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:
35
Step-by-step explanation:
Since this triangle is a 90 degree angle, all you'd have to do is subtract 55 from 90 and you've got you answer.
<h3>
Answer: 1227.50 dollars</h3>
======================================================
Explanation:
The simple interest formula to use is
A = P*(1+r*t)
where,
A = account value after t years (original deposit + interest)
P = 1000 = amount deposited (principal)
r = 0.0325 = annual interest rate in decimal form
t = 7 = number of years
So,
A = P*(1+r*t)
A = 1000*(1+0.0325*7)
A = 1227.50
Side note: you've earned A-P = 1227.50-1000 = 277.50 dollars in total interest
Answer:
undefined
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
-5/(k + 1)
k = -1
Step 2: Substitute and Evaluate
-5/(-1 + 1)
-5/0
undefined (we cannot divide anything by 0)
Answer:
f(x)=-4x^2-6x-1
g(x)=-x^2-5x+3
(f+g)(x) = (-4x^2-6x-1) + (-x^2-5x+3)
-4x^2 - 6x - 1 -x^2 - 5x + 3
= -5x^2 - 11x + 2
Step-by-step explanation:
