Acredit card company offers a cash back program on transactions. for every transaction over $100 the customer gets $3 back. for every transaction $100 or less, the customer gets $1 back. the customer made 25 transactions in all and the total number of dollars given back was $29. write and solve a system of equations to find the number of transactions of each type.

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.

This is different from the first one can someone me

Asphere has a diameter of 10 in. what is the volume of the sphere?