Understanding exponential and logarithmic functions

You invest $700 at 4.3% compounded quarterly. Find the value after 8 years.

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

The population, p, of Algebraville is 5,400 and grows each year by 4%. Write an equation that models the population after x number of years.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

• 12,800

• 15,777

• 102, 475

• 2,500

Select the all statements below that are TRUE.

• C is DECREASING LINEAR

• B is EXPONENTIAL DECAY

• C has CONSTANT RATE OF CHANGE

• A has VARIABLE RATE OF CHANGE

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. How much bacteria will be present after 8 years?

• 288.24

• 400.25

• 3918.71

• 40786.53

Semi-Annually means how many times a year?

• 4

• 2

• 1

• 6

An initial investment of $480 earns interest for 7 years in an account that earns 13% interest, compounded quarterly. Find the amount of money in the account at the end of the 7 year period. Use the attached formula.

• $1138.34

• $1129.25

• $1175.34

• $695.340

The Arnold's took out a loan for $195,000 to purchase a home. At 4.3% interest rate compounded annually, how much will they have paid after 30 years?

• $412,749.79

• $689,546.99

• $529.305.61

• $640,891.53

Here at Middleburg HS, more and more students are getting onboard with destroying the restrooms out by the math portables. I mean, if I can't go to Tinkletown, nobody can go!

The problem first began in 1998 and has continued to grow at a rate of 10% each year. If there were 12 students that started this problem in 1998, how many students would we expect to be onboard with destroying the restrooms in 2023? (Round to the nearest whole number)