The speed vms- of an object at time t seconds is modelled by the differential equation
de =-kv(4+12),
where k is a positive constant. initially, v = 4.
(i) find constants a, b and c such that –
v(4 +12v
4 +12
(ii) hence show by integration that v =
_
4
(iii) after 1 second the speed of the object is 2 ms. find the value of k.

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

Which property was used to simplify the expression? 3c+9 +4c=3c+4c+9

Taina went to the toy store and spent $21.05 on a board game, $2.75 on coloring books, and $13.22 on a model airplane. about how much money did taina spend in the toy store?