Answer:
27 years
Step-by-step explanation:
P is measured in thosands therefore, P will have a value of 120
so it would be...
120=80e^0.015t
80e^0.015t=120
e^0.015t=120/80=3/2=1.5
e^0.015t=1.5
0.015t= In(1.5)
t=In(1.5)/0.015
∴ t≈27.03 round it to 27 years
It would be greatly appreciated if you gave me the brainlest
H=80 ft
Distance from horizon
=sqrt(h/0.57) miles
=sqrt(80/0.57) miles
=11.85 miles.
Answer:
240 square inches
Step-by-step explanation:
1 foot = 12 inches
to convert 4/3 ft to inches, multiply by 12
4/3 × 12 = 16 inches
the area of a square = base × height
base = 16, height = 15
16 × 15 = 240 square inches
consider the numbers are x,2x,3x,4x,5x
Given;
(x+2x+3x+4x+5x)/5 = 11
15x = 55
x= 55/15 = 11/3
The numbers are
11/3, 22/3, 11, 44/3, 55/3
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
