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
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Answer:
A. x² -4
B. 2x² +8
Step-by-step explanation:
The area of a square is the square of the side lengths. That means the area of each large square is x², since it has a side length of x.
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A. The area of 4 small squares is subtracted from the area of the large square to find the shaded area:
x² -4×1² = x² -4 . . . area of Figure A
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B. The area of two small squares is added to the area of two large squares to find the shaded area:
2x² +2×2² = 2x² +8 . . . area of Figure B
Answer:
yeah im making A new sidewalk into hell
Step-by-step explanation:
On your first spin the chance is 1/2. The same goes for your second spin, but the chance of getting two consecutive even numbers is 1/2 x 1/2.
So the answer is 1/4.