continuous exponential growth model

Question

The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. A sample increases continuously at a relative rate of 4% per day. Find the mass of the sample after five days if there were 75 grams of the substance present at the beginning of the study.

Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer 1

A = Pe^rt

A = 75e^0.04·5

A ≈ 91.6

Thus, the mass of the sample after 5 days is 91.6 grams.

Hope this helped!

Answer 2

M(t) = 75·1.04^t; M(5) = 75·1.04⁵ = 91.2 g