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Zinaida [17]
3 years ago
9

The population of bacteria in a certain culture can be modeled by the function P(t)=10000(1.03)^t. What is the initial populatio

n of bacteria in the culture?

Mathematics
2 answers:
Nonamiya [84]3 years ago
7 0

Answer:

The initial population of bacteria in the culture is 10000

Step-by-step explanation:

The initial population simply means , the population at t =0. I am assuming t is the time variable. We simply substitute t =0 in the right hand side of the equation to obtain P(0) = 10000

Natalka [10]3 years ago
7 0

Answer: 10000

Step-by-step explanation:

Here, the function that shows the population of bacteria after t years is,

f(t) = 10000(1.03)^t

Initially, time = 0

That is, t = 0 year,

Thus, for 0 year the number of bacteria,

⇒ f(0) = 10000(1.03)^0 = 10000(1) = 10000

Hence, the initial population of the bacteria is 10000.

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3 years ago
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5 0
4 years ago
A sum of $9, 000 paid into a bank account for two months (61 days) to attract simple interest will produce $9, 020 at the and of
Juliette [100K]

Answer:

Rate of interest will be 1.33 %

Return on this investment = =\frac{9020-9000}{9000}=0.222 %

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We have given principle amount P = $9000

Time = 61 days = \frac{61}{365}=0.167\ years

We have to find the rate of interest

Total amount produce at the end of term = $9020

So interest = $9020 - $9000 = $20

We know that simple interest =\frac{principle\ amount\times rate\times\ time}{100}

20=\frac{9000\times rate\times\\ 0.167}{100}

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