8/10*8/21
= 64/210
= 32/105
To check the decay rate, we need to check the variation in y-axis.
Since our interval is
To compare the decay rates we need to check the variation on the y-axis of both functions.
Now, we calculate their ratio to find how they compare:
This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
The given sequence is 25, 10, 4.
Notice that this is a geometric sequence because here we have equal common ratio.
So, common ratio : r =
=
= 0.4
So, each term is 0.4 times of it's previous term.
Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.
So, fourth / next term = 4* 0.4 =1.6
Hence, next term of this sequence is 1.6.
Hope this helps you!
20000=p(1+0.05/12)^12*9
Solve for p
P=20,000÷(1+0.05÷12)^(12×9)
P=12,764.49