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pishuonlain [190]
3 years ago
11

A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during t

he 12th hour?
30,720
782,580
7,971,615
23,914,845
Mathematics
2 answers:
elixir [45]3 years ago
4 0
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Len [333]3 years ago
3 0

Answer:

30,720

Step-by-step explanation:

took the exam

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Answer:

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Step-by-step explanation:

.

7 0
3 years ago
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Anastaziya [24]
Can you translate this to English
6 0
3 years ago
Type the correct answer in the box. Round your answer to the hundredth.
sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

A=P e^{k*t}

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

3P = P e^{0.05 * t}

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

\frac{3P}{P} = \frac{P}{P}  e^{0.05 * t}

3 = e^{0.05 * t}

ln(3) = 0.05 * t

t = \frac{ln(3)}{0.05} = 21.972245... years

6 0
2 years ago
PLEASE ANSWER THIS IS THE THIRD TIME IVE POSTED THIS
zhannawk [14.2K]
I believe the answer is:

1 13889/25000

Give me a min if this one is wrong. "Thank" if i got it right
7 0
3 years ago
7x−2(x+3) =? also you have to simplify your answer
12345 [234]
7x-2(x+3)
=7x-2x-6
=5x-6
6 0
2 years ago
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