Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
Answer:
0.2682 or 26.82%
Step-by-step explanation:
The monthly interest rate (r) that your friend is willing to pay is:

The following expression converts a monthly interest rate (r) into an annual interest rate (i):
![r=\sqrt[12]{1+i}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B12%5D%7B1%2Bi%7D-1)
For r = 0.02:
![0.02=\sqrt[12]{1+i}-1 \\1.02^{12}-1=i\\i=0.2682](https://tex.z-dn.net/?f=0.02%3D%5Csqrt%5B12%5D%7B1%2Bi%7D-1%20%5C%5C1.02%5E%7B12%7D-1%3Di%5C%5Ci%3D0.2682)
Your friend is willing to pay an annual rate of 0.2682 or 26.82%.