Question

a quantity with an initial valuve of 390 decays continuously at a rate of 5% per decade what is the value of the quantity after 51 years to the nearest hundredth. please help

Answer 1

Answer:

4695.90

Step-by-step explanation:

The exponential growth function is given as:

y = a(1 + r)^t

a = Initial value = 390

y = Value after time t = ?

r = Growth rate = 5% = 0.05

t = Time in years =51

Hence

y = 390(1 + 0.05)⁵¹

y = 4695.9002123

Approximately = 4695.90