Starting Out with Python (4th Edition)
4th Edition
ISBN: 9780134444321
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 2, Problem 14PE
Compound Interest
When a bank account pays compound interest, it pays interest not only on the principal amount that was deposited into the account, but also on the interest that has accumulated over time. Suppose you want to deposit some money into a savings account, and let the account earn compound interest for a certain number of years. The formula for calculating the balance of the account after a specified number of years is:
The terms in the formula are:
A is the amount of money in the account after the specified number of years.
P is the principal amount that was originally deposited into the account.
r is the annual interest rate.
n is the number of times per year that the interest is compounded
t is the specified number of years.
Write a
▪ The amount of principal originally deposited into the account
▪ The annual interest rate paid by the account
▪ The number of times per year that the interest is compounded (For example, if interest is compounded monthly, enter 12. If interest is compounded quarterly, enter 4.)
▪ The number of years the account will be left to earn interest
Once the input data has been entered the program should calculate and display the amount of money that will be in the account after the specified number of years.
Note:
The user should enter the interest rate as a percentage. For example. 2 percent would be entered as 2, not as .02. The program will then have to divide the input by 100 to move the decimal point to the correct position.
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Suppose you want to deposit a certain amount of money into a savings account with a fixed annual interest rate. We are interested in calculating the amount needed to deposit in order to have, for instance, $5000 in the account after three years. The initial deposit amount can be obtained using the following formula:
Interest Rates Savings accounts state an interest rate and a compounding period. If theamount deposited is P, the stated interest rate is r, and interest is compounded m timesper year, then the balance in the account after one year is P⋅(1+rm)m. For instance, if$1000 is deposited at 3% interest compounded quarterly (that is, 4 times per year), thenthe balance after one year is1000⋅(1+.034)4=1000⋅1.00754=$1,030.34.Interest rates with different compounding periods cannot be compared directly.The concept of APY (annual percentage yield) must be used to make the comparison. TheAPY for a stated interest rate r compounded m times per year is defined byAPY=(1+rm)m−1.(The APY is the simple interest rate that yields the same amount of interest after oneyear as the compounded annual rate of interest.) Write a program to compare interestrates offered by two different banks and determine the most favorable interest rate. SeeFig. 4.24.
Brute force equation solver
this is python program.
Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10.
Ex: If the input is:
8 7 38 3 -5 -1
Then the output is:
3 2
Use this brute force approach:
For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish.
Ex: If no solution is found, output:
No solution
You can assume the two equations have no more than one solution.
Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy.
''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input())
''' Read in…
Chapter 2 Solutions
Starting Out with Python (4th Edition)
Ch. 2.1 - Who is a programmers customer?Ch. 2.1 - What is a software requirement?Ch. 2.1 - What is an algorithm?Ch. 2.1 - What is pseudocode?Ch. 2.1 - Prob. 5CPCh. 2.1 - Prob. 6CPCh. 2.3 - Write a statement that displays your name.Ch. 2.3 - Write a statement that displays the following...Ch. 2.3 - Write a statement that displays the following...Ch. 2.5 - Prob. 10CP
Ch. 2.5 - Which of the following are illegal variable names...Ch. 2.5 - Prob. 12CPCh. 2.5 - Is the following assignment statement valid or...Ch. 2.5 - Prob. 14CPCh. 2.5 - Look at the following assignment statements:...Ch. 2.5 - What will be displayed by the following program?...Ch. 2.6 - You need the user of a program to enter a...Ch. 2.6 - Prob. 18CPCh. 2.7 - Prob. 19CPCh. 2.7 - Prob. 20CPCh. 2.7 - Prob. 21CPCh. 2.8 - How do you suppress the print functions ending...Ch. 2.8 - How can you change the character that is...Ch. 2.8 - Prob. 24CPCh. 2.8 - Prob. 25CPCh. 2.8 - What does the statement print (format (65.4321,...Ch. 2.8 - What does the statement print (format (987654.129,...Ch. 2.9 - What are three advantages of using named...Ch. 2.9 - Write a Python statement that defines a named...Ch. 2.10 - Prob. 30CPCh. 2.10 - Prob. 31CPCh. 2.10 - Prob. 32CPCh. 2.10 - Prob. 33CPCh. 2.10 - Prob. 34CPCh. 2.10 - Prob. 35CPCh. 2.10 - Prob. 36CPCh. 2.10 - Prob. 37CPCh. 2.10 - Prob. 38CPCh. 2.10 - Prob. 39CPCh. 2.10 - Prob. 40CPCh. 2.10 - Prob. 41CPCh. 2.10 - Prob. 42CPCh. 2.10 - Prob. 43CPCh. 2.10 - Prob. 44CPCh. 2.10 - Prob. 45CPCh. 2 - A ______ error does not prevent the program from...Ch. 2 - Prob. 2MCCh. 2 - A(n) __________ is a set of well-defined logical...Ch. 2 - An Informal language that has no syntax rules and...Ch. 2 - A _______ is a diagram that graphically depicts...Ch. 2 - A ______ is a sequence of characters. a. char...Ch. 2 - Prob. 7MCCh. 2 - Prob. 8MCCh. 2 - A string literal in Python must be enclosed in...Ch. 2 - Prob. 10MCCh. 2 - A(n) __________ makes a variable reference a value...Ch. 2 - This symbol marks the beginning of a comment in...Ch. 2 - Which of the following statements will cause an...Ch. 2 - In the expression 12 + 7, the values on the right...Ch. 2 - This operator performs integer division. a. // b....Ch. 2 - This is an operator that raises a number to a...Ch. 2 - This operator performs division, but instead of...Ch. 2 - Prob. 18MCCh. 2 - Which built-in function can be used to read input...Ch. 2 - Prob. 20MCCh. 2 - A magic number is _______. a. a number that is...Ch. 2 - A _______ is a name that represents a value that...Ch. 2 - Programmers must be careful not to make syntax...Ch. 2 - In a math expression, multiplication and division...Ch. 2 - Variable names can have spaces in them.Ch. 2 - In Python, the first character of a variable name...Ch. 2 - If you print a variable that has not been assigned...Ch. 2 - What does a professional programmer usually do...Ch. 2 - What is pseudocode?Ch. 2 - Computer programs typically perform what three...Ch. 2 - If a math expression adds a float to an int, what...Ch. 2 - What is the difference between floating-point...Ch. 2 - What is a magic number? Why are magic numbers...Ch. 2 - Assume a program uses the named constant PI to...Ch. 2 - Write Python code that prompts the user to enter...Ch. 2 - Write Python code that prompts the user to enter...Ch. 2 - Write assignment statements that perform the...Ch. 2 - Assume the variables result, w, x, y, and z are...Ch. 2 - Write a Python statement that assigns the sum of...Ch. 2 - Write a Python statement that subtracts the...Ch. 2 - Write a Python statement that multiplies the...Ch. 2 - Prob. 8AWCh. 2 - What would the following display? num = 99 num = 5...Ch. 2 - Assume the variable sales references a float...Ch. 2 - Assume the following statement has been executed:...Ch. 2 - What will the following statement display?...Ch. 2 - Write a turtle graphics statement that draws a...Ch. 2 - Write the turtle graphics statements to draw a...Ch. 2 - Write the turtle graphics statements to draw a...Ch. 2 - Personal Information Write a program that displays...Ch. 2 - Sales Prediction A company has determined that its...Ch. 2 - Land Calculation One acre of land is equivalent to...Ch. 2 - Total Purchase A customer in a store is purchasing...Ch. 2 - Distance Traveled Assuming there are no accidents...Ch. 2 - Sales Tax Write a program that will ask the user...Ch. 2 - Miles-per-Gallon A car's miles-per-gallon (MPG)...Ch. 2 - Tip, Tax, and Total Write a program that...Ch. 2 - Celsius to Fahrenheit Temperature Converter Write...Ch. 2 - Ingredient Adjuster A cookie recipe calls for the...Ch. 2 - Male and Female Percentages Write a program that...Ch. 2 - Stock Transaction Program Last month, Joe...Ch. 2 - Planting Grapevines A vineyard owner is planting...Ch. 2 - Compound Interest When a bank account pays...Ch. 2 - Turtle Graphics Drawings Use the turtle graphics...
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