Your answer is 21.6
Step by Step:
-put it like a regular multiplication problem
-For the 6 add a decimal and then two 0s
-make sure your decimals lines up together
-once you get your answer you notice 3.60 has one number.(Leave the zero out) ^
- that’s how many times you move to put your decimal in the right place
Answer:
Step-by-step explanation:
<u>Use circumference formula to find one rotation:</u>
- C = 2πr = πd
- C = 3.14*3= 9.42 feet
<u>Full travel of 12 rotations:</u>
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