Question 1082254
You are given 2 points in the form ( t, f(t) )
where {{{ t }}} is the time in years since 2000
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The points are:
( 0, 35000 )
( 10, 50000 )
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{{{ f(t) = A[0]*e^(k*t) }}}
I can plug in the given points to 
find {{{ A[0] }}} and {{{ k }}}
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{{{ 35000 = A[0]*e^(k*0) }}}
{{{ 35000 = A[0]*1 }}}
{{{ A[0] = 35000 }}}
and
{{{ 50000 = A[0]*e^(k*10) }}}
{{{ 50000 = 35000*e^(k*10) }}}
{{{ e^(10k) = 10/7 }}}
Take the natural log of both sides
{{{ 10k = ln(10) - ln(7) }}}
{{{ 10k = 2.3026 - 1.9459 }}}
{{{ 10k = .3567 }}}
{{{ k = .03567 }}}
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The equation is 
{{{ f(t) = 35000*e^( .03567t ) }}}
check the math & get another
opinion if needed