Expected Value — Cumulative exam Answers

A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

Which function has a domain of and a range of ?

Which function has a horizontal asymptote of y = 3?

For what values of x does ?

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

Which expression is equivalent to the following complex fraction?

The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

If y is a positive integer, for how many different values of y is a whole number?

What is the following product? Assume

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

Which geometric series diverges?

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

Which of the following shows the extraneous solution to the logarithmic equation below?

What is the product?

Which graph shows the solution to the equation below?