You purchased a new car. The car had a list price of $25,146. You are paying 7.22% interest compounded monthly over a payment period of FIVE years. If you also had to pay 7.53% sales tax, a $660 vehicle registration fee, and an $75 documentation fee, what is your monthly payment? fraction numerator P left parenthesis r over 12 right parenthesis over denominator 1 minus left parenthesis 1 plus begin display style r over 12 end style right parenthesis to the power of left parenthesis negative 12 t right parenthesis end exponent end fraction

He amount of carbon-14 present in animal bones t years after the animal's death is given by p(t)equals=upper p 0 e superscript negative 0.00012097 tp0e−0.00012097t. how old is an ivory tusk that has lost 26% of its carbon-14?

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.

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.