Question

A quantity with an initial value of 590 decays continuously at a rate of 55% per year. What is the value of the quantity after 21 months, to the nearest hundredth?

Answer 1

\approx 225.34

≈225.34

Explanation:

Answer 2

22.13

Explanation:

Given that :

Initial quantity = 590

Decay rate = 55% per year

Value of the quantity after 21 months to the nearest hundredth

If decât rate per year = 55%

Monthly rate of Decay = 55% / 12 = 0.0458333

Hence, quantity after 21 months :

Initial amount - (Initial amount * 21(monthly Decay rate))

590 - (590 * 21(0.0458333))

590 - 567.874587

= 22.125413

= 22.13 (nearest hundredth)