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Ira Lisetskai [31]

3 years ago

12

Duncan earned $22 in interest. If his investment paid 2.5% and he invested his money for 6 months, how much money did he origina

lly invest?
Show work please

1 answer:

anyanavicka [17]3 years ago

6 0

Answer:

For one month:22*.025=.55

For 6 moths: 6*.55 =3.3

The answer is 3.3 $

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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

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Diagonals of an isosceles trapezoid are perpendicular to each other and the sum of the lengths of its bases is 2a. What is its

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Area= a*height
the formula for an isosceles trapezoid is 1/2(base1+base2)*height. 1/2 base 2 and 2a will simplify to a base length of a. a times height or a*height

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Which expressions are equivalent to 2(-6c+3)+4c2(−6c+3)+4c2, left parenthesis, minus, 6, c, plus, 3, right parenthesis, plus, 4,

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A because it’s 8c+6-8c+6 minus

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Margaret is folding paper flowers for an art project.The number of paper flowers she can make varies dicetly with the amount of

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Answer:

168 in 7 hours.

Step-by-step explanation:

<u>We can't multiply.</u>

<u>We got to count up by 12's for each 1/2 hour.</u>

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168.

<u>Simplified:</u>

24, 48, 72, 96, 120, 144, 168.

<u>Estimate:</u>

12 = 1/2 hour
24 = 1 hour
36 = 1 1/2 hours
48 = 2 hours
60 = 2 1/2 hours
72 = 3 hours
84 = 3 1/2 hours
96 = 4 hours
108 = 4 1/2 hours
120 = 5 hours.
132 = 5 1/2 hours
144 = 6 hours
156 = 6 1/2 hours
168 = 7 hours.

Answer is 168.

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Answer:

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