(a) If $4,500 is invested at 1.55% interest, find the value (in dollars) of the investment at the end of 4 years if the interest

Question

(a) If $4,500 is invested at 1.55% interest, find the value (in dollars) of the investment at the end of 4 years if the interest is compounded as follows. (Round your answers to the nearest cent.)
(1) annually
$
() quarterly
$
() monthly.
$
(iv) weekly
$
(v) daily
$
(vi) continuously
$
(b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t). (Let A represent A(t).)
dA
dt
=
Find the initial condition satisfied by A(t).
A(0) =

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