Given:
The word is "CALCULATOR."
To find:
The number of distinct permutations.
Solution:
In the word "CALCULATOR",
The number of letters = 10
In which, we have 2 C, A, L and 1 U, T, O, R.
We know that,


To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.




Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.
Add together the income from straight pay and that from tips:
($5/hr)(40 hrs) + $210.50
$200 + $210.50 = $410.50.
Jon's total earnings for the week were $410.50.
Answer:
The percentage of decrease is approximately 0.14%.
Step-by-step explanation:
35 - 5 = 30
What percentage is 5 of 35 (x/100 = is/of)
x/100 = 5/35 (cross multiply)
(5*100)/35 = 14.29%
Answer:
D
Step-by-step explanation:
You are subtracting two functions to get the profit, the formula is p(x)=r(x)-c(x). You know what two of those functions are equivalent to so plug it in to get
p(x)=11x-(6x+20)
to solve you must first get rid of the parentheses by distributing the negative.
p(x)=11x-6x-20
then, combine like terms (both x's)
p(x)=5x-20
That is your final answer.
Given that the graph of the quadratic function.
We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.
<u>Vertex:</u>
The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.
Hence, from the figure, the parabola turns at the point (0,-2) to form a U - shaped graph.
Therefore, the vertex of the graph is (0,-2)
<u>Minimum or maximum value:</u>
When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.
Thus, the graph has a minimum value.
Hence, the vertex of the graph is (0,-2); minimum value.
Therefore, Option A is the correct answer.