An investment of 10,000 USD earns 5% per year for 10 years, compounded once …
An athlete with a mass of $70$ kg sprints at a constant velocity of …
A synthetic climbing rope stretches by $\Delta x = 0.5$ meters when subjected to …
A portfolio consists of two assets. Asset A has a weight of 60% and …
An investment of 10,000 USD earns 5% per year for 10 years using simple …
You travel 36 km in 60 minutes. Calculate average velocity in $m/s$.
An algorithmic trading strategy has a $40\%$ probability of generating a profit of $1000$ …
Portfolio A has a duration of 4.5 and a market value of 2,000,000 USD. …
A portfolio consists of two assets. The variances are 0.04 and 0.09. The covariance …
Water lilies double daily. Full after 100 days. When was it half full?
A mass is launched perfectly vertically upwards from the ground with an initial velocity …
A4 paper keeps ratio when folded in half. If long side is 1, what …
An initial capital is invested at a continuous compounding interest rate $r$. Provide the …
A portfolio has a value of 5,000,000 USD. The daily portfolio volatility is 1.6%. …
The price of a European call option is 12 USD. The stock price is …
A discrete stochastic process produces four possible states with probabilities $P(X) = \{\frac{1}{2}, \frac{1}{4}, …
Find the exact total volume: A cylinder ($r=3, h=6$) capped with a nose defined …
A mechanical oscillator consists of a mass $m = 5$ kg and a spring …
A particle with rest mass $m_0$ travels at a velocity of $v = \frac{\sqrt{3}}{2}c$, …
A bead slides frictionlessly under gravity $g$ down a cycloid curve defined parametrically by …
In a fully developed, steady laminar pipe flow (Hagen-Poiseuille), the radial velocity profile is …