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I am confused about questions 8. A and B 8 8. A nest of ants has been growing exponentially in such a way that its

I am confused about questions 8. A and B

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8 8. A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w) = 24, 000(1.063)" (a) For the first 5 weeks, is the population increasing on average more or less than 1600 ants per week? Explain how you determined your answer. P lu): 24000 ( 1.063 ) " $574 441 P CS) = 2 4000 1 1. 063) 5 5 1174.90 - 3257. 949 1174, 9 0 2 LOU PIs)- Plo) = 8574. 49 Thess the 1600 (b) Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew's claim is too high of a rate. P (+ ) : Allor ) 6. 063 17 ( 1 + r ) = 1.063 = 0, 009 ( 0.009 . 100 :) = 0.9% pe here] 1= 1. 063- 1 r = 0. 063

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