Answer:
Package B, you save 7.50
Step-by-step explanation:
Answer:
A) x = (-8log(6)-2log(17))/(-2log(17)+log(6))
Step-by-step explanation:
Taking the logarithm of the equation, you have ...
(x+8)log(6) = (2x-2)log(17)
Subtracting the right side from the equation gives ...
x(log(6) -2log(17)) +8log(6)+2log(17) = 0
Subtracting the constant and dividing by the coefficient of x gives ...
x = -(8log(6) +2log(17))/(log(6) -2log(17)) . . . . . matches selection A
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You don't need to work out the whole solution to determine the correct answer choice. Once you take the initial log, you find that the x-coefficient includes a multiplier of 2log(17). This term only appears in the denominator of choice A. (The value of x will be found after dividing by the x-coefficient, so you know this must show up in the denominator of the answer.)
The distance to the top of the building above the range finder can be found from the Pythagorean theorem.
.. d = √(115² -89²) ≈ 72.8 . . . . feet
Adding the height of the range finder, we find the height of the building to be
.. h = d+3 = 75.8 ft
78’ degrees on the right side
