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Write the Word or Phrase That Best Completes Each Statement C=60+40cos⁡(π3t−π3)C = 60 + 40 \cos \left( \frac { \pi } { 3 } t - \frac { \pi } { 3 } \right)

Question 303

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Write the word or phrase that best completes each statement or answers the question.
-A consumer notes the sinusoidal nature of her monthly power bills. In winter when she uses electricity to heat her home
and in summer when she cools her home, the bills are high. In spring and fall, significantly less electricity is used and the
bills are much smaller. The following function models this behavior. C=60+40cos⁡(π3t−π3)C = 60 + 40 \cos \left( \frac { \pi } { 3 } t - \frac { \pi } { 3 } \right) Here C\mathrm { C } is the cost of power in dollars for the month t,1≤t≤12t , 1 \leq t \leq 12 , with t=1t = 1 corresponding to January. For what values of t,1≤t≤12t , 1 \leq t \leq 12 , is the cost exactly $80\$ 80 ?

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