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In a triangle, the sum of two sides will always be greater than the third. If 5, 9, and 10 are the line segments, 5+9=14 14>10, 10+9=19 19>5, and 5+10=15 15>9
the exponential function f(x) =
he invest $1000 for 5, 10, 15 years
5 years,
To find the amount of money he have , we plug in 5 for x and find out f(5)
f(x) =
f(5) =
= 1762.34
The amount of money he have after 5 years is 1762.34
10 years,
To find the amount of money he have , we plug in 10 for x and find out f(10)
f(10) =
= 3105.85
The amount of money he have after 10 years is 3105.85
15 years,
To find the amount of money he have , we plug in 15 for x and find out f(15)
f(15) =
= 5473.57
The amount of money he have after 15 years is 5473.57
f(5) = 1762.34
f(10) = 3105.85
f(15) = 5473.57
<u><em> . . five and one hundred four thousandths</em></u>
By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3

After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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