Kirk's goal was to save $300 for a trip. In the first week, kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. The second week, Kirk saved $62 and another $41, but spent $2 for the bus and $44 for lunch.
a. How much money did kirk save in the first week? Use integers to solve
b. How much money did kirk save after 2 weeks ?
c. if kirk saves $150 in the third week, but spends $8, will he reach his goal of saving $300? Explain.

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.

For what value of (y) is 3^3/3^y =1/9

If f(x)=x+7 and g(x)=1/x what is (fog)(x)