Answer:
the value of the home after 12 years =$275,165.60
Step-by-step explanation:
To find value of appreciation after 12 years
We apply exponential growth formula

Where a represents the initial amount (purchased amount)
a= 182,100
r = rate of interest ( appreciation percentage) = 3.5% = 0.035
x represents the time period= 12 years
Plug in all the values


y= 275165.6025027724
y=$275165.60
Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3

is conservative if there is a scalar function
such that
. This would require



(or perhaps the last partial derivative should be 4 to match up with the integral?)
From these equations we find





so
is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:


The picture would change the distance from the bridge, the ground, and the jumper.