Which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green ap
2 answers:
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Answer:
Brian has $776 more account in his account than Chris.
Step-by-step explanation:
Compound interest Formula:
= A-P
A= Amount after t years
P= Initial amount
r= Rate of interest
t= Time in year
Given that,
Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.
Here P = $10,000 , r= 4%=0.04, t=10 years
The amount in his account after 10 years is
=$14802.44
≈$14802
Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.
Here P = $10,000 , r= 7%=0.07, t=5 years
The amount in his account after 5 years is
=$14025.51
≈$14026
From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.
Answer:
Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel
Step-by-step explanation:
Question;
The equation representing the path of the ball obtained from a similar question posted online are;
h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20
The above equations represent the same path
The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time <em>t</em>
At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level
The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0
The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;
The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)
The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape
The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached
