20p + 9t = 44.4
Subtract 9t from both sides:
20p = 44.4 - 9t
Divide both sides by 20:
p = 2.22 - 0.45t
Example...
4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)
Answer:
p is approximately equal to 1.125, -1.925
Step-by-step explanation:
We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:
(4p - 4)(13p + 27) = 0
52p² + 108p - 52p - 108 = 0
52p² + 52p - 108 = 0
13p² + 13p - 27 = 0
13p² + 13p = 27
p² + p = 27 / 13
p² + p + 1/4 = 27/13 + 1/4
(p + 1/2)² = 108 / 52 + 13 / 52
(p + 1/2)² = 121 / 52
p + 1/2 = ± √(121 / 52)
p = -1/2 ± 11√(1/13) / 2
At that point we can simply plug those numbers into a calculator and solve it:
p ≈ 1.125, -1.925
Answer:
$1002
Step-by-step explanation:
The answer could not be submitted;
So, I added it as an attachment
