5. The number of users on a social networking site was 45 thousand in February when they officially went public, and grew to 60 thousand by October. If the site is growing exponentially, and growth continues at the same rate, how many users should they expect two years after they went public?

If the world's population increased exponentially from 6.081 billion in 2000 to 7.504 billion in 2018 and continued to increase at the same percentage rate from 2018 to 2021, calculate to 2 decimal places what the world's population would have been in 2021.

Over the past 10 years (actually, 2007 to 2017), it is estimated that the population of China has increased from 1.318 billion to 1.386 billion people, whereas the population of India has increased from 1.18 to 1.339 people. If both countries continued to grow at these rates, will China or India have the greater population in 2027? Show your calculations below.

A Northwest Airlines ticket counter forecasts that 40 people per hour will need to check in. It takes an average of 1.2 minutes to services a customer. Assume that interarrival times and  service times are exponential and that all customers wait in a single line for the first avaliable agent. If we want the average time a customer spends in line and in service to be 4 minutes or less, how many ticket agents should be on duty?

This problem has two parts. Part 1: In 2033, a virus begins in Memphis and spreads in such that the number N of people infected grows exponentially with time t. The table below shows how many days it takes from initial outbreak to have various numbers of cases. N= # of cases # of days 2 million 127 3 million 155 1 million t 79 How many days until the Memphis virus infects five million people? How many days until there are ten million people infected by the Memphis virus?

If a country with a growth rate of 2.8% can double its population size in 24 years, then how long would it take to double the population size with a growth rate of 5.6%?

In October 2005, a company employs 11000 people and its total monthly wage bill is 11 million dollars. What is the average monthly wage of the company's employees?   Average monthly wage :  ___dollars. The company is growing at a rate of 10 employees per month. The total monthly wage bill is increasing at a rate of 260 thousand dollars per month. At what rate is the average monthly wage changing at this time? Give your answer correct to the nearest cent per month.   Rate of change: ___ dollars per month. You should be careful over the units in this question. Hint: write the total monthly wage bill as the function f (t) and the number of employees as the function g (t). What is the average monthly wage in terms of the functions f and g?

The world’s total consumption of natural gas was 1824 million tons oil equivalent (mtoe) in 1994. The reserves at the end of that year were estimated to be 128 300 mtoe. If consumption had increased by 2% in each of the coming years, and no new sources were ever discovered, how much longer would these reserves have lasted?

a plant has a 200 horsepower that works cpnsstatnly for 3000 hours per year. it is using a drive motor with an efficiency of 84.3%.  The motor has reached its life span, and needs to be changed.  A new one will cost $1,100.  A motor with an efficiency of 86.3% will cost $13,000 and the installation of the motor will be $1,200. Both motors will last for 20 years but then would need a new one Find the annual savings when it comes to replacing the old compressor with the more efficient compressor.

Due to unavoidable wear and tear, the output from an aging packaging machine is expected to decrease by 2%, 5%, and 8% in each of the next three years, respectively. If the current output of the machine is 8,525 units per hour, what will be its output at the end of the three-year period? (Round your answer to the nearest whole number.) Output of the machine units per hour