Step-by-step explanation:
it is a box or prism.
the volume is simply
length × width × height
in our case
8m × 6m × 5m = 240 m³
doubled dimensions means
16m × 12m × 10m = 1920 m³
the difference is
1920 - 240 = 1680 m³
we could have gotten the new volume also based on the original volume :
2×8m × 2×6m × 2×5m = 8m×6m×5m × 2×2×2 =
= the original volume (240 m³) × 8 = 1920 m³
If f(x) is an anti-derivative of g(x), then g(x) is the derivative of f(x). Similarly, if g(x) is the anti-derivative of h(x), then h(x) must be the derivative of g(x). Therefore, h(x) must be the second derivative of f(x); this is the same as choice A.
I hope this helps.
Complete question is;
Mia is tracking her savings account balance. She knows the equation y = 8000p^(t) can be used to find her balance y in any year t, but she can't remember what p represents. Her balance 3⅔ years after opening her account, is $9,905.54. What is the value of p?
Answer:
p = 1.06
Step-by-step explanation:
We are told that the equation y = 8000p^(t) can be used to find her balance y in any year t.
Now, we are given t = 3⅔ = 11/3 years
Also, we are given balance after 11/3 years as;
y = $9,905.54
Thus;
Plugging the relevant values into y = 8000p^(t), we have;
9,905.54 = 8000p^(11/3)
p^(11/3) = 9905.54/8000
p = (9905.54/8000)^(3/11)
p = 1.06
