Fred Myers bought a home with a 13% adjustable rate mortgage for 20 years. He paid $11.72 monthly per thousand on his original loan. At the end of 2 years he owes the bank $60,000. Since interest rates have decreased to 10%, the bank
will renew the mortgage at this rate, or Fred can pay the bank $60,000. He decides to renew and will now pay $9.66
monthly per thousand on his loan. (You can ignore the small amount of principal paid during the 2 years.)
What was the old monthly payment?
What is the new monthly payment?
What is the percent decrease in his monthly payment to the nearest tenth)?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Suppose that a households monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, hcf). when graphed, the function gives a line with slope of 1.65. if the monthly cost for 13 hcf is $46.10 what is the monthly cost for 19 hcf?

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?