Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.
1 answer:
Answer:
The lodging cost of the room is $ 41.28
Step-by-step explanation:
Given as :
The rate of room including taxes = $ 45
The state tax = 6 %
The city tax = 2 %
The municipal tax = 1 %
So, The total tax = 6 % + 2 % + 1 % = 9 %
Let The lodging cost = $ x
So, According to question
x + 9 % of x = $ 45
Or, x + 0.09 × x = 45
Or, 1.09 × x = 45
∴ x = = $ 41.28
Hence The lodging cost of the room is $ 41.28 Answer
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Answer:
Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:
Now, we substitute 2 into the polynomial as follows:
There is a remainder of -28 and thus, the linear factor is not a factor of the binomial