If angle 10 and 15 are congruent ( the same) that would mean lines a and b would need to be parallel with each other because that have the same angles.
The answer ic C.
The graph approaches 0 as x approaches infinity.
Step-by-step explanation:
The behavior of the graph is presented by the function;
f(x)= 3x/4-x
Forming a table to see the behavior,
x f(x)
1 1
2 3
3 9
4 infinity
5 -15
6 -9
7 -7
8 -6
This shows that as value of x approaches positive infinity, the value of f(x) approaches 0.
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Keywords : statements, behavior, function, graph
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Answer:
The equation of the line is 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that 
So
Through the point (-6, -6)
This means that when 
. So
The equation of the line is
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
