Please help me, i have a test soon and i don’t understand this!
2 answers:
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Answer:
Given the statement:
8,000 earn in four years compounded daily at 5%
To find the amount we use formula:
where P is the principal , A is the amount , n is number of times compounded per year and t is the time in year.
Here, Principal(P) = $8000, r = 5% and n = 365
Substitute these given values we get;
Simplify:
To find the Interest we use formula:
It is also given that:
8,000 earn in four years compounded annually at 5%.
Here, P = $8000, r = 5% , t =4 year and n = 1
Using the same formula to calculate the amount:
Simplify:
To find the Interest :
Then;
Therefore, $47.23 more would $8,000 earn in four years compounded daily at 5% than compounded annually at 5%
Answer:
B) (−1, 3)
Step-by-step explanation:
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In your equation, ƒ(x) = −3x² − 6x
a = -3; b = -6; c = 0
Calculate h
h = -(-6)/2(-3)]
h = 6/(-6)
h = -1
Calculate k
k = -3(-1)² -6(-1)
k = -3 + 6
k = 3
So, h = -1, k = 3, a = -3
The vertex form of the equation is f(x) = -3(x + 1)² + 3.
The vertex is at (-1, 3).
The figure below shows the graph of ƒ(x) = −3x² − 6x with the vertex
at (-1, 3).
