Answer:
3.2 years.
Step-by-step explanation:
We are asked to find the number of years it will take an amount of $6,000 to be $8,000 compounded continuously at an annual rate of 9%.
We will use continuous compound interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
e = Mathematical constant,
r = Interest rate in decimal form,
t = Time in years.
Switch the sides:
Now, we will take natural log of both sides.
Therefore, it take approximately 3.2 years for the amount of $6,000 to be $8,000.
ABC is a equilateral triangle .
Proof :-
Let's assume both circles as C1 and C2 [ as shown in the figure ]
AC is the radius of circle C1.
BC is the radius of circle C2 .
AB and AC both are radius of circle C1 so both are equal ie AB = AC .
AB and BC both are radius of circle C 2 so both are equal ie AB = BC .
Hence we conclude that .
AB = BC = AC.
So the triangle is equilateral triangle.
