Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its
coordinates.
1 answer:
Answer:
<h3> vertex form: y = (x + 3)² + 1</h3><h3> the vertex is minimum</h3><h3> coordinates of the vertex: (-3, 1)</h3>Step-by-step explanation:
a = 1 > 0 ← it means the parabla opens up, so, <u>the vertex is </u><u>minimum</u>
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 3)² + 1 <u>the vertex is</u>: (-3, 1)
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At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24
<h3>What is appreciation and deprecation?</h3>Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.
<h3>How to find the percentage from the total value?</h3>Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
It is given that:
- Initial price of the plot of land = $350,000
- First year: 12% appreciation
- Second year: 10% appreciation
- Third year: 8% devaluation
- Fourth year: 6% appreciation
Now, consider appreciation of an amount A by P%.
Then, we have:
Increased price = Initial price + P% of initial price
Increased price =
Similarly, depreciated price by P% of an amount A is:
Decreased price =
We've got: A = 350,000
After 1st year, which had 12% appreciation, we get:
After 2nd year, 10% appreciation we get:
After 3rd year, which had 8% devaluation effect on the price, we get:
After 4th year, which had 6% appreciation effect on the price, we get:
Thus, the final effect on A is:
Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24
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