Marc is decorating 60 cupcakes for a school fund-raiser. he starts working at 1: 00 p. m. in the afternoon, first setting up his supplies and then starting to decorate. at 1: 05 p. m. he has 5 cupcakes decorated. at 1: 08 p. m. he has 10 cupcakes decorated. if he decorates cupcakes at a constant rate, at what time that afternoon will he finish decorating the 60 cupcakes?

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3