Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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Chapter 3, Problem 6PP
The Fibonacci numbers F are defined as follows. F is 1, F is 1, and
| Fi+2 = Fi + Fi+1 |
i = 0, 1, 2, … . In other words, each number is the sum of the previous two numbers. The first few Fibonacci numbers are 1, 1, 2, 3, 5, and 8. One place that these numbers occur is as certain population growth rates. If a population has no deaths, then the series shows the size of the population after each time period. It takes an organism two time periods to mature to reproducing age, and then the organism reproduces once every time period. The formula applies most straightforwardly to asexual reproduction at a rate of one offspring per time period.
Assume that the green crud population grows at this rate and has a time period of 5 days. Hence, if a green crud population starts out as 10 pounds of crud, then in 5 days there is still 10 pounds of crud; in 10 days there is 20 pounds of crud, in 15 days 30 pounds, in 20 days 50 pounds, and so forth. Write a
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When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is
E(k) =
P((1 + r)k − 1)
(1 + r)t − 1
dollars.
In this exercise, assume that the mortgage amount is $200,000, the APR is 6%
so r = .06/12
and the term of the loan is 30 years (360 months).
(a)
Find a formula for the equity.
(b)
Make a graph of the equity over 360 months, the term of the loan.
(c)
Does the graph show that you have half-ownership in the home halfway through the term of the mortgage?
Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…
When you borrow money to buy a house, a car, or for some other purposes, then you typically repay it by making periodic payments. Suppose that the loan amount is L, r is the interest rate per year, m is the number of payments in a year, and the loan is for t years. Suppose that i = (r / m) and r is in decimal. Then the periodic payment is:
You can also calculate the unpaid loan balance after making certain payments. For example, the unpaid balance after making k payments is:
where R is the periodic payment. (Note that if the payments are monthly, then m = 12.)
Instructions
Write a program that prompts the user to input the values of L, r, m, t, and k. The program then outputs the appropriate values. Your program must contain at least two functions, with appropriate parameters, to calculate the periodic payments and the unpaid balance after certain payments. Make the program menu driven and use a loop so that the user can repeat the program for different values.
Example of…
A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are:
The year must be divisible by 4
If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400
Some example leap years are 1600, 1712, and 2016.
Write a program that takes in a year and determines whether that year is a leap year.
Ex: If the input is 1712, the output is:
1712 is a leap year.
Ex: If the input is 1913, the output is:
1913 is not a leap year.
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Put("{} is a leap year.".format(i_year))
print("{} is not a leap year.".format(i_year))
inputYear = Get next input
What would be the code?
Chapter 3 Solutions
Problem Solving with C++ (9th Edition)
Ch. 3.1 - Determine the value, true or false, of each of the...Ch. 3.1 - Name two kinds of statements in C++ that alter the...Ch. 3.1 - In college algebra we see numeric intervals given...Ch. 3.1 - Prob. 4STECh. 3.2 - What output will be produced by the following...Ch. 3.2 - What output will be produced by the following...Ch. 3.2 - What would be the output in Self-Test Exercise 6...Ch. 3.2 - What would be the output in Self-Test Exercise 6...Ch. 3.2 - What output will be produced by the following...Ch. 3.2 - What would be the output in Self-Test Exercise 9...
Ch. 3.2 - What output will be produced by the following...Ch. 3.2 - Write a multiway if-else statement that classifies...Ch. 3.2 - Given the following declaration and output...Ch. 3.2 - Given the following declaration and output...Ch. 3.2 - What output will be produced by the following...Ch. 3.2 - What would be the output in Self-Test Exercise 15...Ch. 3.2 - What would be the output in Self-Test Exercise 15...Ch. 3.2 - What would be the output in Self-Test Exercise 15...Ch. 3.2 - Prob. 19STECh. 3.2 - Though we urge you not to program using this...Ch. 3.3 - Prob. 21STECh. 3.3 - Prob. 22STECh. 3.3 - What is the output of the following (when embedded...Ch. 3.3 - What is the output of the following (when embedded...Ch. 3.3 - Prob. 25STECh. 3.3 - What is the output of the following (when embedded...Ch. 3.3 - Prob. 27STECh. 3.3 - For each of the following situations, tell which...Ch. 3.3 - Rewrite the following loops as for loops. a.int i...Ch. 3.3 - What is the output of this loop? Identify the...Ch. 3.3 - What is the output of this loop? Comment on the...Ch. 3.3 - What is the output of this loop? Comment on the...Ch. 3.3 - What is the output of the following (when embedded...Ch. 3.3 - What is the output of the following (when embedded...Ch. 3.3 - What does a break statement do? Where is it legal...Ch. 3.4 - Write a loop that will write the word Hello to the...Ch. 3.4 - Write a loop that will read in a list of even...Ch. 3.4 - Prob. 38STECh. 3.4 - Prob. 39STECh. 3.4 - What is an off-by-one loop error?Ch. 3.4 - You have a fence that is to be 100 meters long....Ch. 3 - Write a program to score the paper-rock-scissor...Ch. 3 - Write a program to compute the interest due, total...Ch. 3 - Write an astrology program. The user types in a...Ch. 3 - Horoscope Signs of the same Element are most...Ch. 3 - Write a program that finds and prints all of the...Ch. 3 - Buoyancy is the ability of an object to float....Ch. 3 - Write a program that finds the temperature that is...Ch. 3 - Write a program that computes the cost of a...Ch. 3 - (This Project requires that you know some basic...Ch. 3 - Write a program that accepts a year written as a...Ch. 3 - Write a program that scores a blackjack hand. In...Ch. 3 - Interest on a loan is paid on a declining balance,...Ch. 3 - The Fibonacci numbers F are defined as follows. F...Ch. 3 - The value ex can be approximated by the sum 1 + x...Ch. 3 - Prob. 8PPCh. 3 - Prob. 9PPCh. 3 - Repeat Programming Project 13 from Chapter 2 but...Ch. 3 - The keypad on your oven is used to enter the...Ch. 3 - The game of 23 is a two-player game that begins...Ch. 3 - Holy digits Batman! The Riddler is planning his...
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- Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))arrow_forwardThe United States federal personal income tax is calculated based on filing status and taxable income. There are four filing statuses: single filers, married filing jointly, married filing separately, and head of household. The tax rates vary every year. Table 4.2 shows the rates for 2009. If you are, say, single with a taxable income of $10,000, the first $8,350 is taxed at 10% and the other $1,650 is taxed at 15%. So, your tax is $1,082.50. TABLE 4.2 2009 U.S. Federal Personal Tax Rates Marginal Tax Rate 10% 15% 25% 28% 33% 35% Single $0-$8,350 $8,351-$33.950 $33,951-$82,250 $82,251 - $171,550 $171,551-$372,950 $372,951+ Married Filing Jointly $0-$16,700 $16,701-$67,900 $67.901-$137,050 $137,051 - $208,850 $208,851-$372,950 $372,951+ Married Filing Separately $0-$8,350 $8,351-$33,950 $33,951 - $68,525 $68,526-$104,425 $104,426-$186,475 $186,476+ Head of Household $0-$11,950 $11,951-$45,500 $45,501-$117,450 $117.451-$190,200 $190,201-$372,950 $372.951+ You are to write a program to…arrow_forwardIf a year contains additional day (366), it is called "leap year". This extra day makes Februay 29 days long. Every 4 years a leap year occurs; However, it also depends on some additional conditions. A leap year is exactly divisible by 4 except for century years ending with 100. The century year can be leap year if it is divisible by 400. Examples: 2020, 2024 are leap year 2018, 2019 are not leap year 2000, 1600 are leap year, 1800 are not leap year. Write a code in C or Python that calculates if a year is a leap year or not that entered by user.arrow_forward
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