This document describes the calculation of accelerations and velocities in an exercise where the initial velocity is 12,000 and the final velocity is 3,000. It shows that the acceleration is calculated as the minimum of 1/5 of the current velocity squared or the difference between the current and final velocities. This acceleration is then subtracted from the current velocity to calculate the next velocity, until the final velocity of 3,000 is reached after 5 iterations.
This document describes the calculation of accelerations and velocities in an exercise where the initial velocity is 12,000 and the final velocity is 3,000. It shows that the acceleration is calculated as the minimum of 1/5 of the current velocity squared or the difference between the current and final velocities. This acceleration is then subtracted from the current velocity to calculate the next velocity, until the final velocity of 3,000 is reached after 5 iterations.
This document calculates the price (P) of a bond that has a face value of 5000, a coupon rate of 6% yielding an annual coupon of 300, and is currently trading at 92.5% of face value resulting in a current price of 4625. It further calculates that there are 15 days of accrued interest since the last coupon payment using the formula f=number of days/360. The final price of the bond is 4637.50, which is the sum of the current price and the accrued interest.
The document shows a mathematical calculation to determine an interest rate of 5% on a loan amount of 12,988 over 5 years where the principal is 3000 and the future value is 4,329.33.
1. Exercice 28
On détermine les équations des deux frontières :
y=x (frontière en pointillés)
x=5
y=0
En dessinant un point dans le domaine grisé, par exemple (3 ;1), on
x>y
voit que x > y. Le système peut ainsi s’écrire x ≤ 5
y≥0