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So u = 2 updates.
Francie starts a side project independently funded by research grants. She receives $300 in month 1, and each month earns 15% more than the previous. How much does she earn in month 6?
This is a geometric sequence: a = 300, r = 1.15
a₆ = 300 × (1.15)⁵
1.15⁵ ≈ 2.011357
× 2.011357 ≈ <<300 * 2.011357 = 603.4071>>603.41
#### 603.41
A scientist models the concentration of a drug in the bloodstream as C(t) = 50 × e^(-0.2t), where t is in hours. What is the concentration after 4 hours?
C(4) = 50 × e^(-0.2×4) = 50 × e^(-0.8)
e^(-0.8) ≈ 0.4493