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11111nata11111 [884]
3 years ago
6

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?
Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

10,962,54

Step-by-step 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

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