Answer:
The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:
Step-by-step explanation:
Given formula:
where 
represents temperature in Fahrenheit and 
represents temperature in Celsius.
To solve the equation for .
Solution:
We have,
Subtracting both sides by 32.
Dividing both side by 1.8
∴
Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.
Answer:
<em>There is no affirmative formula, but this is the basics</em>
Step-by-step explanation:
<em>DDM Formula=</em>
Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)
Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.
The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.
The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.
The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: <em>Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.</em>
Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.
Answer:
7. 
8. l=11cm and w=7 cm
9. 
10. 
Step-by-step explanation:
Question 7.
The given expression is:
Expand the parenthesis using the distributive property:
Group similar terms:
Simplify
Divide both sides by -10
Question 8:
Let the width of the rectangle be; 
The length of the rectangle is 
The perimeter is given as: 
Given that the perimeter P=36, then:
![36=2[(w+4)+w)]](https://tex.z-dn.net/?f=36%3D2%5B%28w%2B4%29%2Bw%29%5D)
Divide both sides by 2:
Subtract 4 from both sides:
The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as 
"5 fewer than a number is at least 12" becomes
Question 10:
Let the number be x.
The quotient of a number and 3 is written as:
The quotient of a number and 3 is no more than 15 is written as;
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
If you would have to graph x=7, you probably know that this is a vertical line at, well, x=7.
| x | = 7 is nothing more than two vertical lines, namely x=7 or x=-7, as you already wrote down.
| x | = -8 has no (real) solutions, so there is nothing to graph.
