The following table gives the value of an investment, after intervals ranging from 0 to 7 years, of $50,000 invested at 10%, compounded annually. Year Amount Investment Grows to 0 50,000.00 1 55,000.00 2 60,500.00 3 66,550.00 4 73,205.00 5 80,525.50 6 7 88,578.05 97,435.86 (a) Develop an exponential model for these data, accurate to four decimal places, with x in years and y in dollars. y= (b) Use the model to find the amount to which $50,000 will grow in 25 years if it is invested at 10%, compounded annually. (Round your answer to two decimal places.) Need Help? Read It Talk to a Tutor Show My Work (optional) ( -/3 points HarMathAp12 5.2.077. In 2015, 88% of U.S. residents used the internet, up from 14% in 1995. The table shows the percent who use the internet for selected years from 2000 and projected to 2025. Year Percent Year Percent 2000 67 2015 88 2005 2010 79 82 2020 95 2025 98 (a) Find the logarithmic function that models the percent p as a function of x, the number of years after 1990. Report the model with 4 significant digit coefficients. y= (b) Visually determine whether this model is a good fit for the data. Yes, this model is a reasonably good fit for the data. No, this model is not a good fit for the data at all. (c) Use the model to predict the percentage of internet users in the United States in 2022. (Round your answer to one decimal place.) %