Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
Chapter 10.1, Problem 1PE
(a)
To determine
To fill: The correct blank provided in the statement, ‘if b2=a, then ___ is a square root of ___’.
(b)
To determine
To fill: The correct blank provided in the statement, ‘given a>0, the symbol a denotes the positive or ____ square root of a’.
(c)
To determine
To fill: The correct blank provided in the statement, ‘b is an nth root of a if ___=___’.
(d)
To determine
To fill: The correct blank provided in the statement, ‘given the symbol an, the value n is called the ___ and a is called the ___’.
(e)
To determine
To fill: The correct blank provided in the statement, ‘the symbol a3 denotes the ___ root of a’.
(f)
To determine
Whether the expression −4 is/is not a real number. Whether the expression −4 is/is not a real number.
(g)
To determine
Whether the expression ann=|a| is odd/even. Whether the expression ann=a is odd/even.
(h)
To determine
To fill: The correct blank provided in the statement, ‘given a right triangle with legs a and b and hypotenuse c, the ____ theorem is stated as a2+b2= ___’.
(i)
To determine
To fill: The correct blank provided in the statement, ‘in interval notation, the domain of f(x)=x is ___, whereas the domain of g(x)=x3 is ___ ’.
(j)
To determine
The values x=−5,x=−4,x=−3,x=−2,x=−1,x=0 are not in the domain of h(x)=x+3.
Nicole organized a new corporation. The corporation began business on April 1 of year 1. She made the following
expenditures associated with getting the corporation started:
Expense
Date
Amount
Attorney fees for articles of incorporation
February 10 $ 40,500
March 1-March 30 wages
March 30
6,550
March 1-March 30 rent
Stock issuance costs
March 30
2,850
April 1-May 30 wages
Note: Leave no answer blank. Enter zero if applicable.
April 1
May 30
24,000
16,375
c. What amount can the corporation deduct as amortization expense for the organizational expenditures and for the start-up costs for
year 1 [not including the amount determined in part (b)]?
Note: Round intermediate calculations to 2 decimal places and final answer to the nearest whole dollar amount.
Start-up costs amortized
Organizational expenditures amortized
Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the
deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1
through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of
($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows:
(1) Tons of
Coal
18,950
Depletion
(2) Basis (2)(1) Rate
$2,918,300 $154.00
Tons Extracted per Year
Year 1
4,500
Year 2
8,850
Year 3
6,600
Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars.
a. What is LCM's cost depletion for years 1, 2, and 3?
Cost Depletion
Year 1
Year 2
Year 3
Consider the following equation.
log1/9'
=6
Find the value of x.
Round your answer to the nearest thousandth.
x =
✓
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