The closing agent or an escrow officer
Answer:
Volume = 480 cubic inches
Explanation:
We have the following relationships to work with
width w = h -3
length l = h + 4
area of base of prism a = l x w = 60 (1)
area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)
Setting (1) = (2) gives
h² + h -12 =60
h² + h -72 = 0
Factoring the LHS we get
(h+9)(h-8) = 0
The solutions for h are
h + 9 = 0 ==> h = -9
h - 8 = 0 ==> h = 8
Since h cannot be negative, h = 8 inches
Volume = base area x h = 60 x 8 = 480 cubic inches
<u>Note</u>
We do not have to calculate length and width separately, but if so,
w = 8 -3 = 5
l = 8 + 4 = 12
Based on the number of years, and the number of nesting sites, the exponential function that best models the data is B. n(x) = 46,797(0.93)ˣ.
<h3>What function best models the data?</h3>
You can find the correct function by testing out the options with the given x value to see if it correctly predicts the number of nesting sites.
Function n(x) = 25,956.80(1.08)ˣ
Assuming x is 3:
= 25,956.80(1.08)³
= 32,698 sites
This function does not predict the correct number of sites which is 40,513.
Function n(x) = 46,797(0.93)ˣ
Assuming x is 3:
= 46,797(0.93)³
= 37,438 sites
This is closer to the predicted number of 40,513 sites with some discrepancy.
In conclusion, option B is correct.
Find out more on exponential functions at brainly.com/question/12940982.