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Lera25 [3.4K]
3 years ago
8

Solving Exponential and Logarithmic Equations In Exercise, solve for x. 100(1.21)x = 110

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:X=110/121

Step-by-step explanation:

Multiply 100 by 1.21 then by x

121x=110

Divide both side by 121

X=110/121

X=0.91

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The number of seeds produced by the plants  = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))

To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;

d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0

(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0

t = 41.419 or t = -241.419

Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.

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