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Rate of Growth of an Investment

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Investment: The rate of growth of an investment is proportional to the amount in the investment at any time t. That is,

dA/dt = kA

The initial investment is $1000 and after 10 years the balance is $3320.12. The general solution is:

A = Ce^kt

What is the particular solution?

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The rate of growth of an investment is determined. A Complete, Neat and Step-by-step Solution is provided.

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dA/dt = kA

dA/A = k dt

Integrating on both sides, we get ln A = kt + c

By data, when t ...

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