Answered

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The function A = 120(105) represents the balance of a
bank account t years after opening it. By what
percentage does the balance increase each year?

Sagot :

Axel126

Answer:

There are 81,377,396 bacteria in the population after 4 hours. The population reaches 100 million bacteria after 244.12 minutes.

Step-by-step explanation:

Systems that exhibit exponential growth increase according to the mathematical model

y={y}_{0}{e}^{kt},

where {y}_{0} represents the initial state of the system and k>0 is a constant, called the growth constant.

We have f(t)=200{e}^{0.02t}. Then

f(300)=200{e}^{0.02(300)}\approx 80,686.

There are 80,686 bacteria in the population after 5 hours.

To find when the population reaches 100,000 bacteria, we solve the equation

The population reaches 100,000 bacteria after 310.73 minutes.

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