Will I lose points when use brainly plus to ask questions?
1 answer:
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Answer:
t = 13.1576 years
Step-by-step explanation:
The situation can be modeled as
P = Po.(1-r)^t
Where
t is the years transcurred
Po is the initial amount
r is the rate of change
Po = 40000
r = 10% equivalent to 0.1
Now
A quarter of the original amount
(1/4)*Po = Po.(1-r)^t
(1/4) = (0.9)^t
t = 13.1576
Please, see attached picture
Presumably you should be doing this using calculus methods, namely computing the surface integral along 
.
But since describes a sphere, we can simply recall that the surface area of a sphere of radius 
is 
.
In calculus terms, we would first find an expression for the surface element, which is given by
So the area of the surface is
as expected.
But since
In calculus terms, we would first find an expression for the surface element, which is given by
So the area of the surface is
as expected.