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
Yes, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.
<h3>What is inequality?</h3>
Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
For 35 long haired and 40 short haired member.
Put this values in the given equation.
For water 70L+60S < 5600
70 x 35 + 60 x 40
2450+2400
4850 <5600
inequality holds
For shampoo 0.02L+0.01S ≤ 1.50
0.02 x 35 + 0.01 x 40
0.7 + 0.4
1.1 < 1.50
inequality holds
Thus, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.
Learn more about inequality here:
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Answer:
3 and 2
Step-by-step explanation:
3 x 2 = 6
3 + 2 = 5
9514 1404 393
Answer:
Step-by-step explanation:
Side lengths in an isosceles right triangle have the reduced ratios ...
1 : 1 : √2
Yours have the ratios ...
9 : x : y
If you multiply the reduced ratios by 9, you can find the values of x and y.
9 : 9 : 9√2 = 9 : x : y
x = 9
y = 9√2
