The population loses \dfrac 14
4
1
​ start fraction, 1, divided by, 4, end fraction of its size every 444444 seconds. The number of remaining bacteria can be modeled by a function, N, which depends on the amount of time, t (in seconds).
Before the medicine was introduced, there were 11{,}88011,88011, comma, 880 bacteria in the Petri dish.
Write a function that models the number of remaining bacteria t seconds since the medicine was introduced.
N(t) =

Function:  

Step-by-step explanation:

The population loses 1/4th every 4 seconds, amount of original.

Initial amount of bacteria was 11,880

1/4 = 0.25

Looses 0.25 so that means 1 - 0.25 = 0.75 remaining of total every 4 seconds

We can model using exponential equation of the form:

Where

C is the initial amount (given as 11,880)

I is the remaining factor, we found to be 0.75

n is the seconds it takes to go to 0.75 of its original, n = 4 because it is given in 4 seconds

Now, substituting, we find the equation:

Function:  

Step-by-step explanation:

The population loses 1/4th every 4 seconds, amount of original.

Initial amount of bacteria was 11,880

1/4 = 0.25

Looses 0.25 so that means 1 - 0.25 = 0.75 remaining of total every 4 seconds

We can model using exponential equation of the form:

Where

C is the initial amount (given as 11,880)

I is the remaining factor, we found to be 0.75

n is the seconds it takes to go to 0.75 of its original, n = 4 because it is given in 4 seconds

Now, substituting, we find the equation:

The answer is in the image 

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students