In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How
tall is the tree? Round to the nearest tenth.
1 answer:
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Answer:
Step-by-step explanation:
Use the Washer Method where
is the outer radius and
is the inner radius.
If we sketch out the graph, we see that intersects points
and
, which will be our bounds of integration.
Here, our outer radius will be and our inner radius will be
.
Thus, we can compute the integral and find the volume:
In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!
Answer:
Investment with interest rate 0.1872 is better
Step-by-step explanation:
Given as :
George investment principal = $20,000
The Rate of interest (R1) = 18 % =
%
I.e R1 = 18.67 %
Again The The Rate of interest (R2) = 0.1872 = 18.72 %
Let the time period for both rate of interest = 1 years
Now from compound interest method
Amount = Principal ×
Or, A 1 = $ 20 , 000 ×
Or, A 1 = $ 20 ,000 × 1.1867
∴ A 1 = $ 23,734
And A 2 = $ 20 , 000 ×
Or, A 2 = $ 20 ,000 × 1.1872
∴ A 2 = $ 23,744
Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer