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Let at be the balance in a savings account after t years

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?

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