Subtract 10 and collect terms to get the variable term by itself on the left.
... 4c = 24
Divide by the coefficient of the variable, 4.
... c = 6
The appropriate choice is the second one:
... 6
_____
You don't actually have to sove the equation to find the right answer. You just need to see which answer works.
-6: 5(-6) -(-6) +10 = -14 ≠ 34
6: 5(6) -(6) +10 = 34 . . . . . . . this answer works (you can stop here)
11: 5(11) -(11) +10 = 54 ≠ 34
-11: 5(-11) -(-11) +10 = -34 ≠ 34
Answer:
a) 1 / 10
b) $15/10 = $1.50
Step-by-step explanation:
This is a compound interest problem so you cannot use the simple interest formula. Effectively the total amount is being compounded each year by 6%. There is a formula for compound interest but in this simple example you can work this out recursively.
year 1 = 6500
year2 = 6500*1.06 = 6890
year3 = 6890*1.06 = 7303
year4 = 7303*1.06 = 7741..
etc......
year12 = 11604*1.06 = 12338
When there are two variables ('x' and 'y'), then you need two equations
in order to find a solution.
If you only have one equation with 2 variables, then there are an infinite
number of solutions.
Here are a few solutions to this particular equation:
x = 0, y = -31
x = 1, y = -29
x = 2, y = -27
x = 3, y = -25
x = 15, y = -1
x = 20, y = 9
x = 30, y = 29
x = 40, y = 49
x = 50, y = 69
x = 100, y = 169
Now that you have these 10 solutions,
there are only an infinite number of others.
