Answer:
339.3 mi^2
Step-by-step explanation:
The formula for the surface area of a cylinder: 2pi*rh + 2pi*r^2
substitute the radius and height into this formula, and remember that radius is half of the diameter.
I=P*R*T
I - Interest
P - Principal (how much you invest) - $1025
Rate - Interest rate - 6.5% = . 065
T - Time - 5 years
I = 1025*.065*5
The interest is $333.13 (333.125 rounded)
The ending balance is interest+principal
$333.13+$1025=$1358.13
Ending Balance = $1,358.13
Answer:
(x/3) - 3 = f^-1(x)
Step-by-step explanation:
y = 3x-9
x = 3y-9
x - 9 = 3y
(x/3) -(9/3) = y
(x/3) - 3 = f^-1(x)
The general equation of the line:
y = mx + c
where m is the slope of the line , and c is constant
m will be calculated using the points (2,1162) , (11,1900) as follow
m = (1900-1162)/(11-2) = 82
∴ y = 82 x + c
By substituting with the point (2,1162) to find c
∴ c = y - 82x = 1162 - 82 * 2 = 998
∴ y = 82x + 998
The first choice is the correct answer
Answer:
(P(t)) = P₀/(1 - P₀(kt)) was proved below.
Step-by-step explanation:
From the question, since β and δ are both proportional to P, we can deduce the following equation ;
dP/dt = k(M-P)P
dP/dt = (P^(2))(A-B)
If k = (A-B);
dP/dt = (P^(2))k
Thus, we obtain;
dP/(P^(2)) = k dt
((P(t), P₀)∫)dS/(S^(2)) = k∫dt
Thus; [(-1)/P(t)] + (1/P₀) = kt
Simplifying,
1/(P(t)) = (1/P₀) - kt
Multiply each term by (P(t)) to get ;
1 = (P(t))/P₀) - (P(t))(kt)
Multiply each term by (P₀) to give ;
P₀ = (P(t))[1 - P₀(kt)]
Divide both sides by (1-kt),
Thus; (P(t)) = P₀/(1 - P₀(kt))