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Chapter 10: Q. 120 (page 1020)

A biologist is observing the growth pattern of a virus. She starts with 50of the virus that grows at a rate of 20%per hour. She will check on the virus in 24hours. How many viruses will she find?

Short Answer

Expert verified

She will find6076virus in24hours.

Step by step solution

01

Step 1 The formula for the compounded continuously is,

A=Pert

where Ais the new balance.

Pis the principal.

ris the interest rate.

tis the number of years.

02

Step 2 Substitute P=50,r=0.2,t=24 in the formula.

A=50e0.2(24)=50e4.8鈮�6076

Therefore, she will find 6076virus in 24hours.

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