Answer:
V = 785 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables.</em>
<em>r</em> = 5 cm
<em>h</em> = 10 cm
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(5 cm)²(10 cm)
- [Order of Operations] Evaluate: V = 785 cm³
Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
Answer:
126.5
Step-by-step explanation:
Given :The monthly rent for each unit is $925
To Find : What is the GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925?
Solution:
Annual Gross Rents = $925
Property Value = $234,000
For answer to be 126.5 , $925 must be semiannual rent
So, annual rent = 925*2
Formula : Property Value = Annual Gross Rents X Gross Rent Multiplier (GRM)
Substitute the values :
Hence The GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925 is 126.5
So, Option D is true .
If Carlo’s last billing cycle ended on March 28,
2010, and he made his payment on April 13, 2010, he didn’t owe any interest on
his last statement's balance because he paid within the grace period.
<span>I hope this helps and if
you have any further questions, please don’t hesitate to ask again.</span>
Given:
Two points that are close to the line of best fit are (2,70) and (4.5, 90).
To find:
Th equation of best fit line using the given two points.
Solution:
We know that, if a line passes through the two points, then the equation of line is
Two points (2,70) and (4.5, 90) are close to the best fit line.
Consider the two points (2,70) and (4.5, 90). So, the equation of line is
Adding 70 on both sides, we get
Therefore, the equation of best fit line is .
