Question

Using the Design Recipe, write an algorithm for each of the following programming problems, showing all work (i.e., Contract, Purpose Statement, Examples and Algorithm):

5.Write a program that reads two times in military format (e.g., 0900, 1730) and prints the number of hours and minutes between the two times. Note that the first time can come before or after the second time.

6.An online bank wants you to create a program that shows prospective customers how their deposits will grow. Your program should read the initial balance and the annual interest rate. Interest is compounded monthly. Print out the balance for each of the first three months.

7.A video club wants to reward its best members with a discount based on the member’s number of movie rentals and the number of new members referred by the member. The discount is in percent and is equal to the sum of the rentals and the referrals, but it cannot exceed 75 percent. The program shows the user the discount rate awarded.

Answer 1

5.

Algorithm:

TimeDifference(time1,time2):

{

time1Hour=time1/100

time1Min=time1%100

time2Hour=time2/100

time2Min=time2%100

if(time1>time2)

{

diffHour=time1Hour-time2Hour

diffMin=time1Min-time2Min

if(diffMin<0)

{

diffMin=diffMin+60

diffHour=diffHour-1

}

}

else

{

diffHour=time2Hour-time1Hour

diffMin=time2Min-time1Min

if(diffMin<0)

{

diffMin=diffMin+60

diffHour=diffHour-1

}

}

return(diffHour*60+diffMin)//return difference in minutes

}

6.

Algorithm:

CalculateInterest(balance,rate):

{

for i=1 to 3

{

balance=balance+(balance*rate)

print("Balance after month "+i+" is"+balance)

}

}

7.

Algorithm:

CalculateDiscount(rental,referal):

{

discount=rental+referal

if(discount>75)

discount=75

print(discount)

}