Question

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?

Answer 1

Answer:

Step-by-step 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

Answer 2

Answer:

$N=2.1990232556 \times 10^{13}$

Step-by-step 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

$N=5(2)^{42}$

$N=2.1990232556 \times 10^{13}$

Thus there will be $2.1990232556 \times 10^{13}$ bacteria after 42 months.