Answer:
x = 15
Step-by-step explanation:
<span>Simplifying
8k + 2m = 3m + k
Reorder the terms:
8k + 2m = k + 3m
Solving
8k + 2m = k + 3m
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-1k' to each side of the equation.
8k + -1k + 2m = k + -1k + 3m
Combine like terms: 8k + -1k = 7k
7k + 2m = k + -1k + 3m
Combine like terms: k + -1k = 0
7k + 2m = 0 + 3m
7k + 2m = 3m
Add '-2m' to each side of the equation.
7k + 2m + -2m = 3m + -2m
Combine like terms: 2m + -2m = 0
7k + 0 = 3m + -2m
7k = 3m + -2m
Combine like terms: 3m + -2m = 1m
7k = 1m
Divide each side by '7'.
k = 0.1428571429m
Simplifying
k = 0.1428571429m</span>
Answer:
Step-by-step explanation:
Given
Geometric Sequence (GP)
Required
Determine T₁₂
The nth term of a GP is calculated as thus;
In this case;
; and 
Substitute these values in the above formula
Open the bracket
<em>Hence, the 12th term of the sequence is </em>
Answer:
2 months
Step-by-step explanation:
$80 x 0.5 = $40
$80 + $40 = $120
$120 * 0.25 = $30
1st month - $120-$30 = $90
2nd month - $90-$22.5 = $67.5
