Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
Answer:
No solutions.
Step-by-step explanation:
First, simplify and combine all like terms.
4w + 8 = 4w - 6
Now, subtract 4w from both sides and add 6 to both sides.
You get:
14 = 0
This is not true, therefore this equation has no solutions.
Answer:
= -x+6
Step-by-step explanation:
we can simply substitute (x-4) in x place because when we say function of x , we are basically saying when we substitute a given value in the place of x we will find a given y.so for example if we have a question f(4), we can simply plug 4 to -x +2 so we will find y or f(x) = -2.
so the answer for the above question will be f(x)= -x +6.
Let us say that y = vertical height and z =
hypotenuse <span>
dz/dt = 600
dy/dt = 0 since y (altitude) is constant
sin(θ) = 2/3
Calculating for the angle: θ = arcsin(2/3) = 0.729728 radians
sin(θ) = y/z
z sin(θ) = y
<span>We then differentiate the two sides with respect to time t:
dz/dt sin(θ)+ z cos(θ) dθ/dt = dy/dt
(600) (2/3) + (3) cos (0.729728) dθ/dt = 0
400 + [3 / cos (0.729728) ] dθ/dt = 0
400+ 4.0249 dθ/dt = 0
dθ/dt = -98.38 radians/hour
= -99.38/60 radians / min
= -1.66 radians / min = 2PI - 1.66 radians / min
<span>= 4.62 radians / min (ANSWER)</span></span></span>
Answer: the solution to the inequality is -3 < x < 4. Graphically, this should be (2)
Step-by-step explanation:Note that x^2 - x - 12 factors to (x - 4)(x + 3) < 0, so we have:
(x - 4)(x + 3) < 0.The only way for (x - 4)(x + 3) to be negative is if x - 4 and x + 3 have opposite signs. This only occurs when:
(i) x - 4 < 0 AND x + 3 > 0
==> x < 4 AND x > -3; both occur when -3 < x < 4.
(ii) x - 4 > 0 and x + 3 < 0, which cannot happen at the same time.