Population: Since birth rates are going down and people are living longer, the percent of the population that is 65 years old or older continues to rise. The percent of the U.S. population P that is at least 65 years old can be approximated by the equation P = 3.79(1.013), where trepresents the number of years since 1900. (a) What percent of the population will be 65 years of age or older in the year 1999? Round the answer to 2 decimal places. Number % (b) Predict the year in which people ages 65 or older will represent 26% of the population if this trend continues. Number

the value of a painting can be predicted by the expression 120(1.08) t, where T is the number of years since 2014. What does the value 120 represent?

Money deposited in a fund triples every 8 years. If the bank compounds the interest continuously, what annual interest rate is the bank offering?Express your answer as a percentage, rounded to the nearest .01%.

In 2005, you have 70 songs in your favorite iTunes playlist. In 2007, you have 140 songs. In 2010, you have 70. Enter the exact answers. (a) What is the average rate of change per year in the number of songs in your favorite iTunes playlist between 2005 and 2007? The average rate of change is 35 (b) What is the average rate of change per year in the number of songs in your favorite iTunes playlist between 2007 and 2010? The average rate of change is 23 songs per year. The average rate of change is 0 songs per year. (c) What is the average rate of change per year in the number of songs in your favorite iTunes playlist between 2005 and 2010? songs per year.