I want you to write a simple program In c$++$ that tracks the effects of inflation over $20$ years on a $$100$ bill that you

stuff under your mattress. i$.$e$.$ It does not pay interest. Create a variable of type double called balance and

initialize its value to $100.$ Create a second variable of type int called year and initialize its value to the current

year. $(2023$ at the time of writing this.$)$ Then create a loop that iterates $20$ times and with each iteration do

three things.

Print to the screen the year and the value of balance.

Increment the year by $1.$

Modify the balance to lose $3\%$ of its value. Any of these expressions should do the trick.

balance $=$ balance $**0\mathrm{.}97$

balance $-=($balance $*0\mathrm{.}03)$;

balance $=$ balance balance $**0\mathrm{.}03$;

I will perhaps deduct $1$ point if the value you display for $2023($or the current year$)$ is not $100.$ In other words

the order in which you do things in a loop matters. $($Or before a loop, or after a loop, etc.$)$ Really think and break

down what needs to be done and the order in which it needs to be done. My list above was written to help you.

Then you can see the true value $($spending power in $2023$ dollars$)$ of that $$100$ bill over the next two decades.

Ignore the fact that the current inflation rate at the time of writing this is a little over $9\%.$

Also, if you want to simplify your program by not creating a year variable and instead calling the counter

variable in a for loop year and using it for your year, more power to you. Efficiency! You do not have to round

values to the nearest cent, but can if you want to$.$ The sample output below shows good values, but if your

implementation of $C_{++}$on your specific computer rounds to a different similar value, that is fine too.

Sample Output