Evan is collecting Pokemons. After getting 10 more pokemons, he has 50 pokemons in total. Select all the equations Evan can solv
2 answers:
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Answer:
yield of this new bond is 4.42%
Step-by-step explanation:
given data
bond = $5000
coupon rate = 4.6%
purchased bond = $5195
to find out
yield of this new bond
solution
We get here first amount paid to the bond holder
amount paid = 4.6% × $5000
amount paid = $230
and
so Tim earned $230 on a bond that cost her $5195
so yield of this new bond =
yield of this new bond = 4.42 %
Answer:
A
Step-by-step explanation:
The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.
Please refer to the graph below. We are concerned with the red region.
In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.
The area for an equilateral triangle is given by:
Where <em>s</em> is the side length of the triangle.
Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.
Therefore, our volume is:
Substitute:
Evaluate the integral. Simplify:
Integrate using u-substitution:
Evaluate:
Therefore, the volume of the solid is:
Our answer is A.
