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i am unable to solve this Mat 171 Recitation 6 1. In a group project In learning theory, a mathematical model for the proportion P

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Mat 171 Recitation 6 1. In a group project In learning theory, a mathematical model for the proportion P of correct response after n trials was found to be _ 0.83 _ 1 + 9"" 73.1% of the responses are correct after 10 trials. (a) Complete the model by solving for k. (b) Use the graphing utility to graph the function. Is the proportion P of correct response increasing or decreasing? (c) Determine the horizontal asymptotes of the function. Interpret the meaning of the upper asymptote in the context of this problem. (d) After how many trials will 60% of the responses be correct? 2. The "effective yield" of a savings plan is the percent increase in the balance after 1 year. Here are 3 savings plans: X 7% annual interest rate, compounded annually % 7% annual interest rate, compounded quarterly x 7% annual interest rate, compounded monthly (3) Find the effective yield for each savings plan when 51000 is deposited in a savings account. (b) Which savings plan has the greatest effective yield? Which savings plan will have the highest balance after 5 years? Why? (c) For the savings plan that has the greatest effective yield, how long will it take your money to double? Suppose you have deposited $1000 in an account. (d) You are investing P dollars at an annual interest rate of r, compounded annually, for t years. Which of the following would result in the highest value of the investment? Why? i. Double the amount you invest. ii. Double the number of yea rs

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