You want to know about the population dynamics of the earthworms you plan to put into your compost bin. You get a shipment of 250 worms to put into your bin and you calculate that your bin size can support 2000 worms. The company tells you that they have a per capita birth rate of 0.6 and per capita death rate of 0.2. What will be the instantaneous rate of change in population size over time (include 3 decimal places)

ANSWER: The instantaneous rate change in population of the warm is 0.400 and it will take the worm 7.999yrs to fill the bin.

Explanations: instantaneous change rate of a population is the rate difference between the birth rates and death rate of that population.

STEP 1: FIND THE DAILY BIRTH INCREASE.

birth rate = 0.6

Population = 250

Number of days in a year = 365

Their Daly birth increase will be;

(0.6 ÷ 365) × 250 = 0.411

STEP2: FIND THE DAILY DEATH INCREASE;

Death rate = 0.2

Population = 250

Number of days in a year = 365

Their daily death increase will be;

(0.2 ÷ 365) × 250 = 0.137

STEP 3: THE CHANGE IN THEIR DAILY POPULATION:

daily birth - daily death

0.411 - 0.137 = 0.274

STEP4: FIND THE INSTANTENEOUS CHANGE RATE:

Daily change in population = 0.274

Number of days in a year = 365

Number of population = 250

(365 × 0.274) ÷ 250 = 0.400

Therefore the instantaneous rate of change in the worm population is 0.400

TO CALCULATE HOW LONG IT WILL TAKE THE BIN TO FILL

(0.400 × 2000) ÷ 0.274 = 2919.706 days

Which is 2919.796/365 = 7.999yrs.

Therefore it will take the bin 7.999 years for the worm to fill the bin

americans began to notice growing differences between the northern and southern sections of the country. there were more people living in cities in the north, which made it more urban. more people lived on farms in the south, which made it more rural. while many people were farmers in the northern states, there were now other ways to make a living, such as working in mechanical cotton gins factories manufacturing cloth, tools and other goods. people in the north supported high tariffs on goods imported from europe because the extra cost encouraged people to “buy american” instead. in the southern states, planters did not like tariffs because they sold most of their production to europe and bought their tools from there as well. southerners believed the protective tariff was something that only northern factory owners keep their profits high. so the southern politicians came up with an idea. they would opt out. they would simply ignore the protective tariff. it was ‘null and void’ in south carolina. the state would not collect the taxes on goods imported into south carolina, no matter what the president said they had to do. this decision led to the nullification crisis.

as in mitosis, dna replication occurs during interphase.   in meiosis, it occurs specifically in s phase of interphase 1.