9514 1404 393
Answer:
a) 3.18 years
b) 13.52 years
c) 23.10 years
Step-by-step explanation:
Solving for t, we find ...
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P)/r
For P=100 and r=.03, the times are ...
a. $110: t = ln(110/100)/.03 ≈ 3.18 years
b. $150: t = ln(150/100)/.03 ≈ 13.52 years
c. $200: t = ln(200/100)/.03 ≈ 23.10 years
4.
Minimum: 20
First Quartile: 44
Median: 51
Third Quartile: 57
Maximum: 86
Ascending order : 20 41 44 44 49 53 55 57 80 86
Answer:

Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:

where
is the length of the side: 
thus the area of the square is:


Area of the triangles:
the are of 1 triangle is given by

where
is the base of the triangle:
(the base of the triangle is the side of the square)
and
is the height of the triangle: 
thus, the area of 1 triangle is:



the area of the 4 triangles is (we multiply by 4):


finally we add the area of the square and the area of the 4 triangles to find the total surface area:


Answer:
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A reflection about the x axis and a reflection about the y axis