Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that
, and thus:



Time for the balance to triple?
This is t for which
. So







It takes 22.52 years for the balance to triple in value.
1/8
3 divide by 3=1
24 divide by 3= 8
which gives you 1/8
Answer:
25
Step-by-step explanation:
I'm not really sure if this correct its just a guess but here goes.
So as 26x+5 is a vertically opposite angle. So the top angle would be 25x+5.
then we know angles in a triangle add up to 180 degrees so we would add all the angles together. 26x+5+6x-5+20=180. 26x+6x=32x. -5+5=0. 32x+20=180
180-20=160
140/32=5
6×5=30
30-5=25 so angle A is 25?
Please let me know if this is correct and if its not I'm sorry.
Answer:
5.833
Step-by-step explanation:
f(x) + n - shift a graph of f n units up
f(x) - n - shift a graph of f n units down
f(x + n) - shift a graph of f n units left
f(x - n) - shift a graph of f n units right.
f(x) = x³, g(x) = (x - 2)³ - 3 = f(x - 2) - 3
2 units right and 3 units down.