<u>Given</u>:
Given that the angles of the kite.
The opposite angles of the kite measures (3y + 14)° and (y + 50)°
We need to determine the value of y.
<u>Value of y:</u>
We know the property that the opposite angles are equal.
Thus, applying the property, we have;
Subtracting both sides of the equation by y, we have;
Subtracting both sides of the equation by 14, we get;
Dividing both sides of the equation by 2, we get;
Thus, the value of y is 18.
Answer:
Option D. (0, 2)
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value
b is the base
r is the rate of change
In this problem
a=2 ---> the initial value ( value of the function when the value of x is equal to zero)
b=3
b=1+r ----> 3=1+r ----> r=2 ---> r=200%
Remember that
The initial value of the function is equal to the y-intercept
The initial value is the point (0,2)
therefore
The y-intercept is the point (0,2)
There are 100800 visitors there altogether in both the buildings.
Let the number of visitors in building b be x.
Visitors in building a will be = 2 x
Now, 2,950 went to a from b.
Visitors in building a = 2 x + 2950
Visitors in building b = x - 2950
ATQ: now a has 39,500 more visitors than b.
We get the equation as:
x - 2950 + 39500 = 2x + 2950
x + 36550 = 2x + 2950
2x - x = 36550 - 2950
x = 33600
2 x = 67200
Total visitors = x + 2x = 33600 + 67200
Total visitors = 100800
Therefore, there are 100800 visitors there altogether in both the buildings.
Learn more about equation here:
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<span>First Year - $28,000 with a 7.25% depreciation = 28000 * 7.25% = 2,030 - 28000 = $25,970
Second Year - $25,970 with a 7.25% depreciation = 25970 * 7.25% =1883 - 25970 = $24,087
Third Year - $24,087 with a 7.25% depreciation = 24087 * 7.25% = 1746 - 24087 = $22,341
Fourth Year = $22,341 with a 7.25% depreciation = 1620 - 22341 = $20,721
Fifth Year = $20.721 with a 7.25% depreciation = 1502 - 20721 = $19,219</span>
