Answer: Todd earned $40 mowing the neighbor's lawn.
Step-by-step explanation:
Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.
He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4
Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is
x/4 + 6
The amount left would be
x - (x/4 + 6) = x - x/4 - 6
When he went home, he had $24.00 left. It means that
x - x/4 - 6 = 24
x - x/4 = 24 + 6
x - x/4 = 30
Cross multiplying by 4, it becomes
4x - x = 120
3x = 120
x = 120/3
x = $40
A(t)=100e^(-rt).
We need to find r. When t=12.3 A(t)=50 (half of 100) = 100e^(-12.3r).
ln(0.5)=-12.3r so r=ln(0.5)/-12.3=0.0564 approx. So A(t)=100e^(-0.0564t).
300,000 + 25,000 + 800 + 9
Answer:
- <u><em>D. (-5/13, -12/13)</em></u>
Explanation:
It is indicated to <em>find the coordinates</em> of the <em>point T (5/13, 12/13) </em>at a distance <em>π + x.</em>
- π is an arc of half a circle, i.e. 180º.
Then, the distance π+ x means that the <em>point T</em> is rotated 180º.
The rule for the rotation of a point 180º around the origin is:
Applying that rule to the point T:
- (5/13, 12/13) → (-5/13, - 12/13) ← answer
(1/2)n - 4 2/5 because 1/2 n is decreased by 4 2/5.
