Caitlin has 27 $5 bills and 54 $10 bills.
Step-by-step explanation:
Given,
Worth of $5 and $10 bills = $675
Let,
Number of $5 bills = x
Number of $10 bills = y
According to given statement;
5x+10y=675 Eqn 1
She has twice as many $10 bills as $5 bills.
y=2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 25

Putting x=27 in Eqn 2

Caitlin has 27 $5 bills and 54 $10 bills.
Keywords: linear equation, substitution method
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Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
10/16 = 5/8
An equivalent fraction is:
20/32
the equation for compound interest is

we will see if it doubles or not
if t=1, we get A=P(1+r)
if t=2, we get A=P(1+r)^2
2(P(1+r))=P(1+r)^2 ?
2(1+r)=(1+r)^2 ?
2+r=r^2+2r+1
etc
when r=-1.618 or 0.618, then it doubles, but not when r is different things
not always
so no, it does not always double the amount of interest earned
Option A: SU, TU, ST is the right answer
Step-by-step explanation:
In a triangle
- The largest side and the largest angle are opposite to each other
- The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
- The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
- The smallest angle is m∠T = 25° so the shortest side is SU
- The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
Hence,
Option A: SU, TU, ST is the right answer
Keywords: Geometry, Triangles
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