A quantity with an initial value of 830 grows exponentially at a rate such that the quantity doubles every 2 weeks. What is the value of the quantity after 21 day, to the nearest hundredth?

The value of the quantity after 21 days is 2,347.59.

Step-by-step explanation:

The exponential growth function is

A= The number of quantity after t days

= initial number of quantity

r= rate of growth

t= time in days.

A quantity with an initial value of 830 grows at a rate such that the quantity doubles in 2 weeks = 14 days.

Now A= (2×830)= 1660

= 830

t = 14 days

r=?

Now plug all value in exponential growth function

Now, to find the quantity after 21 days, we plug = 830, t= 21 days in exponential function

The value of the quantity after 21 days is 2,347.59.