In order to solve this problem, you need to use a geometric series:

where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>

= 219783.60 $
Luke's total earnings in five years are
<span>
219783.60 $.</span>
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For this case we must find the solution set of the given inequalities:
Inequality 1:

Applying distributive property on the left side of inequality:

Subtracting 3 from both sides of the inequality:

Dividing by 6 on both sides of the inequality:

Thus, the solution is given by all the values of "x" greater than 3.
Inequality 2:

Subtracting 3x from both sides of the inequality:

Subtracting 3 from both sides of the inequality:

Thus, the solution is given by all values of x less than 4.
The solution set is given by the union of the two solutions, that is, all real numbers.
Answer:
All real numbers
Answer:
see below
Step-by-step explanation:
(3x+1)/2<−x+4
Multiply each side by 2 using the multiplication property of equality
3x+1 < -2x +8
Subtract 1 from each side using the subtraction property of equality
3x < -2x+7
Add 2x to each side using the addition property of equality
5x < 7
Divide each side by 5 using the division property of equality
x < 7/5
Answer:
$118.22
Step-by-step explanation:
Subtract $130.00-$8.00= $122.00
Then subtract $122.00- $3.78 = $118.22
Answer:
12.5%
Step-by-step explanation: