The average births per woman in a certain developing country can be modeled according to the equationf(x) = 0.004x² – 0.25x + 6.57 where x is the number of years since 1959. Step 2 of 2: What was the rate of change in the country's average births per woman in 1982?

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= 3.059 (1.104*). (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) b. The quadratic function that models the data is y= 6.188x2-557.818x+12,448.185. (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) 127 164 242 362 559 Age 60 65 70 75 Full data set Monthly Premium (S) 946 1904 3485 5873

A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the ventilating ducts of an old nuclear processing building. If the half-life of the substance is 17 years what was the amount of the substance when it was deposited 41 years ago?

what is the equation of the exponential function that goes through the points (1,10) and (4,80)?