Step-by-step explanation:
so the infinite series is
a + ar + ar^2 + ar^3....
= a(1 + r + r^2 + r^3...)
= a(1 + r(1 + r + r^2 + r^3...))
ignore the a for a second
imagine it's 1
we call this sum S
S = 1 + r(1 + r + r^2 + r^3...)
S = 1 + rS
S - rS = 1
S(1 - r) = 1
S = 1/(1-r)
and the difference for that series is every term is multiplied by a
or S = a/(1-r)
Answer:
L=29ft
W=15ft
Step-by-step explanation:
Step one:
given
let the width be x
W=x
L= x+14
P= 88ft
perimeter= 2L+2W
so, substituting our data we have
88=2(x+14)+2x
88=2x+28+2x
collect like terms
88=4x+28
88-28=4x
60=4x
divide both sides by 4
x=60/4
x=15
Step two:
the dimensions are
the width is 15ft
the length= 15+14
L=29ft
Answer: x=4
Step-by-step explanation:
Simplify the left side of 9x-3x-5=19 by combining like terms:
6x-5=19
Add 5 to both sides:
(6x-5)+5=19+5
Simplify:
6x=24
Divide both sides by 6:
(6x)/6=24/6
Simplify:
x=4
Answer:
Part A: 12 plus x, the x being how much money he made on Sunday.
Part B: 2 plus x times 2
Step-by-step explanation:
1/27
Cuz y=3^(-3)=1/(3^3)=1/27