All programming languages have strict rules known as syntax. All programmers must follow them when writing a program. If the programmer writes code that violates these rules, a syntax error will result and the program cannot be compiled or executed. When this happens, the programmer has to locate the error and correct it$.$

For this reason, programmers find it helpful to write their programs in pseudocode $($pronounced $$sue doe code$)$ before they write a program in the actual code of a programming language. The word pseudo means fake, so pseudocode is fake code. It is an informal language that has no syntax rules and is not meant to be compiled or executed. Instead, programmers use pseudocode to create models or $$mockups$$ of programs $($program design$).$ Once a satisfactory design has been created with pseudocode, the pseudocode can be translated directly to actual code.

Here is an example of how you might write pseudocode for a pay calculating program:

Display $$Enter the number of hours the employee worked.$$

Input hours

Display $$Enter the employee$$s hourly pay rate.$$

Input payRate

Set grossPay $=$ hours $*$ payRate

Display $$The employee$$s gross pay is $$,$ grossPay

Each statement in the pseudocode represents an operation that can be performed in any high$-$level language.

Pseudocode Assignment

Converting a Math Formula to Programming Statement

Suppose you want to deposit a certain amount of money into a savings account and then leave it alone to draw interest for the next $10$ years. At the end of $10$ years you like to have $$10,000\mathrm{.}00$ in the account. How much do you need to deposit today to make that happen? You can use the following formula to find out:

P$=$F$/(1+$r$)$n

The terms in the formula are as follows:

P is the present value, or the amount that you need to deposit today

F is the future value that you want in the account $($F$=$$$10,000\mathrm{.}00)$

r is the annual interest rate

n is the number of years that you plan to let the money sit in the account

It would be nice to write a computer program to perform the calculation, because we can experiment with different values for the terms. Here is an algorithm we can use:

Get the desired future rate?

Get the annual rate?

Get the number of years the money will sit in the account

Calculate the amount of money that will need to deposit

Display the result of the calculation from Step $4$

In Step $1$ through $3,$ we will prompt the user to enter the specified values. We will store the desired value in a variable named futureValue, the annual interest rate variable named rate, and the number of years in a variable named years.

In Step $4,$ we calculate the present value, which is the amount of money that we will have to deposit. We will convert the previously shown in the following pseudocode statement. This statement stores the result of the calculation in the presentValue variable.

presentValue $=$ futureValue $/(1+$ rate$)^$ years

In Step $5,$ we display the value in the presentValue variable.

Assignment Instructions:

Write the pseudocode for this program below. You should have an approximately of $8$ lines of code.

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