These questions have to do with Applications of Logarithms please answer all the questions and show your work so it is easier to understand.

1)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

A sample of Fe-59 has a mass of 200 grams. If the half-life of Fe-59 is 45 days,how long will it take until only 10 grams of the original sample remains?

2)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

A sample of Fe-59 has a mass of 200 grams. If the half-life of Fe-59 is 45 days,how much of the sample will remain after 100 days?

3)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

If $1000 is deposited in an account yielding an annual interest rate of 10% compounded monthly,how much will be in the account after 30 years?

4)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

525 g of salt is placed in a jar of water. After 1 minute, 115 g of salt remains undissolved. In total, how longwill it take until only 20 g of salt is undissolved? Assume the salt decays exponentially.

5)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

y = 200 log(3x + 2) to model a coyote population after x years. Solve a logarithmic equation to determine when the population of coyotes will reach 300?

6)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

On January 1, 1991, the population of Saskatoon was 186000 and on January 1, 1998, the populationwas 206000. Assuming exponential growth, in which year will the population of Saskatoon be 250000?

7)When applicable round your answer to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

On January 1, 1986, the world's population was 5 billion, and on January 1, 1997, the world'spopulation was 6 billion. Assuming exponential growth, in what year will the world's population be 10 billion?

8)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg. What is the half-life of Br-82 if a 40.00 mg sample decays to 25.03 mg after 24 hours?

9)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

The function y = 75 - 25 log(2x + 1) to model the class average ona Pre-Calculus 30 test x months after the original test was taken. Solve a logarithmic equation to determinewhen the class average would be 60% (use 60 for 60%).

10)When necessary, round answers to the nearest hundredth. Make sure your answer contains units where applicable, such as 13.24mg.

If $1000 is deposited in an account yielding an annual interest rate of 10% compounded semi-annually,how much will be in the account after 30 years?