Answer:
1. Draw out a diagram as a triangle with one side as the 5' rise, the other side as the horizontal run, and the hypotenuse as the ramp.
2. Put the 5 ° in as the angle between the run and the ramp.
3. Let the run = x. Using trigonometry (needed!) the tangent angle (tan) of 5° = opposite/adjacent = 5/x.
4. So x = 5/tan(5°). you will need a scientific calculator to solve.
Answer:
X= 25.65 + 16.5 - 12.45
X=29.70
Step-by-step explanation:
Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28
