SOLUTION: 1100/1+99e^-.3t=275

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Question 260505: 1100/1+99e^-.3t=275
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The original question is
(i) 1100%2F%281%2B99e%5E%28-.3t%29%29=275
step 1 - cross multiply to get
(ii) 1100+=+275%2A%281%2B99e%5E%28-.3t%29%29
step 2 - divide by 275 to get
(iii) 4+=+1+%2B+99e%5E%28-.3t%29
step 3 - subtract 1 to get
(iv) 3+=+99e%5E%28-.3t%29
step 4 - divide by 99 to get
(v) %281%2F33%29+=+e%5E%28-.3t%29
apply ln to both sdies to get
(vi) ln%281%2F33%29+=+-.3t
multiply by -1/.3 to get
(vii) %28-1%2F.3%29%2Aln%281%2F33%29+=+t
So,
t+=+11.655