1.

Write a program to check if the following condition satisfies for a user input

number:

ABC = A! + B! + C!

Example: 145 = 1! + 4! + 5! = 1+24+120 = 145

(5

points)

2.

Suppose we can buy a chocolate bar from the vending machine for

$1 each

.

Inside every chocolate bar

,

there

is a coupon. We can redeem

7 coupons

for one

chocolate bar from the machine. We would like to know how many choc

olate

bars can be eaten, including those redeemed via coupon, if we have

n

dollars.

For example, if we have 20 dollars then we can initially buy 20 chocolate bars.

This gives us 20 coupons. We can redeem 14 coupons for 2 additional chocolate

bars. Thes

e two additional chocolate bars have 2 more coupons, so we now have

a total of 8 coupons when added to the six leftover from the original purchase.

This gives us enough to redeem for one final chocolate bar. As a result we now

have 23 chocolate bars and

2 leftover coupons.

Write a program that inputs the

number of dollars and outputs how many chocolate bars you can collect after

spending all your money and redeeming as many coupons as possible. Also

output the number of leftover coupons. The easiest

way to solve this problem is

to use a loop.

(10

points)

3.

A credit card company currently has three member levels, Platinum, Gold, and

Silver. Each credit card has a different interest rate:

Platinum member: 1% per month

Gold member: 2% per month

Silver member:

3% per month

If Platinum or Gold level customers make a late payment, then their interest rate for

the month doubles. For example, if a Platinum member is late, then his interest rate

increases from 1% to 2% for the month.

If a Silver level customer is

late on a payment, their interest rate does not increase.

Instead, they are assessed a flat $20 penalty for being late.

For this assignment, you will write a program that calculates the minimum payment,

which is 2% of the principle plus any interest and f

ees. You will also need to

calculate the percentage of the payment that goes to the principle. This is given by