A bacteria with an initial size of 180in2 grows by 27% every minute. What will the size of the bacteria be after 8hours

The size of the bacteria after 8 hours will be of squared inches.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

In which F(0) is the initial value and F is the growth rate.

A bacteria with an initial size of 180in2 grows by 27% every minute.

This means that . So

In which t is measured in minutes,

What will the size of the bacteria be after 8hours

8 hours has 8*60 = 480 minutes, so this is F(480).

The size of the bacteria after 8 hours will be of squared inches.

The answer is in the image 

The answer is in the image 

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

The solution is given below