A gondola travels along a straight cable from the base of a mountain to the top. It travels at a constant rate. After the first 8 seconds of the trip, the gondola has gained 12 meters of elevation (vertical height) and has gone a horizontal distance of 16 meters.
The gondola’s maximum elevation at the top of the mountain is 750m.

What is the total distance the gondola travels along the cable?

How long does it take for the gondola to go from the bottom of the mountain to the top?

Aquantity with an initial value of 3900 decays exponentially at a rate of 35% every hour. what is the value of the quantity after 0.5 days, to the nearest hundredth?

Out of $20$ creepy-crawly creatures in a room, $80\%$ are flies and $20\%$ are spiders. if $s\%$ of the total legs belong to spiders, what is $s$?

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.