1. The population of a town was 500 in 2010. The population grows at a rate of 9.6% annually.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.

(a) Estimate the population of the town in 2020. Show your work.

2. Convert the following single log statements into 5 log statements separated by + and – signs.

Log (a3b4)/(6cd) )

NOTE: You must show this in at least two steps.

1st line should be to convert the 3 and the 4 only.

2nd line can be the final answer.

NOTE: 6cd is all in the denominator.

3.

1. A savings account is started with an initial deposit of $3000. The account earns 9% interest compounded annually.

(a) Write an equation to represent the amount of money in the account as a function of time in years.

(b) Find the amount of time it takes for the account balance to reach 1 million. Show your work.

Note: 1 million is a 1 with 6 zeros. Note2: you must use log functions to solve.

(Ive been sick, and havent been to school so i have no idea how to do this, and i have like 20 other assignments i need to do. ;-; thank you for any help)

Guest May 4, 2021