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If $P Is Invested in a Bank Account Earning R B=f(P,r,t)=Pert/100B = f ( P , r , t ) = P e ^ { r t / 100 }

question 113

Essay

If $P is invested in a bank account earning r% interest a year, compounded continuously, the balance, $B, at the end of t years is given by B=f(P,r,t)=Pert/100B = f ( P , r , t ) = P e ^ { r t / 100 } (a)What are the units of B/t\partial B / \partial t ?
(b)What is the practical interpretation (in terms of money)of B/t\partial B / \partial t ?

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Definitions:

Ions

Atoms or molecules with a net electrical charge due to the loss or gain of one or more electrons.

Gases

Substances that can expand freely to fill any space available, irrespective of its quantity.

Subatomic Particles

Particles smaller than atoms, including protons, neutrons, and electrons, which make up the atom's structure.

Electrons

Negatively charged particles present in every atom that function as the main conduits for electrical current in solid materials.

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