5/3 is greater improper fraction comes out to 1 2/3
P = price of tickets
8.50p = 42.50
you then divide 8.50 on both sides
8.50p = 42.50
——— ———
8.50 8.50
p = 5
meaning Allison bought 5 tickets in total.
22.65 is the answer. Just need to long divide
We need to cancel out the discontinuity in x = 4
In order to do that, factorize the numerator:
5x⁴ - 20x³ = 5x³(x-4)
This way, your function will be:
f(x) = <span>5x³(x-4) / (x-4)
and the two parentheses cancel out, leaving
</span>f(x) = <span>5x³
</span>
which at x = 4 gives:
f(4) = <span>5·4³</span> = 5 · 64 = 320
Therefore K = 320.
Step-by-step explanation:
We can call the original value x. In 2012, the painting's value was 1.05 x. In the beginning of 2013, the value was (1.05 x) * 0.98, and that increased to (1.05x) * 0.98 * 1.40 at the end of 2013. When we simplify, we get 1.4406 x as a value, and we know that this is equal to $52,640. We can write 1.4406x = 52640, and when we solve for x, we get x ≈ $36415.38. Hope this helps!
