Maria, a biologist, is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find? Round your answer to the nearest whole number.

Work Shown:

A = amount after t hours

P = initial amount = 100

r = growth rate in decimal form = 0.10

t = number of hours = 24

A = P*(1+r)^t

A = 100(1+0.10)^24

A = 100*(1.10)^24

A = 100*9.84973267580762

A = 984.973267580762

A = 985

Initial virus = 100 at 0.1/hr

100×0.1 = 10virus/ hr

24hrs=?virus

10 virus = 1hr

? = 24 hrs

The number of virus at 24hrs= 240virus ×hr/1 hr

=240 virus.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.