Answer:
Using a calculator, we can check that e=2.718281828.
Step-by-step explanation:
Lets evaluate each one of our expression the check which one is closest to e:
(1+ \frac{1}{31} )^{31}=2.675686306
(1+ \frac{1}{32})^{32}=2.676990129
(1+ \frac{1}{34} )^{34}=2.679355428
(1+ \frac{1}{33} )^{33}=2.678207651
We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.
Answer:
10.4 to nearest tenth.
Step-by-step explanation:
If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.
Altitude of each triangle = sqrt(2^2 - 1^2)
= sqrt3.
So the area of 1 triangle = 1/2 * 2 * sqrt3
= sqrt3
Therefore the area of the hexagon = 6 * sqrt3
= 6sqrt3
= 10.3923
Answer:
$4785.68
Step-by-step explanation:
Original amount: <u>$</u><u>4</u><u>2</u><u>3</u><u>0</u>
Interest for 1 year: <u>4</u><u>.</u><u>2</u><u>%</u>
<em>First year;</em>
<em>S</em><em>e</em><em>c</em><em>o</em><em>n</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>;</em>
<em>T</em><em>h</em><em>i</em><em>r</em><em>d</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em> </em><em>(</em><em>t</em><em>o</em><em>t</em><em>a</em><em>l</em><em> </em><em>b</em><em>a</em><em>l</em><em>a</em><em>n</em><em>c</em><em>e</em><em> </em><em>a</em><em>f</em><em>t</em><em>e</em><em>r</em><em> </em><em>3</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>s</em><em>)</em><em>;</em>
Round the number;
<em><u>$4785.68</u></em>
YOUR ANSWER hope this helps :))
Sorry i wish i knew the answer i’m actually learning that in class but i don’t quite understand it
Answer:
Step-by-step explanation:
The average length of the weird trapezoidal shape on the left is
(2 m + 10 m)/2, or 6 m. The width is 4 m, so the area is 24 m^2.
The area of the semicircle is (1/2)(pi)(2 m)^2, or 2pi m^2.
Thus, the overall area of the green shape is 24 m^2 + 2pi m^2.