The following function represents the value of a house, in dollars, after x years:
2 answers:
Answer: The present value of the house
Step-by-step explanation:
Given: The following function represents the value of a house, in dollars, after x years:
When we substitute x=0 in the above equation, we get
Since at x=0, the function represent the initial value of a function.
Therefore, 242,000 represents the value of house in 0 years i.e. it represents the present value of the house.
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When is cos (x) = 0? <em>at 90° (aka π/2)</em>
Answer:
9514 1404 393
Answer:
- 40 ft
- t = 1 second
Step-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
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The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
