Problem
After five years of earning interest at an annual rate of 3%, an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment.
Result
The initial investment was $6,333.
Solution
P = I/ i · t
P = 950/ 0.03 · 5
P = 6,333.333
a/c = d/a
you would cross multiply to get aa = cd
aa = a^2
so you would have a^2 = cd
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
Answer:
100π
Step-by-step explanation:
Area of a circle formula: πr²
The radius would be half of 20 m
So the radius, r is 10 m
Plug that in
πr²=π·10²=100π
