If $3,500 is invested at 1.85% interest, find the value (in dollars) of the investment at the end of 6 years if the inte

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If $3,500 is invested at 1.85% interest, find the value(in dollars) of the investment at the end of 6 years ifthe interest is compounded as follows. (Round your answers to thenearest cent.)
(i)
annually
$
(ii)
quarterly
$
(iii)
monthly
$
(iv)
weekly
$
(v)
daily
$
(vi)
continuously
$
(b)
If
A(t)
is the amount of the investment attime t for the case of continuous compounding,write a differential equation satisfied by
A(t).
(Let A represent A(t).)
=
Find the initial condition satisfied by
A(t).