SOLUTION: A candle shop makes 60 candles per week. It plans to increase the number of candles it makes by 8% until it reaches a production of 132 candles per week. How many weeks will it tak

Algebra ->  Equations -> SOLUTION: A candle shop makes 60 candles per week. It plans to increase the number of candles it makes by 8% until it reaches a production of 132 candles per week. How many weeks will it tak      Log On


   



Question 165360: A candle shop makes 60 candles per week. It plans to increase the number of candles it makes by 8% until it reaches a production of 132 candles per week. How many weeks will it take for the shop to reach its production scheldule?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A candle shop makes 60 candles per week. It plans to increase the number of candles it makes by 8% until it reaches a production of 132 candles per week. How many weeks will it take for the shop to reach its production schedule?
:
Let t = no. of weeks for this to happen
:
Treat this like compound interest:
60*(1.08)^t = 132
:
1.08^t = 132%2F60
:
1.08^t = 2.2
:
t*log(1.08) = log(2.2)
:
.03342t = .34242
t = .34343%2F.03342
t = 10.25 weeks
:
:
Check on a calc enter: 60*1.08^10.25 = 132.0