If you would like to know what is the machine's value after 5 years, you can calculate this using the following steps:
1 year: $500,000 - 10% * $500,000 = 500,000 - 10/100 * 500,000 = $500,000 - $50,000 = $450,000
2 years: $450,000 - 10% * $450,000 = 450,000 - 10/100 * 450,000 = $450,000 - $45,000 = $405,000
3 years: $405,000 - 10% * $405,000 = 405,000 - 10/100 * 405,000 = $405,000 - $40,500 = $364,500
4 years: $364,500 - 10% * $364,500 = 364,500 - 10/100 * 364,500 = $364,500 - $36,450 = $328,050
5 years: $328,050 - 10% * $328,050 = 328,050 - 10/100 * 328,050 = $328,050 - $32,805 = $295,245
The correct result would be $295,000.
Answer:



Step-by-step explanation:
<u>Verify each statement</u>
case A) 
The statement is True
we know that
The measure of angle A is equal to the angle marked
by corresponding angles
case B) ∠B and the angle marked
are alternate exterior angles
The statement is False
Because, ∠B and the angle marked
are corresponding angles
case C)
because it is a vertical angle to the angle marked 
The statement is True
we know that
------> by vertical angles
case D) ∠B and ∠C are supplementary angles
The statement is False
we know that
---> the sum is less than
case E) 
The statement is True
we know that

and remember that

so
substitute

x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%