Answer:
$863
Step-by-step explanation:
Given: Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10-year term life insurance policy.
To find: What is her annual premium?
Solution: Insurance companies use mathematical calculation and statistics to calculate the number of insurance premiums they charge their clients.
Annual premium = face value x rate $100
Annual premium (for building) = $100,000 ÷ $1000 x 10 = $1000.
The sum of the annual premium is $863.
The scientist stayed awake in class, so knows that the cosine of angle x is the ratio of y to the sun-moon distance. The sun-moon distance can be found by dividing y by the cosine of x.
Answer:
Step-by-step explanation:
-16x^2 + 24x + 16 = 0.
A. Divide by 8:
-2x^2 + 3x + 2 = 0, A*C = -2*2 = -4 = -1 * 4. Sum = -1 + 4 = 3 = B, -2x^2 + (-x+4x) + 2 = 0,
(-2x^2-x) + (4x+2) = 0,
-x(2x+1) + 2(2x+1) = 0,
(2x+1)(-x+2) = 0, 2x+1 = 0, X = -1/2. -x+2 = 0, X = 2.
X-intercepts: (-1/2,0), (2,0).
B. Since the coefficient of x^2 is negative, the parabola opens downward. Therefore, the vertex is a maximum.
Locate the vertex: h = Xv = -B/2A = -24/-32 = 3/4, Plug 3/4 into the given Eq to find k(Yv). K = -16(3/4)^2 + 16(3/4) + 16 = 19. V(h,k) = V(3/4,19).
C. Choose 3 points above and below the vertex for graphing. Include the points calculated in part A which shows where the graph crosses the x-axis.
Answer:
64.3 m²
Step-by-step explanation:
The figure is composed of a square and a quarter circle.
Therefore, area of the figure = area of the square + area of quarter circle
= s² + ¼(πr²)
Where,
s = 6 m
r = 6 m
Plug in the values
Area = 6² + ¼(π*6²)
Area = 64.274334 ≈ 64.3 m² (nearest tenth)
Answer:
8 for 1
n is (0;8)
Step-by-step explanation:
look photo, but I'm not conviniat if n can be negative, if yes, i hope you will correct me
