Answer:
21%
Step-by-step explanation:
210 is 10.5% of the amount that is for 6 months doubling it will make it 420 that is 21% of the total amount of 2000.
0 = 0
Simplifying
7x + -11 = 5(x + -2) + 2x + -1
Reorder the terms:
-11 + 7x = 5(x + -2) + 2x + -1
Reorder the terms:
-11 + 7x = 5(-2 + x) + 2x + -1
-11 + 7x = (-2 * 5 + x * 5) + 2x + -1
-11 + 7x = (-10 + 5x) + 2x + -1
Reorder the terms:
-11 + 7x = -10 + -1 + 5x + 2x
Combine like terms: -10 + -1 = -11
-11 + 7x = -11 + 5x + 2x
Combine like terms: 5x + 2x = 7x
-11 + 7x = -11 + 7x
Add '11' to each side of the equation.
-11 + 11 + 7x = -11 + 11 + 7x
Combine like terms: -11 + 11 = 0
0 + 7x = -11 + 11 + 7x
7x = -11 + 11 + 7x
Combine like terms: -11 + 11 = 0
7x = 0 + 7x
7x = 7x
Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x
Combine like terms: 7x + -7x = 0
0 = 7x + -7x
Combine like terms: 7x + -7x = 0
0 = 0
Solving
0 = 0
Answer:
1/5, 1/6, 1/7, 1/8
Step-by-step explanation:
The formula for the sequence is (n+3)!/ (n+4)!
The first terms uses n=1
a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5
The first terms uses n=2
a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6
The first terms uses n=3
a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7
The first terms uses n=4
a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8
45 = 90% * x
45 = .90x
45/.90 = x
x = 50
45 is 90% of 50