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Satisfies the differential equation

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Reference no: EM131075383

MATH 16A QUIZ 6-

(1) A sample of radioactive material disintegrates from 25000 grams to 10000 grams in 12 days. After how many days will 256 grams remain?

(2) Let A(t) be the balance in a savings account after t years, and suppose that A(t) satisfies the differential equation

A'(t) = (ln 3)A(t)

with initial condition A(0) = 2.

(a) Find the formula for A(t).

(b) What is the balance at t = 3?

(c) At which time t is the balance equal to 162? Simplify your answer (it should be a whole number).

Reference no: EM131075383

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