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R=380(1.08)^(t) The given equation models the revenue in thousands of dollars, R, of a company t years after 2012 . Of the following, which equation models the revenue of the company q quarters after 2012 ? Choose 1 answer: (A) R=380(1.02)^(4q) (B) quad R=380(1.36)^(q) (c) R=380(1.08)^((q)/(4)) (D) R=380(1.08)^(4q)

R=380(1.08)t R=380(1.08)^{t} \newlineThe given equation models the revenue in thousands of dollars, R R , of a company t t years after 20122012 . Of the following, which equation models the revenue of the company q q quarters after 20122012 ?\newlineChoose 11 answer:\newline(A) R=380(1.02)4q R=380(1.02)^{4 q} \newline(B) R=380(1.36)q R=380(1.36)^{q} \newline(C) R=380(1.08)q4 R=380(1.08)^{\frac{q}{4}} \newline(D) R=380(1.08)4q R=380(1.08)^{4 q}

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Q. R=380(1.08)t R=380(1.08)^{t} \newlineThe given equation models the revenue in thousands of dollars, R R , of a company t t years after 20122012 . Of the following, which equation models the revenue of the company q q quarters after 20122012 ?\newlineChoose 11 answer:\newline(A) R=380(1.02)4q R=380(1.02)^{4 q} \newline(B) R=380(1.36)q R=380(1.36)^{q} \newline(C) R=380(1.08)q4 R=380(1.08)^{\frac{q}{4}} \newline(D) R=380(1.08)4q R=380(1.08)^{4 q}
  1. Convert Annual Growth Rate to Quarterly Growth Rate: To model the revenue qq quarters after 20122012, you need to convert years into quarters. Since 11 year equals 44 quarters, you can substitute t=4qt = 4q into the original equation: R=380(1.08)tR = 380(1.08)^t
  2. Substitute the values: Substitute 4q4q for tt in R=380(1.08)tR = 380(1.08)^t.\newlineWe get: R=380(1.08)4qR = 380(1.08)^{4q}\newlineLooking at the answer choices, option (D) R=380(1.08)4qR = 380(1.08)^{4q} matches our derived equation and represents the revenue RR in thousands of dollars qq quarters after 20122012.

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