Independence Day, commonly known as the Fourth of July, is a federal holiday in the United States commemorating the adoption of the Declaration of Independence on July 4, 1776, declaring independence from the Kingdom of Great Britain.
Answer:
a) 5151 b) 249001 c)24651 d)43561
Step-by-step explanation:
a) a1=1 a2=2
d=a2-a1= 2-1=1
Define the quantity of the terms of this sequence
an=a1+d(n-1)
101= 1+ 1(n-1)
n=101
Sn= (a1+an)/2*n=( (1+101)/2)*101=51*101=5151
b) a1=1 a2=3
d=a2-a1=3-1=2
an=a1+d(n-1)
997= 1+ 2(n-1)
498= n-1
n=499
Sn= (a1+an)/2*n= (1+997)/2*499= 249001
c) a1=4 a2=9
d=a2-a1=9-4=5
an=a1+d(n-1)
494=4+5(n-1)
n=99
Sn= (a1+an)/2*n=( 4+494) /2*99= 498/2*99= 249*99= 24651
d) a1=881, a2=872
d=a2-a1= 872-881=-9
an= a1+d(n-1)
8=881-9*(n-1)
9(n-1)= 873
n=98
Sn= (a1+an)/2*n= (881+8)/2*98= 889*49= 43561
Answer:
Option (C)
Step-by-step explanation:
Since angle 'a' is the inscribed angle of the given triangle
Therefore, angle measure of the intercepted arc will be equal to the double of the inscribed angle.
x = 2a ⇒ a =
By the tangent-chord theorem,
"Angle between a chord and tangent measure the half of the angle measure of intercepted minor arc"
= 40°
Therefore, a = = 40°
Option (C) will be the answer.
Answer:
x = 60
Step-by-step explanation:
The 60° angle and angle x both have 2 marks, so they are congruent.
x = 60
PV = P(1 - (1 + r)^-n) / r; where P is the periodic withdrawal = $100,000; r = rate = 5% = 0.05; n = number of periods = 20 years.
PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000