Answer Happy

The percents of girls age x or younger who have been sexually active are given in the table. a. Create a logarithmic functon that models the data, using an input equal to the age of the girls. b. Use the model to estimate the percent of girls age 16 or younger who have been sexually active. c. Find the quadratic function that is the best fit for the data. d. Graph each of these functions on the same axes with the data points to determine which function is the better model for the data. a. Give the logarithmic function below. y=0+0 Inx (Type integers or decimals rounded to the nearest thousandth as needed.) Age Cumulative Percent Sexually Active Girls 5.7 12.2 27.6 44.2 62.6 73.3 Baadal:

90 The logistic growth function P(x)=- -0.122x models the percentage, P(x), of Americans who are x years old and have some coronary heart disease. Use this function to find the age at which the percentage of Americans who have some coronary heart disease is 52%. 1+271 e What is the age at which 52% of Americans have some coronary heart disease? years old (Round to the nearest integer.)

The number of students infected with flu at a high school after t days is 700 modeled by the function P(t) = 1+49e -0.31 The school will close when 600 of the 700 students are infected. After how many days will the school close? days (Round to the nearest whole number.)

Suppose that $70,000 is invested at 7% interest. Find the amount of money in the account after 8 years if the interest is compounded annually. If interest is compounded annually, what is the amount of money after t 8 years? (Do not round until the final answer. Then round to the nearest cent as needed.)

If $14,000 is invested at 9% interest compounded quarterly, find the interest earned in 14 years. BICCOD The interest earned in 14 years is $. (Do not round until the final answer. Then round to two decimal places as needed.)