Question

A quantity with an initial value of 9100 grows continuously at a rate of 0.85% per hour. What is the value of the quantity after 22 hours, to the nearest hundredth?

Answer 1

Answer:17050289.61

Explanation:

Answer 2

`10,962,54`

Explanation:

we know that

The equation of a exponential growth is equal to

`y=a(1+r)^x`

where

a is the initial value

r is the rate of growth

x is the time in hours

y is the value of the quantity

we have

`a=9,100\\r=0.85\%=0.85/100=0.0085`

substitute

`y=9,100(1+0.0085)^x`

`y=9,100(1..0085)^x`

For x=22 hours

substitute

`y=9,100(1..0085)^(22) =10,962,54`