How long does it take for 900 to accumulate to 1000 under an interest rate of 4% per annum?
A=P(1+rt)A=P(1+rt)A=P(1+rt)
1000=900(1+0.04×t)1000=900(1+0.04×t)1000=900(1+0.04×t)
1000900=1+0.04t\frac{1000}{900}=1+0.04t9001000=1+0.04t
109−1=0.04t\frac{10}{9}-1=0.04t910−1=0.04t
19=0.04t\frac{1}{9}=0.04t91=0.04t
t=19÷0.04=2.78yearst=\frac{1}{9}÷0.04=2.78 yearst=91÷0.04=2.78years
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