Each October Albuquerque, New Mexico, hosts the Balloon Fiesta. In 2003, 744 hot air balloons participated in the opening day festivities. One of these balloons rose 389 feet after 1 minute. Because the air in the balloon was not reheated, each succeeding
minute, the balloon rose 63% as far as it did the previous minute.
then calculate the total height of
a. Use sigma notation to represent the height of the balloon above the ground after one hour.
the balloon after one hour to the nearest foot.
b. What was the maximum height achieved by this balloon?