A bag trail mix weighs 1.625 pounds round 1.625 to the nearest tenth
2 answers:
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we will proceed to resolve each case to determine the solution
we have
we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u>
Substitute the value of x and y in the inequality
------> is True
therefore
the ordered pair is a solution of the inequality
<u>case b)</u>
Substitute the value of x and y in the inequality
------> is False
therefore
the ordered pair is not a solution of the inequality
<u>case c)</u>
Substitute the value of x and y in the inequality
------> is True
therefore
the ordered pair is a solution of the inequality
<u>case d)</u>
Substitute the value of x and y in the inequality
------> is True
therefore
the ordered pair is a solution of the inequality
<u>case e)</u>
Substitute the value of x and y in the inequality
------> is False
therefore
the ordered pair is not a solution of the inequality
<u>Verify</u>
using a graphing tool
see the attached figure
the solution is the shaded area above the line
The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality
It would take 26 years.
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have