Answer:
the projectile reached a maximum height of 27.6 meters in 2.4 seconds and it took 5.0 seconds for it to hit the ground
Step-by-step explanation:
to find the vertex you can find the axis of symmetry first
that equation is -b/2a
-19/-8 = 2.375
then you take this and plug it in
-4(2.375)^2 + 19*2.375 + 5
that gives you 27.5625
then you have to find when it hits the ground
you can factor to find this out
-4t^2 + 19t + 5
4t^2 - 19t - 5
4t^2 + t - 20t - 5
t(4t + 1) -5(4t +1)
(t - 5)(4t + 1)
t = {5, -1/4}
we can only take positive time so it took 5 seconds
the answer is the second one
Answer: the initial deposit is $162.1
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
r = 7% = 7/100 = 0.07
t = 3 years
A= $200
Therefore,
200 = P x 2.7183^(0.07 x 3)
200 = P x 1.234
P = 200/1.234
P = $162.1 to the nearest cent
Step-by-step explanation:
A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6) ?
Since, A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100,we have to find the value of f(6).
Consider
f(n+1) = f(n)-8
Let n =1, we get
f(1+1) = f(2) = f(1) - 8 = 100-8 = 92
Let n =2, we get
f(2+1) = f(3) = f(2) - 8 = 92-8 = 84
Let n =3, we get
f(3+1) = f(4) = f(3)-8 = 84 - 8 = 76
Let n =4, we get
f(4+1) = f(5) = f(4)-8 = 76 - 8 = 68
Let n =5, we get
f(5+1) = f(6) = f(5) - 8 = 68-8 = 60
Therefore, the value of f(6) is 60.
Answer:
23 is a prime number
Step-by-step explanation:
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Answer:
your answer would be -3.695
Step-by-step explanation:
Put f-g+(-2) into the correct equation with the given information.
3.005-4.7+(-2)
