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
Answer:
15degrees
Step-by-step explanation:
From the given diagram
<1+<2 + <DCB = 180
<1+<2+120 = 180
<1+<2 = 180 - 120
<1+<2 = 60
<2 = 60 - <1
<2 = 60 - 45
<2 = 15degrees
Hence the measure <2 is 15degree
Answer:
Step-by-step explanation:
Answer:
The number of people living in both countries is 1.704 x 10⁹
Step-by-step explanation:
Given;
Population of people in China, = 1.381 x 10⁹
Population of people in united states, = 3.23 x 10⁸
The total number of people living in both countries is given as;
Total population = 1.381 x 10⁹ + 3.23 x 10⁸
Total population = 1.381 x 10⁹ + 0.323 x 10⁹
Total population = (1.381 + 0.323) x 10⁹
Total population = 1.704 x 10⁹
Therefore, the number of people living in both countries is 1.704 x 10⁹
