Create a variable intro$\_$e$\_$count that stores the number of times the letter $\text{'}e\text{'}($lower$-$case only$)$ appears in the my$\_$intro variable. Find

a string method that will "count" the occurences. Print the variable after you create it$.[3$pt$]$

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Part $2.$ Money

Define a function compound$\_$interest$()$ that takes three numbers as arguments: an initial bank balance $($principle$,$ in dollars$),$ an annual

interest rate $($as a decimal, so use $\mathrm{.}05$ as $5\%),$ and a number of years. The function should calculate the continuous compound interest and

return the resulting total balance after that many number of years. $[9$pt$]$

See here for an example of the formula and a calculator you can use to check your work.

Be sure and call your function with some testing numbers: $$1000$ at $6\%$ for $5$ years should lead to a balance of $$1349\mathrm{.}86.$

You will need to import the math module for mathematical functions.

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Define a function print$\_$earnings $()$ that takes three numbers as arguments: an initial principle, an annual interest rate $($as a decimal, so

use $\mathrm{.}05$ as $5\%),$ and a number of years. This function should print out the earnings over this period in the following format:

Initial principle: $$1000$

Annual interest rate: $\%6\mathrm{.}0$

Interest earned in $5$ years: $$349\mathrm{.}86$

Total value after $5$ years: $$1349\mathrm{.}86$

You must use your previous compound$\_$interest $()$ function to calculate the amounts; don't write the same equation more than once! Note

that interest rate should be printed as a percentage, monetary values should have a leading $$,$ and you should round monetary values to the

nearest penny. Don't worry about extra or missing trailing $0$ s $($in values like $\%6\mathrm{.}0$ or $$101\mathrm{.}5).[7$pt$]$

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Define a function value$\_$of$\_$change $()$ that takes in named arguments representing amounts of different US coins $($quarters$,$ dimes,

nickels, and pennies$)--$each of the arguments should have a default value of $0.$ The function should return the total value in dollars of

those coins. For example, $5$ quarters, $4$ dimes, $3,$ nickels, and $2$ pennies have a value of $1\mathrm{.}82$ dollars. $[6$pt$]$

Hint: add up all of the "cents" and then convert that into a number of dollars