making the left-hand of the inequality greater than the right-hand side. Therefore, the answer
is 5.- 5,406 The first step here is to add Team Charlie’s and Team Delta’s total currents together as
follows:
Next, use FOIL to multiply this value by the total current from Team Epsilon: (90 + 3i) (60
– 2i) = 5,400 – 90(2i) + 60(3i) – 2i(3i) = 5400 – 180i + 180i – 6i^2 = 5,400 – 6i^2 . Since i^2 =
–1, this is equivalent to 5,400 – 6(–1) = 5,400 + 6 = 5,406. If you have a calculator that is
able to deal with imaginary numbers, you can simply type the expressions into your
calculator, which will solve everything for you.
860 The question states that there are 2,400 total inhabitants of Centre Hill, so if there are an
equal number of adults and children, then there are 1,200 of each. Since there are 200 more
adult females than adult males, you can set up two equations: f + m = 1,200 and f = m +
You can rewrite the second equation by subtracting m from both sides: f – m = 200.
Next, stack and add the two equations as follows:
Divide both sides of the equation by 2 to determine that f = 700. The number of women
living uptown is therefore 8% of 700: (700) or (0.08)(700) = 56. The number ofchildren living in the suburbs is 67% of 1,200: (1,200) or (0.67)(1,200) = 804. Thesum of these two figures is 56 + 804 = 860.- 250 Using your information from question 37, you can determine that the total number of adult
males prior to the addition of the annex is 1,200 – 700 = 500. The original percentage ofadult males living Uptown is 9% of 500: (500) or (0.09)(500) = 45. Since the questionstates that the percentage of adult males living Uptown decreases to 6%, you can concludethat the 45 adult males living Uptown after the annexation constitute 6% of the total adult