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brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells. He wants to know how many there will be after 42 months?

2 Answers

3 votes

Answer:

Explanation:

Originally, there were only five bacterial cells. After one month, the amount of bacteria is doubled with ten bacteria. The growth is represented by the formula:

a42 = 5 x 2^1

After 42 months, the growth can be solved using this formula:

a42 = 5 x 2^42 just so you know my cuz help me shes good in this

User Jessica Nowak
by
8.0k points
5 votes

Answer:


N=2.1990232556 * 10^(13)

Explanation:

Given : Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells.

To Find: He wants to know how many there will be after 42 months?

Solution:

Since we are given that initially there were 5 bacterial cells.

Bacteria doubles every month

Let n denotes the number of months .

Function becomes :
N=N_0(2)^n


N_0 = initial amount

N = amount after n months

So,
N=5(2)^n

Substitute n = 42


N=5(2)^(42)


N=2.1990232556 * 10^(13)

Thus there will be
2.1990232556 * 10^(13) bacteria after 42 months.

User ClimbsRocks
by
8.3k points
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