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Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of <em>t</em> years, compounded continuously is:
Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:
Thus, the amount in the account at the end of three years will be $59,861.
The picture in the attached figure
we know that
the total capacity of the storage container=volume of a cone+volume of cylinder
step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³
step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³
total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³
the answer is
1400 m³
we know that
the total capacity of the storage container=volume of a cone+volume of cylinder
step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³
step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³
total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³
the answer is
1400 m³