I have been stuck on this problem in my software design class and I hate going in these places and looking stupid but my professor had a family emergency and my homework is due tomorrow night.
Design a program in pseudocode that calculates the amount of money a person would earn over a period of time if their salary is one penny the first day, and then doubles each day. The program should ask the user for the number of days. Display what the salary was for each day, and then show the total pay for the end of the period. The output should be displayed in dollar amount, not number of pennies.
I cant get it for the life of me
This is a geometric progression where the value of the daily salary is multiplied by a constant, namely 2 in this case.
T(n)=2n
The first day is day 0.
Σi=0 to n-1 (2i)
=2n - 1
So the first day is 1 cent. (20=1)
The second day's salary is 2 cents.(21=2)
The third day's salary is 4 cents.(22=4)
....
The nth day's salary is 2n-1
and the sum up to the nth day is
2n -1.
Do not forget to divide by 100 to convert cents to dollars.
Be very careful with the variable that you use to store the values.
If you use integer using VB2008 or Java, you will have up to 231, or 31 days.
If you use long integers, you will have up to 63 days' worth of salary.
In VB2008, you can have up to 80 (I think) bits using type Decimal, so up to 80 days' salary.
However, using Java's BigInteger and BigDecimal class, the number of digits of accuracy is immaterial. I have made programmes that run with 15000 accurate decimal digits.
Generally C-compilers accomodate less precision.
If your teacher does not require accuracy to the last digit, you can always use Double Precision with most of the common languages to get about 15 digits of accuracy, with (almost) no problem of overflow.
Don't worry, I'm here to help! Let's break down the problem and design a program in pseudocode to solve it step by step.
Pseudocode is a simple and informal way to represent the logic of a program using plain English. It helps us structure our thoughts and plan the program's flow before actually implementing it in a specific programming language.
Here's how you can approach the problem:
1. Start by asking the user for the number of days:
- Print a message asking the user to enter the number of days.
- Read the input and store it in a variable like `numOfDays`.
2. Calculate the salary for each day:
- Set the initial salary `salary` to 0.01 (representing one penny).
- Create a loop that runs `numOfDays` times.
- Inside the loop:
- Print the day number and the current salary.
- Update `salary` by doubling its value (multiply by 2).
- After the loop, the final value of `salary` will be the cumulative amount earned.
3. Convert the total salary into a dollar amount:
- Divide the final `salary` amount by 100 to convert pennies into dollars.
- Store the result in a variable like `totalPay`.
4. Display the results:
- Print a message showing the salary for each day and the total pay.
Here's an example pseudocode implementation based on the steps above:
```
Print "Enter the number of days: "
Read numOfDays
Set salary = 0.01
Set totalPay = 0
For i = 1 to numOfDays
Print "Day ", i, " Salary: $", salary
totalPay = totalPay + salary
salary = salary * 2
End For
Set totalPay = totalPay / 100
Print "Total Pay: $", totalPay
```
This pseudocode should help you understand the logical flow needed to calculate the salary and total pay over a period of time. Now, you can use this pseudocode as a guide to implement the program in a specific programming language of your choice.
Remember to test the program with different input values to ensure it is functioning correctly. Good luck with your assignment!