The changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. they paid 6 3/5% sales tax on their purchases. if the chang's paid $351.72 total, determine if they paid the correct amount. a. the chang's family paid $0.33 too much for their purchases. b. the changs family paid $0.99 too much for their purchases. c. the changs family paid $5.94 too much for their purchases. d. the changs family paid the correct amount for their purchases.

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