AP Calculus ABeasymcq1 pt

A savings account balance BB earns interest continuously at an annual rate of 2.5%2.5\%. Which differential equation models the balance, where tt is measured in years?

A.dBdt=0.025B\dfrac{dB}{dt} = 0.025B
B.dBdt=0.025\dfrac{dB}{dt} = 0.025
C.dBdt=2.5B\dfrac{dB}{dt} = 2.5B
D.dBdt=0.025t\dfrac{dB}{dt} = 0.025t

Explanation

Core Concept

Continuous interest compounds in proportion to the balance, with the decimal rate 0.0250.025 as the constant of proportionality.

Correct Answer

AdBdt=0.025B\dfrac{dB}{dt} = 0.025B

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