You have the following function:

Derivate implictly the previous expression, as follow:

Where you have used that:

Then, the implicit derivative of the given expression is:

Next, solve for y' as follow:

4/5 because 12/3=4 and 15/3=5
Answer:
Katherine invested $12,000
Step-by-step explanation:
Use formula

where
I = interest,
P = principal,
r = rate (as decimal),
t = time (in years).
In your case,
t = 1 year,
r = 0.06 (or 6%)
P + I =$12,720, thus

Answer:
d) 343 cm^3
Step-by-step explanation:
Because you are talking about volume of a cube, that means all sides are equal. The equation for volume is length x width x height. Since all sides of the cube are equal and you are given the height, 7 cm, you will need to multiply 7 three times. Your equation would be 7 x 7 x 7. Then, 7 x 7 is 49 and 49 x 7 is 343. Don't forget, because we are talking volume, to put the cubed. So, your answer is 343 cm^3.