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omeli [17]
2 years ago
15

Prove that any amount of postage greater than or equal to 64 cents can be obtained using only 5-cent and 17-cent stamps?

Computers and Technology
1 answer:
elixir [45]2 years ago
6 0
Let P(n) be "a postage of n cents can be formed using 5-cent and 17-cent stamps if n is greater than 63".Basis step: P(64) is true since 64 cents postage can be formed with one 5-cent and one 17-cent stamp.Inductive step: Assume that P(n) is true, that is, postage of n cents can be formed using 5-cent and 17-cent stamps. We will show how to form postage of n + 1 cents. By the inductive hypothesis postage of n cents can be formed using 5-cent and 17-cent stamps. If this included a 17-cent stamp, replace this 17-cent stamp with two 5-cent stamps to obtain n + 1 cents postage. Otherwise, only 5-cent stamps were used and n  65. Hence there are at least three 5-cent stamps forming n cents. Remove three of these 5-cent stamps and replace them with two 17-cent stamps to obtain n + 1 cents postage.Hence P(n + 1) is true.
You might be interested in
Write a function so that the main() code below can be replaced by the simpler code that calls function MphAndMinutesToMiles(). O
babymother [125]

Answer:

The program to this question can be given as:

Program:

#include <iostream> //header file

using namespace std; //using namespace

double MphAndMinutesToMiles(double milesPerHour, double minutesTraveled) //defining method

{

return (minutesTraveled/ 60.0)*milesPerHour; //return value.

}

int main() //defining main method

{

double milesPerHour,minutesTraveled; //define variable

cout<<"Enter miles per hour :";  

cin >> milesPerHour;  

cout<<"Enter travelling minutes :";

cin >> minutesTraveled;

cout << "Miles: "<< MphAndMinutesToMiles(milesPerHour, minutesTraveled)<< endl;

return 0;

}

Output:

Enter miles per hour :12

Enter travelling minutes :20

Miles: 4

Explanation:

The explanation of the above C++ program can be given as:

  • In the first header file is include the function is define that is "MphAndMinutesToMiles". This function accepts two parameters that are "milesPerHour and minutesTraveled".
  • Both parameter datatype is double and the function return type is also double. Inside a function calculate miles and return its value.
  • In the main method, two variable defines that takes value from the user side and pass into the function. To print function return value we use "cout" function that prints function return value.
6 0
2 years ago
(Package Inheritance Hierarchy) Package-delivery services, such as FedEx®, DHL® and UPS®, offer a number of different shipping o
lys-0071 [83]

Answer:

Check the explanation

Explanation:

note: code is implemented as per the main method provided:

code:

using System;

public class Package

{

string senderName11;

string senderAddress1;

string senderCity1;

string senderState1;

string senderZip1;

string recipientName1;

string recipientAddress1;

string recipientCity1;

string recipientState1;

string recipientZip1;

decimal weight1;

decimal costPerOunce1;

public string SenderName11

{

get { return senderName11; }

set { senderName11 = value; }

}

public string SenderAddress1

{

get { return senderAddress1; }

set { senderAddress1 = value; }

}

public string SenderCity1

{

get { return senderCity1; }

set { senderCity1 = value; }

}

public string SenderState1

{

get { return senderState1; }

set { senderState1 = value; }

}

public string SenderZip1

{

get { return senderZip1;}

set { senderZip1 = value; }

}

public string RecipientName1

{

get { return recipientName1; }

set { recipientName1 = value; }

}

public string RecipientAddress1

{

get { return recipientAddress1; }

set { recipientAddress1 = value; }

}

public string RecipientCity1

{

get { return recipientCity1; }

set { recipientCity1 = value; }

}

public string RecipientState1

{

get { return recipientState1; }

set { recipientState1 = value; }

}

public string RecipientZip1

{

get { return recipientZip1; }

  set { recipientZip1 = value; }

}

public decimal Weight1

{

get { return weight1; }

set

{

if (value > 0)

weight1 = value;

else

Console.WriteLine("Weight1 can't be less tha zero");

}

}

public decimal CostPerOunce1

{

get { return costPerOunce1; }

set

{

if (value > 0)

costPerOunce1 = value;

else

Console.WriteLine("Cost per ounce can't be less than zero");

)

{

SenderName11 = senderName11;

SenderAddress1 = senderAddress1;

)

{

TwoDayDeliveryFee = twoDayDeliveryFee;

}

public override decimal CalculateCost()

{

return base.CalculateCost() + TwoDayDeliveryFee;

}

OvernightDeliveryFeePerOunce = overnightDeliveryFeePerOunce;

}

public override decimal CalculateCost()

{

return (CostPerOunce1 + OvernightDeliveryFeePerOunce) * Weight1;

}

}

class TestPackages

{

static void Main(string[] args)

{

Package regularPackage = new Package

(

"Peter Anderson",

"123 Main St, Ashville, NC 27111 ",

"Ashville",

"NC 27111",

"MN 55416",

"Mary Brown",

"456 Broad St Benson, NC 27222",

"St. Petersburg",

"Benson",

"NC 27222",

160M,

0.1M

);

Console.WriteLine("\nRegular Package: ");

  Console.WriteLine(" Sender's Name: {0}",

      regularPackage.SenderName11);

  Console.WriteLine(" Sender's Address: {0}",

      regularPackage.SenderAddress1);

  Console.WriteLine(" Recipient's Name: {0}",

       regularPackage.RecipientName1);

  Console.WriteLine(" Recipient's Address: {0}",

       regularPackage.RecipientAddress1);

  Console.WriteLine(" Weight1: {0}"

, regularPackage.Weight1);

  Console.WriteLine(" Cost Per Ounce: {0:C}",

       regularPackage.CostPerOunce1);

  Console.WriteLine("Shipping Cost: {0:C}",

       regularPackage.CalculateCost());

Console.WriteLine(regularPackage.CalculateCost());

 

TwoDayPackage twoDayPackage = new TwoDayPackage

(

"Peter Anderson",

"123 Main St 123 Main St, Ashville, NC 27111",

"Ashville",

"NC 27111",

"MN 55416",

"Mary Brown",

"456 Broad St",

"St. Petersburg",

"Benson",

"NC 27222",

160M,

0.1M,

1.5M

);

  Console.WriteLine("\nTwo-Day Package: ");

  Console.WriteLine(" Sender's Name: {0}",

  twoDayPackage.SenderName11);

Console.WriteLine(" Sender's Address: {0}",

twoDayPackage.SenderAddress1);

  Console.WriteLine(" Recipient's Name: {0}",

   twoDayPackage.RecipientName1);

  Console.WriteLine(" Recipient's Address: {0}",

   twoDayPackage.RecipientAddress1);

  Console.WriteLine(" Weight1: {0}", twoDayPackage.Weight1);

  Console.WriteLine(" Cost Per Ounce: {0:C}",

   twoDayPackage.CostPerOunce1);

  Console.WriteLine(" Flat Fee: {0:C}",

   twoDayPackage.Weight1);

  Console.WriteLine(" Shipping Cost: {0:C}",

   twoDayPackage.CalculateCost());

OvernightPackage overnightPackage = new OvernightPackage

(

"Peter Anderson",

"123 Main St 123 Main St, Ashville, NC 27111",

"Ashville",

"NC 27111",

"MN 55416",

"Mary Brown",

"456 Broad St Benson, NC 27222",

"St. Petersburg",

"Benson",

"NC 27222",

160M,

0.1M,

1.5M

);

Console.WriteLine("\nOvernight Package: ");

  Console.WriteLine(" Sender's Name: {0}",

   overnightPackage.SenderName11);

  Console.WriteLine(" Sender's Address: {0}",

   overnightPackage.SenderAddress1);

  Console.WriteLine(" Recipient's Name: {0}",

   overnightPackage.RecipientName1);

  Console.WriteLine(" Recipient's Address: {0}",

   overnightPackage.RecipientAddress1);

  Console.WriteLine(" Weight1: {0}",

   overnightPackage.Weight1);

  Console.WriteLine(" Cost Per Ounce: {0:C}",

   overnightPackage.CostPerOunce1);

  Console.WriteLine(" Additional Cost Per Ounce: {0:C}",

   overnightPackage.OvernightDeliveryFeePerOunce);

  Console.WriteLine(" Shipping Cost: {0:C}",

   overnightPackage.CalculateCost());

Console.WriteLine(overnightPackage.CalculateCost()); Console.ReadKey();

}

}

The Result can be seen below:

8 0
2 years ago
Which formula would you enter into C3, and then AutoFill into C4 through C6, to calculate the percent sales (Pct.) for the regio
inna [77]

Answer:

In C3, you would enter the formula:

  • =B3/$B$7%

Explanation:

Let's assume the first row is 1 and it contains the titles of the columns.  For instance, the content of the cellss A1:C1 could be:

  • A1: Region
  • B1: Sales
  • C1: Percent Sales

Also, assume the second row is empty and the cells on the first column, A, contain the names of four regions. For instance, North, South, East, and West:

  • A3: North
  • A4: South
  • A5: East
  • A6: West

The cells B3:B6 contain the sales for the four regions. For instance:

  • B3: 200
  • B4: 300
  • B5: 100
  • B6: 400

Then, you must calculate the percent sales for every region, in the cells <em>C3:C6.</em>

That means, you must divide the sale of every region by the total of sales and multiply by 100.

To do that in the worksheet you do this:

<u>1. Sum the sales for the regions:</u>

  • In cell B7 introduce: =SUM(B3:B6)

<u>2. Calculate the percent sale for the first region:</u>

  • In cell C3 introduce: =B3/$B$7%

That means that the reference B3 is relative: when you copy that formula, the column (B) and the row (3) will change accordingly to the cell where you will copy it.

Thus, by using the Autofill into C4 through C6, the column wil remain unchanged (C) and the row will change to 4, 5, and 6, respectively.

The symbol $ used in $B$7 make the reference absolute. That means that they will not change. The symbol % makes that the result is multiplied by 100.

<u>3. When you use Autofull into C4 through C6, you obtain:</u>

  • C4: =B4/$B$7%
  • C5: =B5/$B$7%
  • C6: =B6/$B$7%
4 0
2 years ago
What is the Gain (dB) of a transmission if the Maximum Data Rate is 1 Gbps and the Bandwidth =7000 MHz? Group of answer choices
denpristay [2]

Answer:

15.420 dB

Explanation:

the Gain (dB) of a transmission if the Maximum Data Rate is 1 Gbps and the Bandwidth =7000 MHz is 15.420 dB.

3 0
2 years ago
The Tell Me feature also includes access to the _____ feature.
Ierofanga [76]

Answer:

the quick access toolbar can be customized to include additional commands such as. -"tell me what you want to do" box ... custom programs or additional commands that extend the functionality of a Microsoft office program ... in the open window. it also includes ribbon display options and control buttons that enable you to ...

Explanation:

7 0
2 years ago
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