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Response Details:
a certain business increase in value at a rate proportional to the square root of its current value. if this business was worth one million dollars two years ago and is worth 1.44 million dollars today, determine when it will be worth two million dollars.
N(t) = No .exp(rt)
t=0 ==> N(0) = No= 1 million dollars
t=2=> N(2) = 1. exp(2.r) = 1.44 million dollars today
exp(2.r) = 1.44 ==> 2.r = ln(1.44) ==> r = ln(1.44) /2 =0.182322
N(t) = No .exp(rt) ==> N(t) = 1 .exp(0.182322 t)
when
1 .exp(0.182322 t) = 2 million dollars ?
exp(0.182322 t) = 2 ==> 0.182322 t = ln(2) => t = ln(2)/ 0.182322= 3.80177
 4 years
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