Question

The rate at which a chemical decomposes is increasing at a continuous 6.6 % % . What is the actual hourly percent increase

Answer 1

the actual hourly percent increase is 6.823 %

Explanation:

Given that data in the question;

rate chemical decomposes increasing continuously at 6.6 %,

r = 6.6% = 0.066

actual hourly percent increase = ?

Now,

hourly percent increase = (
`e^r` - 1 ) × 100%

we substitute

hourly percent increase = (
`e^{0.066` - 1 ) × 100%

hourly percent increase = ( 1.06823 - 1 ) × 100%

hourly percent increase = 0.06823 × 100%

hourly percent increase = 6.823 %

Therefore, the actual hourly percent increase is 6.823 %