Simplify each expression with fractional coefficents. 5/6×

The XYZ company is seeing its value declining at a rate of 3.2% per year. If the current value is $2,300,000, what will the valu

slega [8]

Given that its value decreases by r = -3.2% (i.e decreasing means that the rate is negative) and that the current value of the company is P = 2,300,000.

The value of the company in n = 5 years is given by

$FV=P(1+r)^n \\ \\ =2,300,000(1-0.032)^5 \\ \\ =2,300,000(0.968)^5=2,300,000(0.8499) \\ \\ =\$1,954,810.81$

4 0

3 years ago

Magan bought an electric bill at 85% of the regular price she paid $32.89 for the drill what was the regular price

Natasha2012 [34]

Answer:

$38.69

Step-by-step explanation:

To find the regular price, create a proportion.

$\frac{32.89}{x}=\frac{85}{100}$

To solve for the regular price x, cross multiply the numerator and denominator of each fraction.

32.89*(100) = x(85)

3289=85x

38.69 = x

4 0

3 years ago

(Based on Q1 ~ Q3) According to the Bureau of the Census, 18.1% of the U.S. population lives in the Northeast, 21.9% inn the Mid

vekshin1

Answer:

We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

Step-by-step explanation:

The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution

Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution

The populations considered are the Midwest, South, Northeast, and west.

The number of categories, k = 4

Number of recent calls = 200

Let the number of estimated parameters that must be estimated, m = 0

The degree of freedom is given by the formula:

df = k - 1-m

df = 4 -1 - 0 = 3

Let the significance level be, α = 5% = 0.05

For α = 0.05, and df = 3,

from the chi square distribution table, the critical value = 7.815

Observed and expected frequencies of calls for each of the region:

Northeast

Observed frequency = 39

It contains 18.1% of the US Population

The probability = 0.181

Expected frequency of call = 0.181 * 200 = 36.2

Midwest

Observed frequency = 55

It contains 21.9% of the US Population

The probability = 0.219

Expected frequency of call = 0.219 * 200 =43.8

South

Observed frequency = 60

It contains 36.7% of the US Population

The probability = 0.367

Expected frequency of call = 0.367 * 200 = 73.4

West

Observed frequency = 46

It contains 23.3% of the US Population

The probability = 0.233

Expected frequency of call = 0.233 * 200 = 46

$x^{2} = \sum \frac{(O_{i} - E_{i}) ^{2} }{E_{i} } , i = 1, 2,.........k$

Where $O_{i} =$ observed frequency

$E_{i} =$ Expected frequency

Calculate the test statistic value, x²

$x^{2} = \frac{(39 - 36.2)^{2} }{36.2} + \frac{(55 - 43.8)^{2} }{43.8} + \frac{(60 - 73.4)^{2} }{73.4} + \frac{(46 - 46.6)^{2} }{46.6}$

$x^{2} = 5.535$

Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

7 0

2 years ago

What property describe the number sentence 6 plus 0 equal 6

nata0808 [166]

The identity property of addition states that any number plus zero equals the original number. So, 6 + 0 = 6 shows the identity property of addition. Other number sentences that show this property would include: 8 + 0 = 8, 153 + 0 = 153, and 1,899,888 + 0 = 1,899,888. In each case, the original number plus 0 equals the original number. It doesn't matter how large or small the original number is.

8 0

3 years ago

What is the equation of this graphed line ?

yanalaym [24]

Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).

7 0

2 years ago

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Simplify each expression with fractional coefficents. 5/6× - 1/6×