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Darya [45]
3 years ago
10

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

parameter of 1.5% per hour. How many hours does it take for the size of the sample to double
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

It will take 47 hours

Step-by-step explanation:

We can have the exponential function as follows;

P = I( 1 + r)^n

if the initial value was x , the final will be 2x

The change rate is 1.5% , which is r, this is same as;

1.5/100 = 0.015

So what we want to calculate is the n attached

This will be;

2x = x ( 1 + 0.015)^n

2 = 1.015^n

ln 2 = n ln 1.015

n = ln 2/ln 1.015

n = 46.55

This is approximately 47 hours

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Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
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n is the number of compounds per year =12
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Substitute to get the final amount:
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2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
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Hope this helps :)
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Step-by-step explanation:

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