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

question 303

Short Answer

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. $$C = 60 + 40 \cos \left( \frac { \pi } { 3 } t - \frac { \pi } { 3 } \right)$$ Here $\mathrm { C }$ is the cost of power in dollars for the month $t , 1 \leq t \leq 12$ , with $t = 1$ corresponding to January. For what values of $t , 1 \leq t \leq 12$ , is the cost exactly $\$ 80$ ?

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Definitions:

Fixed-Rate Loan

A loan where the interest rate remains constant throughout the term of the loan, providing predictability in payments.

Mortgage Broker

A professional intermediary who facilitates the process of acquiring a mortgage loan for individuals or businesses.

Maturity

Maturity, in the context of finance, refers to the date on which the final payment of a loan or financial instrument must be paid back in full.

Line of Credit

A flexible loan from a bank or financial institution that offers a maximum loan balance that can be used over time.