Answer:
The equations that represent an exponential decay are;
A; [y = (0.1)ˣ]
B; [y = 2·(0.3)ˣ]
Step-by-step explanation:
An exponential decay is given by the following formula;
y = a·bˣ
Where;
b < 1
For option A, we have; [y = (0.1)ˣ]
Here; a = 1, b = 0.1 < 1, therefore, the function represents an exponential decay
For option B, we have; [y = 2·(0.3)ˣ]
Here; a = 2, b = 0.3 < 1, therefore, the function represents an exponential decay
For option C, we have; ![\left[y = \left(\dfrac{4}{3} \right)^x\right]](https://tex.z-dn.net/?f=%5Cleft%5By%20%3D%20%5Cleft%28%5Cdfrac%7B4%7D%7B3%7D%20%5Cright%29%5Ex%5Cright%5D)
Here; a = 1, b = 
, therefore, the function does not represent an exponential decay
For option D, we have; ![\left[y = \left(\dfrac{7}{5} \right)^x\right]](https://tex.z-dn.net/?f=%5Cleft%5By%20%3D%20%5Cleft%28%5Cdfrac%7B7%7D%7B5%7D%20%5Cright%29%5Ex%5Cright%5D)
Here; a = 1, b = 
, therefore, the function does not represent an exponential decay
Answer:
37.68
Step-by-step explanation:
The formula to be used is 1\3πr^2h
so going by the question π=3.14,r=2,h= 9
when u substitute each value into the formula u get you answer to be 37.68
Answer:
C
Step-by-step explanation:
<span>The<u> correct answer</u> is:
153/200.
Explanation<span>:
The amount for the first 6 months is 76500 and the amount for the last 6 months is 100000. This makes the ratio 76500/100000.
Both of these end with two 0's; this means they are both divisible by 100. 76500/100 = 765 and 100000/100 = 1000; this makes the ratio 765/1000.
Since these end with a 5 or a 0, they are divisible by 5; 765/5 = 153 and 1000/5 = 200; this makes the ratio 153/200.
153 is only divisible by 3 or 9; 153/3 = 51 and 153/9 = 17. None of these will divide evenly into 200, so we stop at 153/200.</span></span>
I'm pretty sure it's D because you're subtracting 30 without changing it.
