9 - 6 + 4 - 8/3 ..,
geometric series a(n) = a1r^(n-1)
r = a(n+1)/a(n)
-6/9 = -2/3
4/-6 = -2/3
-8/3/4 = -2/3
so r = -2/3 and a1 = 9
Sn = a1(1-r^n)/(1-r) = 9(1-(-2/3)^n)/(1-(-2/3))
n is infinite Sn = 9/(5/3) = 27/5
Answer:
The total saving =$ 176.64
Step-by-step explanation: let Maddie's saving amount be x.
Maddie spent = $76 maddie spent in percent = 43%
We know, 43% of x = $76 or, 0.43x = $76 or, x = $76/0.43 or, x = $176.74
total savings = $176.74
<span>Yes, she is reasoning correct, because:
6 1/4 and 2 3/4 are mixed fractions and you can substract them as it shown below:
1. You must substract the fractional parts (</span>which are: 1/4 and 3/4) of the mixed fractions. You can notice that the have the same denominator "4", so you only need write this denominaro and substract the numerators:
= (1-3)/4=-2/4
When you simplify the result, you obtain:
=-1/2
Now, you must sum the integer parts:
6-2=4
Finally, you obtain:
4 -1/2
Factor each equation into two linear binomials and set those binomial equal to zero separately and solve for x.
12in/1foot and 3feet/yard
or 12in = 1foot
3feet= 2Yard