Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
The answer would be 4.5 or 4 1/2
Well to find the total sales you must substitute for the variable in the equation;
t = 68.95b
t = 68.95(31)
t = 2,137.45
So the total of the store's boot sales is;
$2,137.45
Taylor will earn $21 more in compounded interest than in simple interest.
Given:
Principal = 2100
interest rate = 1.85%
term = 8 years
Simple Interest = Principal * interest rate * term
= 2100 * 1.85% * 8
= 310.80
Compounded Interest = Principal * (1+r)^t
= 2100 * 1.0185⁸
= 2100 * 1.158
= 2431.80
Interest from Compounded Interest : 2431.80 - 2100 = 331.80
Simple Interest = 310.80
Compounded Interest = 331.80
331.80 - 310.80 = 21
