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Exercise 3: Imagine that you have a crystal ball and can predict the percentage increases in tuition for the next 22 years. The following vector increase shows your predictions, in percent, for each year: increase = [10, 8, 10, 16, 15, 4, 6, 7, 8, 10, 8, 12,14, 15, 8, 7, 6, 5, 7, 8, 9, 8] Use a for loop to determine the cost of education after 22 years, assuming that the current cost for 1 year at a state school is $5000. What would be the cost of the 4-year tuition if one was to start their education 10 years from now? Exercise 4: The inverse of the mathematical constant e can be approximated as follows: 1 2=(1-1) 1 e Write a script that will loop through values of n (starting with n= 1) until the difference between the approximation and the actual value is less than 0.0001. The script should then print out the built-in value of e-1 and the approximation to four decimal places, and also print the value of n required for such accuracy. You can use the following template for writing the script. while abs( newApproximate exp(-1)) > 0.0001 % compute the new approximate value end