

2 years ago