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Papessa [141]
3 years ago
5

Find the interest earned on a $125 investment at a 7.5% simple interest rate for 6 months? Use the formula I = Prt.

Mathematics
2 answers:
fredd [130]3 years ago
8 0
$5,625 is the correct answer for this because of the additional
katovenus [111]3 years ago
3 0
The answer is $5,625
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Find the area of the shaded region ​
o-na [289]

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then <u>subtract the area of the circle from that of the hexagon's</u>, what's leftover is what we didn't subtract, namely the shaded part.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)

A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}

5 0
2 years ago
M +9 = -3<br> 8<br> What is the answer for m
harina [27]

Answer:

m=-12

Step-by-step explanation:

Not sure where the 8 comes from, but you would subtract 9 from the left side. The result is -12.

3 0
3 years ago
June has a total of 35 marbles. She has 4 times as many blue marbles as green marbles. She writes the following system of equati
Ganezh [65]

Answer:

June has 7 green and 28 blue marbles

Step-by-step explanation:

b + g = 35

b = 4g

Use substitution method to solve them simultaneously

4g + g = 35

5g = 35

g = 7

b = 4g = 4(7) = 28

b = 28, g = 7

She has 7 green and 28 blue marbles

8 0
3 years ago
The diagram represents a 12cm by 4cm what is the area? ​
olga_2 [115]
Well, to calculate the area, we would simply do length times width and we would get our area.
Area = Length * Width
Area = 12cm * 4cm
Area = 48cm squared.
So, in conclusion, the area is 48 cm squared.
6 0
3 years ago
PLEASE ANSWER AS QUICK AS POSSIBLE
Lady_Fox [76]

Answer:

  (a)  h^-1(x) = (x+6)/6

Step-by-step explanation:

The inverse relation can be found by solving for y: x = h(y).

<h3>Solution</h3>

  x = h(y) . . . . . the inverse relation

  x = 6y -6 . . . . . use the function definition

  x +6 = 6y . . . . add 6

  (x +6)/6 = y . . . . divide by 6

The inverse function is ...

  \boxed{h^{-1}(x)=\dfrac{x+6}{6}}

4 0
2 years ago
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