Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
Answer:
12
Step-by-step explanation:
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2
Answer:
$85.174
Step-by-step explanation:
Data provided in the question;
Treasury bond = $2000
Interest rate = 3.7%
Quoted at 115.1 points or 1.151%
Therefore,
the price of the bond = 1.151 × $2000
or
the price of the bond = $2,302
Thus,
the annual interest = Price of the bond × rate
or
the price of the bond = $2,302 × 0.037 = $85.174
Hence, the annual interest in $85.174
(15,1) (14,6)
6-1 5
—— = —
14-15 -1