The interest rate will be equal to 24% in 2 years.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that:-
- Find the interest rate if $32 increased to $50 in 2 years.
The interest rate will be calculated by using the following formula:-
![A = P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
![50=32[1+\dfrac{r}{1}]^{2}](https://tex.z-dn.net/?f=50%3D32%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7B2%7D)
1.56 = ( 1 + r )²
√1.56 = ( 1 + r )
r = 1.24 - 1
r = 0.24
r = 24%
Therefore interest rate will be equal to 24% in 2 years.
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-15 is the answer. the ( . ) represents multiplying
Hello,
The first step is to see that sides OA, OC, OB are all equal because they are the radii of the circle. Knowing that those sides are equal means that we have isosceles triangles. That gives us that the base angles are the same.
In OAC, we can subtract 118 from 180 to give us 62 degrees for the 2 bases angles. This would make each angle 31 degrees.
In OBC, the base angles are already 31, leaving the other angle 118.
There we have all the angles the same and 2 sides the same.
You could use SAS or ASA to prove that the triangles are congruent.
I hope this helps!
Good luck,
MrEquation
