Suppose that 50 000 from a retirement account is invested in a large cap stock fund After 30 yr the value is 161 946 41 Part 1 of 2 a Use the model A Pe to determine the average rate of return under continuous compounding Round to the nearest tenth of a percent Avoid rounding in intermediate steps The average rate is approximately 3 9 Part 1 2 Part 2 of 2 b How long will it take the investment to reach one quarter million dollars Round to the nearest tenth of a year Round values in intermediate steps to three decimal places