Answer:
add a point 4 units to the left
Step-by-step explanation:
She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.
<u><em>Explanation</em></u>
Total amount of winnings = $ 200000
She first paid income tax on 30% on the winnings. So, the amount paid as income tax 
dollar.
<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000
Suppose, she invested 
dollar at 1.5% rate.
That means, she invested 
dollar at 4% rate.
Given that, the total amount of interest earned = $ 4350
So, the equation will be.....
So, amount of investment at 1.5% rate = $ 50000
and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000
Step-by-step explanation:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ)
Multiply by the reciprocal:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)
(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]
(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]
Distribute and simplify:
(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)
[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)
(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)
Use Pythagorean identity:
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)
(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)
Factor:
(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))
(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))
(1 + sin θ) / cos θ
M + 5n = 7
subtract 5n from each side
m = -5n + 7
Answer:
C. {-5,-4, -3, 1, 2, 5}
Step by step explanation:
We have been given a graph and we are asked to find the domain of the relation represented in graph.
We can see that our graph is a series of unconnected points. Our function represents integer values. So we can see that our graph represents a discrete function.
Since we know that domain of a discrete function is set of inputs values consisting of only certain values in an interval. .
The set of first value from each of the given points would made domain of our function. Upon looking at our graph we can see that domain of our function is -5,-4, -3, 1, 2 and 5.
Therefore, option C is the correct choice.
