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We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Now we will subtract principal amount from final amount to find amount of interest as:
Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.
Answer:
1. <em>Axis of symmetry</em>: x = 3
2. <em>Vertex:</em> (3,5)
3. <em>Solution of the equation</em>:
<u />
- x-intercepts:
- y-intercept: (0, -4)
Explanation:
<u>1. Equation:</u>
<u>2. </u><em><u>Axis of symmetry:</u></em>
That is the equation of a parabola, whose standard form is:
Where:
The axis of symmetry is the vertical line with equation:
Substitute
Thus, the axis of symmetry is:
<em><u>3. Vertex</u></em>
<em><u /></em>
The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.
To find the y-xoordinate, substitute this value of x into the equation for y:
Therefore, the vertex is (3, 5)
<u>4. Find the x-intercepts</u>
The x-intercepts are the roots of the equation, which are the points wher y = 0.
Use the quadratic equation:
<u>5. Find the y-intercept</u>
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The y-intercet is the value of y when x=0: