Apopulation of bacteria is growing according to the equation p ( t ) = 1050e^0.16t .

use a graphing calculator to estimate when the population will exceed 2337.

t = give your answer accurate to one decimal place

t must be greater than 5.0

Step-by-step explanation:

P ( t ) = 1050e^0.16t

We want P(t) > 2337

2337 <  1050e^0.16t

Divide each side by 1050

2337/1050<  1050/1050 e^0.16t

Take the natural log of each side

ln (2337/1050)) < ln(e^0.16t )

ln (2337/1050) < 0.16t

Divide by .16

ln (2337/1050)/.16 < 0.16/.16t

ln (2337/1050)/.16 < t

5.00049<t

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.