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Account Balance using partial derivative

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Let B(r,t) compute the balance (in dollars) of account after t years with an r% interest rate.

a) What are the units of dB/dr? (dB/dr is in partials notation)

b) Give a real world interpretation of dB/dr evaluated at (5,10) = 56.

c) If B(5,10) = 5000 and dB/dt evaluated at (5,10) = 165, estimate B(4,11). (dB/dt is partials notation)

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Compute balance (in $) of account t years with r% interest. The concept of partial derivative is involved.

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Let B(r,t) compute the balance (in dollars) of account after t years with an r% interest rate.

a) What are the units of dB/dr? (dB/dr is in partials notation)

dB/dr is in $ / % (dollars per unit ...

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