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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)?

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.

 Mar 1, 2016
 #1
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The amount in week 30  =

 

.02 (2)^(15 -1) / 2 =   $ 163.84

 

And the accumulated amount is given by :

 

.02 [1 - 2^15] / [1 - 2]   = $ 655.34

 

"A"  is correct

 

 

 

cool cool cool

 Mar 1, 2016

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