Answer:
Initial amount = 12
Rate of growth = 5%
value of the function when t t = 5 is 15.3
Step-by-step explanation:
The standard exponential growth equation is expressed as;
y = A(1+r)^t
A is the initial amount
r is the rate of growth
t is the time
Given the expression y = 12(1.05)^t
On comparing with the general formula;
A = 12
Hence the initial amount is 12
Also;
1 + r = 1.05
r = 1.05 -1
r = 0.05
r = 0.05 * 100
r = 5%
The rate of growth is 5%
To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;
Recall that y = A(1+r)^t
y = 12(1.05)^5
y = 12(1.2763)
y = 15.3 (to the nearest tenth)
Answer:
We say that a function is increasing on an interval if the function values increase as the input values increase ...
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
Answer: a = (V^2 - v^2)/2s
Step-by-step explanation:
The equation for the final velocity is:
V^2 = v^2 + 2*a*s
where V is the final velocity, v is the initial velocity, a is the acceleration and s is the distance.
Now, we want to solve this formula for a, this would mean isolate a in one side of the equation, this is pretty simple, first we pass subtract v^2 in both sides.
V^2 - v^2 = v^2 + 2*a*s - v^2
V^2 - v^2 = 2*a*s
now we can divide by 2*s in both sides:
(V^2 - v^2)/2s = 2*a*s/2s = a
a = (V^2 - v^2)/2s
Answer:
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Step-by-step explanation: