Math  /  Algebra

Question7 Fill in the Blank 2 points
Question 4 The area covered by a lake is 11 square kilometers. It is decreasing exponentially at a rate of 2 percent each year and can be modeled by A(t)=11(0.98)tA(t)=11 \cdot(0.98)^{t}. a. By what factor does the area decrease in 10 years? type your answer... \square b. By what factor does the area decrease each month? \square type your answer...
Instructions Use the following information to answer questions 8 - 10.

Studdy Solution
Calculate the monthly decrease factor by evaluating (0.98)1/12 (0.98)^{1/12} .
The factor by which the area decreases in 10 years is:
(0.98)10 \boxed{(0.98)^{10}}
The factor by which the area decreases each month is:
(0.98)1/12 \boxed{(0.98)^{1/12}}

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