Suppose an investor builds a stock portfolio with a variety of shares in various high tech companies. the value of the stock portfolio is modeled by the function y = 2x^2 - 20x + 100, where y is the value of the portfolio in hundreds of dollars, and x is the time in months. a) find the x-coordinate of the vertex. show all work leading to your answer and write the answer in simplest form. b) find the y-coordinate of the vertex. show all work leading to your answer and write the answer in simplest form. c) what does the vertex represent for this situation? write 1 - 2 sentences to explain your answer.

Step-by-step explanation:

We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.

Here a = 2, b = -20 and c = 100.  Then the x-coordinate of the vertex is at

x = -(-20) / (2*2), or x = 5.

Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex.  It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50.  y = 50.

The vertex is at (5, 50).  This states that the stock reaches its minimum value, $50 per share), after 5 months.  From that time on, the stock appreciates (increases) in value.

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation:

current in the circuit at time t is /, then the power delivered to the resistor is

step-by-step explanation: