A= P(1 + r) n (n to the power of)
<span>A= final balance </span>
<span>P= initial quantity </span>
<span>n= number of compounding periods </span>
<span>r= percentage interest rate </span>
<span>P= $200 </span>
<span>n= 9 years </span>
<span>r= 5%= 0.05 </span>
<span>=$200 (1 + 0.05)9 (power of) </span>
<span>=$310.26</span>
Because 3/6 is equal to 1/2.
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.
Answer:
60
Step-by-step explanation:
The sum of two interior angles in a triangles is equal to one exterior angle that is supplementary to the third interior angle
3x+4x = 10x - 45
7x = 10x - 45 transfer 45 to the other side of equation and subtract 7x from 10 10
45 = 10x - 7x
45 = 3x divide both sides by 3
15 = x angle B is 4*15 = 60
Let x be the length of each side of the nonagon. We then split up the nonagon into 9 congruent, isosceles triangles, each with base = x and height = 12. Then the area of each triangle is 1/2 • x • 12 = 6x, so the total area of the nonagon will be 9 • 6x = 54x.
To find x, we can use some facts from geometry and trigonometry.
• In any polygon, the sum of the measures of the exterior angles is 360°. So each of these exterior angles will measure 360°/9 = 40°.
• Exterior angles are supplementary to the interior angles. So each interior angle will measure 180° - 40° = 140°.
• Each of the 9 triangles are isosceles with base angles measuring half the interior angles of the nonagon, 140°/2 = 70°.
• Cut the triangle in half along the labeled inradius of the nonagon, which has length 12. In the resulting right triangle, we have
tan(70°) = 12 / (x/2)
and solving for x gives
tan(70°) = 24/x
x = 24/tan(70°)
x = 24 cot(70°) ≈ 8.7
Then the total area of the nonagon is
54x = 54 • 24 cot(70°) ≈ 471.7