Question

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 1¢ per week; in weeks 3 and 4 he receives 2¢ 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 he receives in allowance for the 30 weeks (rounded to the nearest cent)?

Answer 1

@surjithayer

Answer 2

i need help :/

Answer 3

The allowance in week 30 should be 2^(30/2-1) since it doubles every 2 weeks not every week, and it started as one, not two cents, so it's about $163.84

Answer 4

A. The son receives $163.84 in week 30 and he accumulates $655.34 in total for the 30 weeks.
B. The son receives $32,768.00 in week 30 and he accumulates $65,534.00 in total for the 30 weeks.
C. The son receives $157.24 in week 30 and he accumulates $555.24 in total for the 30 weeks.
D. The son receives $60.00 in week 30 and he accumulates $1,800.00 in total for the 30 weeks.

Answer 5

so it has to be A?

Answer 6

@surjithayer

Answer 7

no wait i got 32767 so it has to be B then @surjithayer

Answer 8

please tell me if I'm right or wrong

Answer 9

correct

Answer 10

okay perfect!, thank youuu

Answer 11

can you help me with one more problem? @surjithayer

Answer 12

it is A

Answer 13

okay i got it :) @surjithayer

Answer 14

i will try.