Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
Answer:
-5<x<9
Step-by-step explanation:
It took me a while to find figure it out.
Y=mx+b
M=Slope
B= y-intercept
Your m=-1/4 because you’re going 1 down and 4 right
B=0 because it’s is at the center which is 0
From your B (0) you go 1 down and 4 to the right. Always know your b so you can know what your slope is.
And your slope is a negative
<span>Before all let's just convert Km/s into m/s :
2.41 km/s = 2410m/s\
To solve the second part
First we have to find Vy
Vy = 2410 m/s * sin 61.5
= 2410 m/s * 0.8788
=2117.908 m/s.
When the shell reaches it's maximum height the vertical velocity component will be zero
based on that theorem let's apply linear motion equation
V = u + at
0 = 2117.908 m/s - 9.8 m/S^2 * (t)
t = 216.1130 s
As the shell has to go upward and comes back to earth the shell will require a same amount of time in order to reach earth again so the total time that shell will spend on the air will be
<span>2*t
= 432.226 s
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!</span></span>