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Answer:
Option B.
Step-by-step explanation:
The future value formula, for an annuity, is:
An annuity means that a number of payments happen during the period(an year, for example).
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
Deposits of $765.13, so
Each month, for 3 years. An year has twelve months, so
2% Interest a year. An year has 12 months, so
Find the final amount of the account.
The final amount of the account will be $28,363.46, which is option B.
Answer:
1) Vertex point (-1.5,-20.25)
2) axis of symmetry: x=-1.5
3) x-intercepts: (-6,0) and (3,0)
4) y-intercept: (0,18)
5) Graph in attachment.
Step-by-step explanation:
1) The given parabola has equation:
We need to complete the square.
This function is in the vertex form:
where (h,k) is the vertex, x=h is the axis of symmetry.
By comparing our equation to the general vertex form:
The vertex point is (-1.5,-20.25)
2) The axis of symmetry divides the parabola into two congruent halves.
Since this is a vertical parabola, the axis of symmetry occuring at x=h is a vertical line.
The axis of symmetry is x=-1.5
3) Y-INTERCEPT.
The y-intercept is the point where the graph cross the y-axis.
At this point, the value of x is zero.
To find the y-intercept, we substitute x=0 in the equation of the parabola and simplify.
when x=0,
The y-intercept is (0,-18).
4) X-INTERCEPT
The x-intercepts are the points where the graph touches or intersect the x-axis.
To find the x-intercept, we substitute y=0.
Add 20.25 to both sides;
Take square root.
The x-intercepts are(-6,0) and (3,0).
4) GRAPH
To graph this function, we can use transformation.
To graph the function,
We shift the parent quadratic function 1.5 units left and 20.25 units down.
See attachment for graph.
