Answer: Hello mate!
you know that the equation is (or at least i think this is):
p(t) = 800 + 9t/90 + t^2
You want to know the "rate of change" after 6 hours.
We know that the rate of change is the derivative of P(t) with respect to t; this is
![\frac{dP(t)}{dt} = 9/90 + 2t](https://tex.z-dn.net/?f=%5Cfrac%7BdP%28t%29%7D%7Bdt%7D%20%3D%209%2F90%20%2B%202t)
now we want the rate of change when t = 6, then we replace t by 6 in the derivate equation:
![p(6)' = 0.9 + 2*6 = 12.9](https://tex.z-dn.net/?f=p%286%29%27%20%3D%200.9%20%2B%202%2A6%20%3D%2012.9)
so the rate of change after 6 hours is 12.9
where ![P'(t) = \frac{dP(t)}{dt}](https://tex.z-dn.net/?f=P%27%28t%29%20%3D%20%5Cfrac%7BdP%28t%29%7D%7Bdt%7D)
If the equation is wrong ( because you write P(t) = 800 1 + 9t 90 + t2, and i don really know how to iterprete it) tellme and we can do the derivate again :D
Answer:
(x - 8)² + (y - 1)² = 36
None of the above
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(x - 8)² + (y - 1)² = 6²
(x - 8)² + (y - 1)² = 36
Answer:
(-4,15)
Step-by-step explanation:
Personally I think this works better with substitution, but I'll do it your way.
3x + y = 3
<u>2x + y = 7 </u> Subtract these two equations
x = - 4 3 - 7 = - 4
3x + y = 3 Substitute - 4 for x
3(-4) + y = 3 Combine
-12 + y = 3 Add 12 to both sides
-12 + 12 + y = 3+12
y = 15
<u>Check</u>
2x + y = 7
2*-4 + 15 = 7
- 8 + 15 = 7
7 = 7
It checks.
<span>In 6 years, you will have
$6,815.57 = $6,800Compounded daily.
</span>Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer: The minimum reliability for the second stage be 0.979.
Step-by-step explanation:
Since we have given that
Probability for the overall rocket reliable for a successful mission = 97%
Probability for the first stage = 99%
We need to find the minimum reliability for the second stage :
So, it becomes:
P(overall reliability) = P(first stage ) × P(second stage)
![0.97=0.99\times x\\\\\dfrac{0.97}{0.99}=x\\\\0.979=x](https://tex.z-dn.net/?f=0.97%3D0.99%5Ctimes%20x%5C%5C%5C%5C%5Cdfrac%7B0.97%7D%7B0.99%7D%3Dx%5C%5C%5C%5C0.979%3Dx)
Hence, the minimum reliability for the second stage be 0.979.