A study is done on the number of bacteria cells in a petri dish. Suppose that the population size P() after I hours is given by the following exponential function.
P (t) = 1600(1.04)'
Find the initial population size.
0
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each hour?
Х
5 ?

1600

growth

4%

Step-by-step explanation:

To solve this question, you must know what the equation really means.

P = population

t = time

1600 = initial population size

1.04 = is the percentage growth, (growth because it is greater than 1.)

So, the initial population size is 1600.

It is growth because the percentage is greater than 1.

(1.04 = 104%, 104%-100%=4%)

The population changes by 4%

a. 19,958,400

step-by-step explanation:

hope this

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: