Answer: She could have the same future value and invest less than $2,000 initially if she could earn more than 64.5 percent interest.
Step-by-step explanation:
Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle
in the plane
, where the curl is
. Green's theorem applies here, so that

which means the value of the line integral is 3 times the area of the circle, or
.
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.
Answer: x=30 (Sorry for wasting your time if the answer is wrong)
Step-by-step explanation:
I did it the lazy way
80-20=60
60÷2=30
(If this is completely wrong then again, sorry)
Answer- A- 20, B-70, c-20, d-50, e- 110
I think
Answer:
263-5000=4737
Step-by-step explanation: