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Lilit [14]
3 years ago
13

The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. fi

nd the count of the bacteria at the end of 22 hours.
DONT ADD ANY LINK PLEASE I WILL REPORT AND PLEASE ANSWER CORRECTLY AND FAST I WILL MARK BRAINLIEST
Mathematics
1 answer:
krok68 [10]3 years ago
5 0
The bacteria at the end of 22 hours is 2,480
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Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu
kakasveta [241]

Step-by-step explanation:

  • Natalie has $5000
  • She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

  • continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}

or

P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}

Here,

i = interest rate

= number of compounding periods

t = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, n, becomes infinitely large.

Therefore, the formula as we discussed above would become:

                                        P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

Part c) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₂ =\:6107.02 $

So, Natalie will have \:6107.02 $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₁₀ =13.597.50 $

So, Natalie will have 13.597.50 $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

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3 years ago
A bag contains 35 marbles, 11 of which are red. A marble is randomly selected from the bag, and it is blue. This blue marble is
Ilia_Sergeevich [38]

Answer:

11 red + 24 blue = 35 marbles

If 1 blue is withdrawn

11 red + 23 blue = 34 marbles

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10 x 200 is how many tens
melisa1 [442]
10 x 200 is 2000
therefore there are 200 tens .
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