Part $1$ Write a function called payment to calculate the payment for a loan. There are three parameters needed: length of loan in years $t,$ annual interest rate, $r,$ and the amount borrowed, $P.$ The formula to find the payment is

$p=\frac{\frac{r}{12}P}{1-(1+\frac{r}{12}{)}^{-12i}}$

where

$p=$ payment

$P=$ principle loan amount

$r=$ annual interest rate $($as a decimal$)$

$t=$ time in years

The function definition should begin like:

def payment$($rate$,$ years, principle$)$:

# your implementation code goes here

Part $2$ Write a function called totalofPayments to calculate the total amount paid for the loan after the loan is paid. The formula is

$T=p12t$

where

$p=$ payment

$t=$ time $in$ years

The function definition should begin like:

def totalofpayments$($rate$,$ years, principle$)$:

# your implementation code goes here

Hint: this function can call the payment $)$ function to get $p.$

Page $1$ of $2$

Part $3$ Write a function called financeCharge to calculate the total interest paid over the life of the loan. The formula is

$I=T-P$

where

$P=$ principle loan amount

$T=$ total $of$ payments

The function definition should begin like:

def financecharge$($rate$,$ years, principle$)$:

# your implementation code goes here

Hint: this function can call the total OfPayments function to get $T.$

All three functions should be saved in one file called Loan$\_$payment. py$.$ Alsa include a program that calls these functions. Use the following values to test your three functions.

Test Values

rate $=0\mathrm{.}0989(9\mathrm{.}89\%$ APR$)$

years $=5\mathrm{.}0$

principle $=10000$

rate $=0\mathrm{.}119,(11\mathrm{.}9\%$ APR$)$

years $=2\mathrm{.}0$

principle $=35000$

$\backslash$table$[[$Results$],[$Payments:$,21193],[$Finance Charge,$2\mathrm{.}7157],[$Total:$,12,7157],[,],[,],[$Payments$,1,645],[$Finance Charg,$4,50],[$Total$,3950]]$