Answer:
23 days
Step-by-step explanation:
Given that the mass of a particular substance is known to grow exponentially at a rate of 1.5% per day
Initial mass = [tex]230 gm[/tex]
After t days, mass = [tex]325 gm[/tex]
The equation is
[tex]P(t) = 325 = 230 (1+\frac{1.5}{100} )^t\\\frac{325}{230} =1.015^t\\log 1.413 = t log 1.015\\t = \frac{log 1.413}{log 1.015} =\frac{0.1502}{0.0065} \\=23.229[/tex]
Approximately after 23 days the mass will become 325 gms.
