Answer:
59 miles per hour
Step-by-step explanation:
Answer: the value of this investment after 20 years is $112295.2
Step-by-step explanation:
We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as
S = R[{(1 + r)^n - 1)}/r][1 + r]
Where
S represents the future value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
Since there are 12 months in a year, then
r = 0.066/12 = 0.0055
n = 12 × 20 = 240
R = $225
Therefore,
S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]
S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]
S = 225[{(3.73 - 1)}/0.0055][1.0055]
S = 225[{(2.73)}/0.0055][1.0055]
S = 225[496.36][1.0055]
S = $112295.2
The <em>trigonometric</em> expression 
is equivalent to the <em>trigonometric</em> expression 
.
<h3>How to prove a trigonometric equivalence</h3>
In this problem we must prove that <em>one</em> side of the equality is equal to the expression of the <em>other</em> side, requiring the use of <em>algebraic</em> and <em>trigonometric</em> properties. Now we proceed to present the corresponding procedure:
The <em>trigonometric</em> expression is equivalent to the <em>trigonometric</em> expression .
To learn more on trigonometric expressions: brainly.com/question/10083069
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Answer:
The correct option is;
B. I and II
Step-by-step explanation:
Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE
The above statement is correct because given that ΔABC and ΔABE are inscribed in the circle with center D, their sides are equivalent or similar to tangent lines shifted closer to the circle center such that the perpendicular bisectors of the sides of ΔABC and ΔABE are on the same path as a line joining tangents to the center pf the circle
Which the indicates that the perpendicular the bisectors of the sides of ΔABC and ΔABE will pass through the same point which is the circle center D
Statement II: The distance from C to D is the same as the distance from D to E
The above statement is correct because, D is the center of the circumscribing circle and D and E are points on the circumference such that distance C to D and D to E are both equal to the radial length
Therefore;
The distance from C to D = The distance from D to E = The length of the radius of the circle with center D
Statement III: Bisects CDE
The above statement may be requiring more information
Statement IV The angle bisectors of ABC intersect at the same point as those of ABE
The above statement is incorrect because, the point of intersection of the angle bisectors of ΔABC and ΔABE are the respective in-centers found within the perimeter of ΔABC and ΔABE respectively and are therefore different points.
