The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:
1200 = 30(40) + b
or 1560 = 30(52) + b
Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.
Convert the decimal number to a fraction by placing the decimal number over power of ten. Since there are 3 numbers to the right of the decimal point, place the decimal number over 10^3 (1000). Then, add the whole number to the left decimal.
89 9/1000
Answer:
25.9 years
Step-by-step explanation:
The half life of an isotope is related to the actual amounts by the equation:
N = Ni*(1/2)^(t/HL)
where N and Ni are the final and initial (Ni) amounts, t is the time (in years for this problem) and HL is the half-life, in years.
In this problem, we can write:
100 = 360*(1/2)^(x/14)
I'll reduce this to:
1 = 3.6*(1/2)^(x/14)
This can be solved by taking the log of both sides.
x = 25.87 or 25.9 years
Step-by-step explanation:
=>a+6a=90-12
=>7a=78
=>a=11,14
