We want to find

, for

.
Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

.
Thus,
![y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3](https://tex.z-dn.net/?f=y%27%3D%5B%28x%5E2%2B2%29%5E3%5D%27%5B%28x%5E3%2B3%29%5E2%5D%2B%5B%28x%5E3%2B3%29%5E2%5D%27%5B%28x%5E2%2B2%29%5E3%5D%5C%5C%5C%5C%20%3D3%28x%5E2%2B2%29%5E2%28x%5E3%2B3%29%5E2%2B2%28x%5E3%2B3%29%28x%5E2%2B2%29%5E3)
Answer: A)

.
A=7,500×(1+0.06÷4)^(4×2)
A=8,448.69
Interest earned=8,448.69−7,500
Interest earned=948.69
Answer:
65
Step-by-step explanation:
So we have the expression:

And we want to evaluate it for m=25.
So, substitute 25 for m:

Subtract:

Multiply:

Add:

So, our answer is 65.
And we're done!
154 + 74 = 228 is the answer.
Answer:
C
Step-by-step explanation:
When you convert 5 2/3 to the common denominator as C, it is 5 8/12 which is larger than c meaning c is on the left of 5 2/3