The population of a town can be modeled using the formula P=20,000e^0.02t , where t is the number of years after 2012 and P is the town's population. Which of the following equations can be used to find the number of years after 2012 that the population will double to 40,000?

t= ((ln*2)/(0.02)

Step-by-step explanation:

plug 40000 in for P and solve for t

40000=20000e^0.02t

-divide both sides by 20000: 2=e^0.02t

-in order to cancel out e, multiply both sides by the natural log (ln)

ln(2)=0.02t

-divide 0.02 on both sides to get t by its self

t = ((ln(2)/(0.02))

i have no clue at all sorry

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.