The formula for compounded continuously is :
Here the Amount triples , so let us say the new amount A=3P
Cancelling P from both sides we get,
Now here we are given rate is 2.75% or 0.0275,
solving for t we get
t=39.95 years
Answer:no
Step-by-step explanation:
Because if he got 2 and the other boy got 4 then the other boy had 2 more that he did
The population will reach 540 000 in 30.8 yr.
The formula for population growth is
<em>P</em>_<em>t</em> = <em>P</em>_0 × e^(<em>rt</em>)
540 000 = 270 000 × e^(0.0225t)
e^(0.0225t) = 2
0.0225t = ln2
t = (ln2)/0.0225 = 30.8
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
