Blog

State whether the given function is linear and constant, linear but not constant, or nonlinear.f(x) = -3x + 7

Solve the inequality.x2 – 9x + 20 > 0

Consider a pipe that flows through the ground floor and up to the second floor of house. 4 °C fresh water is pumped at a speed of 0.50 m/s through a 5.0 cm diameter pipe at the ground floor, under a pressure of 2.5 atm. What will be the pressure in a 4.0 cm diameter pipe at the second floor 6.0 m above. 

Challenge You are a U.S.-based currency speculator researching call options on the EUR. The currency spot exchange rate is 1.050 USD per 1 EUR. You find that the price of 1.100-strike calls with one-year remaining maturity is 0.05 USD per EUR. If the risk-free rate in USD is currently 5.00 percent and market estimate of the exchange rate’s volatility is 15.00 percent, what EUR risk-free rate is implied by the observed call price? Enter your answer as a percentage, rounded to the nearest 0.0001%.

A 12.2 m long rope is shaken up and down creating transverse waves which travel the length of the rope in a time of 2.00 seconds. The tension in the rope is 80.0 N. Calculate the mass of the rope.

An object is attached to the end of an ideal spring which has a spring constant of 105 N/m and is extended to 2.8 cm from it equilibrium position. What is the magnitude of the force (units: N) exerted by the spring? NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer

A horizontal pipe of 35 cm2 cross-sectional area carries water at a speed of 2.5 m/s. This pipe flows into a smaller pipe with a 18 cm2 cross-sectional area. Calculate the speed (units: m/s) of water flow in the smaller pipe. NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer

Suppose an investor wants to replicate a call option on the following stock and that the assumptions of the BSOPM are correct.The underlying stock’s price is $93.75 and the annualized volatility of its log-returns is 57%. The option to be replicated has a strike price of $103.25 and a twelve-month maturity. The risk-free rate is currently 5.75% per year, continuously compounded. How much cash would the investor need to save or borrow to replicate the call?

A simple harmonic motion system consists of a small object attached to a light spring which oscillates with no damping on a smooth, horizontal surface. A graph of the x position of the object as a function of time is shown in the figure.  What is the amplitude of the motion?

There is a container with a rectangular window, the window dimensions are 0.101 m by 0.209 m. The container is filled with compressed gas which exerts a total force of 9.41 N perpendicular to the window surface.  Calculate the pressure (units: Pa) that the compressed gas exerts on the inside of the window.  NOTE: Watch correct use of rounding and significant figures Enter numerical answer in proper decimal format, not scientific notation Do not enter units with the answer