A bank account balance, in dollars, is modeled by the equation f(t)=1000⋅(1.08)t, where t is time measured in years. About how many years will it take for the account balance to double? Explain or show how you know.

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.

Quadrilateral ghij has coordinates g(5, 1), h(4, -3), i(6, -1), and j(2, 1). if the quadrilateral is reflected over the line y = x, what are the coordinates of h'?

The table shows the results of a survey on students favorite kind of movie. select the appropriate values to complete the model to find the fraction of students that prefer comedy or action movie.