From the table, we observe that the domain of the function is {Mon, Tues, Wed, Thurs, Fri} and the range is {1, 2, 3, 4, 0}
So, S(Mon) = 1
S(Tues) = 2
S(Wed) = 3
S(Thurs) = 4
S(Fri) = 0
Hence, 
The sum of the convergent series
is 5.31
For given question,
We have been given a series 
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is 
So, the sum is,
= 
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]

=
= 
= 
= 5.31
Therefore, the sum of the convergent series
is 5.31
Learn more about the convergent series here:
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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
Answer:
-10 not sure what : is
Step-by-step explanation:
Answer: ∠AOB = 100°
Step-by-step explanation:
This is found in the circle geometry. The theorem in solving this stated that the angle which an arc of a circle subtends at the centre of the circle is twice that which it subtends at any point on the remaining part of the circumference of the circle
Therefore
∠AOB = 2 x ∠ACB
= 2 x 50°
= 100°