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:
This means: there is correlation between their pay and the occurrence of a full moon.
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Answer:
First choice. 36/100 or 36%.
Step-by-step explanation:
Total # of squares:
10 × 10 = 100 squares.
# of squares shaded:
6 × 6 = 36 squares.
shaded/total to find the percent shaded:
Fraction: 36/100
Percentage: 36/100 × 100 = 36%.
Answer:
104 mins, 468 mins
Step-by-step explanation:
Let the time spent on puppy videos = 2x
Where x is the number of weekends.
Time spent on regular TV = 9x.
So total time spent is 572 mins
i.e 2x + 9x = 572
i.e 11x = 572
So x = 52.
So time spent on puppy videos = 2 X 52
= 104 mins
So time spent on puppy videos = 9 X 52
= 468 mins.
Answer:
3/4
Area of the small triangle/Area of larger triangle=3/4
Area of the small triangle/Area of larger triangle=(1/2×base of small triangle×length)/(1/2×base of larger triangle×height)
3/4=(1/2×base of small triangle×height)/(1/2×base of larger triangle×height)
Since the length of the triangle are equal the base ratio of the two triangles is the same as area ratio.
