A person deposits $10,000 in a bank account and decides to make additional deposits at the rate of A dollars per year. The bank compounds interest continuously at the annual rate of 6%, and the deposits are made continuously into the account.(a) Set up a differential equation that is satisfied by the amount f(t) in the account at time t.(b) Determine f(t) (as a function of A).(c) Determine A if the initial deposit is to double in 5 years.
A person deposits $10,000 in a bank account and decides to make additional deposits at the rate of A dollars per year. The bank compounds interest continuously at the annual rate of 6%, and the deposits are made continuously into the account.(a) Set up a differential equation that is satisfied by the amount f(t) in the account at time t.(b) Determine f(t) (as a function of A).(c) Determine A if the initial deposit is to double in 5 years.
A person deposits $10,000 in a bank account and decides to make additional deposits at the rate of A dollars per year. The bank compounds interest continuously at the annual rate of 6%, and the deposits are made continuously into the account.(a) Set up a differential equation that is satisfied by the amount f(t) in the account at time t.(b) Determine f(t) (as a function of A).(c) Determine A if the initial deposit is to double in 5 years.
A person deposits $10,000 in a bank account and decides to make additional deposits at the rate of A dollars per year. The bank compounds interest continuously at the annual rate of 6%, and the deposits are made continuously into the account. (a) Set up a differential equation that is satisfied by the amount f(t) in the account at time t. (b) Determine f(t) (as a function of A). (c) Determine A if the initial deposit is to double in 5 years.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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