Only the last two options are true.
The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.
The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.
The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)
The last one is false (see point 2).
Step-by-step explanation:
1) 7/23 + 11/23 + 9/23
7+11+9/23
27/23
= 1 4/23
2) 2 5/7 + 9 4/7
11 9/7
= 11.12
3) 9/20 + 3/5
9+12/20
21/20
= 1 1/20 or 1.05
Answer:
It would be B & E
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
It can be helpful to actually see the graph. For 0 ≤ θ ≤ π, a circle is developed above the x-axis, symmetrical about the y-axis (θ=π/2). For π ≤ θ ≤ 2π, the same circle is traced again in the same direction (CCW), as values of r are negative for those angles.
The circle has a radius of 2.5, centered at (0, 2.5), so the diameter is 5 units. The length of the diameter is the farthest distance between any two points on a circle.
Answer:
if the annual interest rate is 7%, then you need to invest:
present value = future value / (1 + i)ⁿ
- future value = $2,200,000
- i = 7%
- n = 28 years
present value = $2,200,000 / (1 + 7%)²⁸ = $330,884.87
if the interest rate is 15%, the you need to deposit a smaller amount:
present value = future value / (1 + i)ⁿ
- future value = $2,200,000
- i = 15%
- n = 28 years
present value = $2,200,000 / (1 + 15%)²⁸ = $43,942.34
