Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:

In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,


It will reach $450 after t years, for which A(t) = 450, hence:

It will take about 2.9 years for Emma's balance to reach $450
Learn more about logarithm here
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For the graph in the figure
we know that
the function is a quadratic equation ( vertical parabola) open up
so
The vertex is a minimum
the vertex is the point 
The domain x of the function is all real numbers-------> (-∞,∞)
The range is the interval--------> [0,∞)

therefore
Statements
A) The range is the set of all real numbers
Is false
B) The domain is the set of all real numbers
Is true
C) The domain is the set of all real numbers greater than or equal to zero
Is false
D) The range is the set of all real numbers greater than or equal to zero
Is true