Answer:
b. $2.50
Step-by-step explanation:
Let us take a step by step approach by simplifying each sentence:
Sentence 1: Hector works 12 hours per week at a part-time hours per week at a part-time job
Number of hours worked per week = 12hours
Sentence 2: His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour
Pay per hour is 8hr, a raise of x gives 8 + x
Sentence 3: New total wage = 12(8+x)
Sentence 4: Amount earned last week = $126
New total wage = Amount earned last week
12(8 + x ) = 126
96 + 12x = 126
12x = 126 - 96
12x = 30
x = $2.50
Amount of raise is $2.50
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
If < means less than than ≤ means less than or equal to
8/10 can be simplified to 4/5 by dividing the top and bottom by 2. That is the simplest form because you cannot divide it any further.
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b
Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14
Finally, put in everything we've found to finish the equation.
y= -3x+14
