3. (30 pts) your neighbors just had their first baby today and they are already planning to save for their child’s college education. they found an investment account with 6% apr compounded quarterly. they plan to make monthly deposits with the first deposit 1 months from today. if they plan to continue making monthly deposits until the child’s 18th birthday, what must be the monthly deposit amount to be able to withdraw $40,000 on each birthday from the 18th birthday through the 21st birthday. (note: they will make a last deposit on the date of the first withdrawal.)

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.

What expression is equivalent to 42x-56y

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4