The half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of engagement remaining on a typical link on the social network website after t hours. Estimate this percentage after 4.2 hours. T(t)=.....%

Based on the scatterplot and computer output, a A popular social media platform has begun offering stock shares to the public. In the past 2 years, the reasonable estimate for the stock price for week 95 is: price of the stock has generally increased. An investment specialist gathers data on the stock price during the past 2 years and creates an exponential model for estimating the stock price based on the number of weeks after the first public offering. $2.27 because ŷ = 0.0022(95) + 2.0583 = 2.2673. $9.65 because log y =0.0022(95) +2.0583 =2.2673 and e2.2673 = 9.6533. %3D log(Stock Price) vs. Weeks $185.05 because log y =0.0022(95) + 2.0583 =2.2673 2.28 and 102.2673 = 185.05. %3D 2.26 2.24 $220.44 because log y =0.0030(95) + 2.0583 =2.3433 and 2.22 102.3433 = 220.44 8 2.2 à 2.12 2.16 2.14 2.12 2.1 2.08 Mark this and return Save and Exit Next Submit log(Stock Price)

Identify each function or situation as an example of exponential growth or decay. What is the y-intercept? 1. a. y = 3(4*) b. y = 11(0.75") c. You put $2000 into a college savings account for four years. The account pays 6% interest annually.

K The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 120 151 219 334 532 Age 60 65 70 75 Full data set O Monthly Premium (S) 980 1789 3208 5729

environmentalists think that the population is increasing at a rate of 2.5% 1. The bear population in Canada was 380,000 in the year 2015, and per year. Consider the function that represents the exponential growth of the bear population in Canada. Part A: Define a variable for the function and state what the variable represents. Part B: What is a reasonable domain for the situation? Part C: Write the function that represents the exponential growth of the bear population. Part D: What is the bear population estimated to be in 2050?

3. Caroline puts S400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).

VI. Solve. 9.) A deposit of $7500 is made in a bond that pays 4% interest, compounded continuously. The balance will be given to a charity after the money has earned interest for 40 years. How much will the charity receive?

There were 27 deer in a park on January 1, 2000.  Six months later there were 38 deer in the same park.  Assume the number of deer in the park with respect to the number of months since January 1, 2000 can be modeled by an exponential function. Determine the 6-month growth factor. Determine the 6-month percent change.%  Determine the 1-month growth factor. Determine the 1-month percent change.% Define a function, g that relates the number of deer in the park reserve in terms of the number of months that have elapsed since January 1, 2000, n .  (Assume the number of deer continues to increase by the same percent each month).