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First, notice that the bool variable someCondition is initialized to false Next, examine each if statement As the comments indicate, in the first if statement, i is incremented despite the fact that someCondition is false When the & is used, as it is in the first if statement, the expression on the right side of the & is evaluated no matter what value the expression on the left has However, in the second if statement, the short-circuit operator is used In this case, the variable i is not incremented because the left operand, someCondition, is false, which causes the expression on the right to be skipped The lesson here is that if your code expects the right-hand operand of an AND or OR operation to be evaluated, then you must use C# s non-short-circuit forms for these operations One other point: The short-circuit AND is also known as the conditional AND, and the short-circuit OR is also called the conditional OR

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The assignment operator is the single equal sign, = The assignment operator works in C# much as it does in other computer languages It has this general form: var-name = expression; Here, the type of var-name must be compatible with the type of expression

Part I:

p/100

The assignment operator does have one interesting attribute that you may not be familiar with: It allows you to create a chain of assignments For example, consider this fragment:

This fragment sets the variables x, y, and z to 100 using a single statement This works because the = is an operator that yields the assigned value Thus, the value of z = 100 is 100, which is then assigned to y, which in turn is assigned to x Using a chain of assignment is an easy way to set a group of variables to a common value

C# provides special compound assignment operators that simplify the coding of certain assignment statements Let s begin with an example The assignment statement shown here:

It is useful to know the behavior of the account if the number of times the interest is compounded per year becomes arbitrarily large (this is called continuous compounding of interest) Continuous compounding corresponds to calculating the limit of the last formula as k (or, equivalently, n), tends to infinity We know from the discussion in Subsection 623 that the expression (1 + 1/k)k tends to e Therefore, the size of the account after one year of continuous compounding of interest is P e p/100 After t years of continuous compounding of interest the total money is P e pt/100 ( )

x = x + 10;

x += 10;

The operator pair += tells the compiler to assign to x the value of x plus 10 Here is another example The statement

format It was sort of chronological in that I used my calendar to help me remember what I did, but it was a mishmash On the third of the month, for example, I might have reviewed the closing nancials of the month before That would tickle my memory that I worked on next year s capital budget during the last week of the month, and so I d digress about that The activity report was disorganized and hard to follow Once I started using the category organizational structure, the entire process became more manageable As a nancial analyst, my work is pretty routine So I was able to set categories and then simply update the report each month It saved me hours of work And the report was easier to read and more focused

x = x - 100;

If $6000 is placed in a savings account with 5% annual interest compounded continuously, then how large is the account after four and one half years

x -= 100;

Both statements assign to x the value of x minus 100 There are compound assignment operators for many of the binary operators (that is, those that require two operands) The general form of the shorthand is var-name op = expression; Thus, the arithmetic and logical assignment operators are