Answer:
The spy must have at the start the amount of $1,024 in order to escape
Step-by-step explanation:
Let
a ------> amount of money that the spy must have at the start to escape
y ----> the remaining money
x ----> the number of guards
In this problem the remaining money is going to be reduced by half, every time the spy passes through a guard, so we can use an exponential function of the form

where
a is the initial value (amount of money at the start)
b is the base
b=(1-r)
r is the rate of decay
In this problem we have
r=50% -----> r=0.50
The value of b is
b=(1-0.50)=0.50
substitute

we know that
In order to escape after the fourth guard the amount of money remaining must be equal to $64
so
For x=4, y=$64
substitute in the equation and solve for a




therefore
The spy must have at the start the amount of $1,024 in order to escape
Answer:
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Step-by-step explanation:
i cant see the question very well
Answer:
3. B.
1. 3551.
Step-by-step explanation:
3. For two equations to have infinite solutions, the equations must be the same.
y = -5x + 6
5x + y - 6 = 0
Multiply the whole thing by 2.
10x + 2y - 12 = 0
B.
1. Michelle rides roller coasters 3 times and plays the super swing 5 times, which means that A = 3 and B = 5.
Marty rides the roller coasters 5 times and plays the super swing 1 time. That means C = 5 and D = 1.
So, your answer will be 3551.
Hope this helps!
Keep doing each step manually, and see where it slips up:
−7.9+8.2−3.4+2.1=−1
−7.9+8.2+(−3.4)+2.1=−1
−7.9+(−3.4)+8.2+2.1=−1
(−7.9+(−3.4))+(8.2+2.1)=−1
−11.3+10.3=−1