Write down in terms of
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price. The store charges sales tax 6.5% on all sales. Write a function p(x) that represents the price after a 15% discount. Write a function t(x) that represents the total cost with sales tax. Write a composition of functions that represents the total cost of a riding lawn mower on sale. How much will Mr. Rivera pay for a riding lawn mower that has a marked price of $3000?
Solution:
a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:
p(x) =
b) If x = discounted price and t(x) = total cost with sales tax, then:
t(x) =
c) Let t(x) represents the total cost with sales tax
Answer:
Step-by-step explanation:
Let,
Now, us simplify the given differential equation and write it in terms of D,
or,
or,
We have our auxiliary equation:
or,
or,
Therefore our solution is,
and,
Applying the boundary conditions, we get,
Solving them gives us,
Hence,