1) An object falls 9 meters during the first second, another 27 meters during the second second, and then 81 meters more during the third second. If this pattern continues, how far does the object fall during the first 4 seconds?

2)A mother is convinced by her son that he should have a weekly allowance that is doubled every 2 weeks. In weeks 1 and 2 he receives 5¢ per week; in weeks 3 and 4 he receives 10¢ per week. If his allowance continues to double every 2 weeks, what is the amount of his allowance in week 30 (rounded to the nearest cent) and what is the total amount

Question

1) An object falls 9 meters during the first second, another 27 meters during the second second, and then 81 meters more during the third second. If this pattern continues, how far does the object fall during the first 4 seconds?

2)A mother is convinced by her son that he should have a weekly allowance that is doubled every 2 weeks. In weeks 1 and 2 he receives 5¢ per week; in weeks 3 and 4 he receives 10¢ per week. If his allowance continues to double every 2 weeks, what is the amount of his allowance in week 30 (rounded to the nearest cent) and what is the total amount

anonymous · Answer

3) Suppose you drop a ball from a window 32 meters above the ground. The ball bounces to 80% of its previous height with each bounce. What is the total number of meters (rounded to the nearest tenth) the ball travels between the time it is dropped and the 10th bounce?

anonymous · Answer

@Mythorius

mythorius · Answer

2) 32768

anonymous · Answer

@Mythorius can you solve the other 2(1 and 3)

mythorius · Answer

what exactly is 3 asking?

anonymous · Answer

@Mythorius It is asking what is the sum of the heights from the time is is dropped to the 10th bounce?

mythorius · Answer

so the height from each drop added all together?

anonymous · Answer

yes

mythorius · Answer

that should be easy to figure out then, wouldn't you think?

mythorius · Answer

what's 80% of 32?

anonymous · Answer

both 1 and 3 use this formula:

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