What the person said up above should be correct!
9514 1404 393
Answer:
64r -48r -144
Step-by-step explanation:
The January cost expression is ...
62p -48p -144 -432 = profit
The cost is identified as having 3 components, so the profit will have 4 components:
(selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit
Comparing this to the given equation, we identify the components as ...
selling price = 62
cost per unit = 48
fixed monthly cost = 144
first month startup cost = 432
We note that 432 = 3×144, so is consistent with the description of startup costs.
Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...
(selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit
64r -48r -144 = profit
Answer:
18%
Step-by-step explanation:
Percent change can be found using the following formula:

Original represents the initial cost where new represents the new cost. We multiply the answer by 100 to get the percentage:
= 18%
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by

where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)