<span>There are 1 billion 9 digit numbers (000,000,000 through 999,999,999). There are 45 different combinations of two different numerals (10 x 9 divided by 2). There are 512 (2 to the 9th power) different permutations for any two numbers to be used in a 9 digit number</span>
Answer:
NPV = $13,676.33
Step-by-step explanation:
First, find the present value of the cash inflows. You can solve this question using a Financial calculator;
14,000 per year is a recurring cashflow hence the PMT
PMT = 14,000
I/Y = 10%
N= 9
FV =0
then CPT PV = 80,626.33
NPV = -Initial investment + PV of future cash inflows
NPV = -66,950 + 80,626.33
NPV = $13,676.33
"NPV" button, then , then "CPT".
The answer to the NPV = $13,676.33
Consider the right triangle HBF. The Pythagorean theorem tells you ...
HF² = HB² + BF²
The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
HB = 2
BF = 5
Using these values in the equation above, we get
HF² = 2² + 5²
HF² = 4 + 25 = 29
Taking the square root gives the length HF.
HF = √29
Step-by-step explanation:
step 1. pythagorean theorem is a^2 + b^2 = c^2 where a, b are the legs and c is the hypotenuse
step 2. 4^2 + 5^2 = c^2
Answer:
m<PTR = 140°
Step-by-step explanation:
First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
m<PTQ = m<RTS (vertical opposite angles are congruent)
Therefore:
x + 28 = 2x + 16
Solve for x. Combine like terms
28 - 16 = 2x - x
12 = x
x = 12
Find m<PTQ
m<PTQ = (x + 28)
plug in the value of x
m<PTQ = 12 + 28 = 40°
m<PTR + m<PTQ = 180° (supplementary angles)
m<PTR + 40° = 180° (substitution)
m<PTR = 180 - 40 (subtracting 40 from each side)
m<PTR = 140°