1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nexus9112 [7]
3 years ago
6

A spy is trying to escape. She must get by four guards. Each guard takes half of her remaining money. She then $64 for her plane

ticket. How much money does she have to start with in order to make her escape?
Mathematics
1 answer:
Komok [63]3 years ago
5 0

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

y=a(b^{x})

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

y=a(0.50^{x})

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

64=a(0.50^{4})

64=a(0.0625)

a=64/(0.0625)

a=\$1,024

therefore

The spy must have at the start the amount of $1,024 in order to escape

You might be interested in
You guys can do at least 2 sentences or 3<br>thank you ​
aalyn [17]
If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.
5 0
2 years ago
Simplify.<br> 10y-5y<br> Tfgfffgghjjjjb
sweet [91]
Its 5y sorry if it’s wrong
4 0
2 years ago
Image.......................
babunello [35]

Answer:

10.75

Step-by-step explanation:

The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.

Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

so, a childs ticket is 4.75

now to find the cost of an adult ticket you add 6,

4.75 + 6

= 10.75

3 0
3 years ago
A data set has a mean of x = 71 and a standard deviation of 11.6. Find the z-score for each of the following.
olchik [2.2K]

Answer:

WHY MUST I CRYYYYY

Step-by-step explanation:

5 0
2 years ago
1. What is the value of x?
sergij07 [2.7K]

Answer:

d and ef

Step-by-step explanation:

efwfnhew'foehfnwekf;esf

7 0
3 years ago
Other questions:
  • What the answer of this question?
    7·2 answers
  • Please help me!! how do i solve this?
    14·1 answer
  • What is the exact distance from (-1,4) to (6,-2)? in units​
    9·1 answer
  • Help me understand please ;-;
    6·2 answers
  • Tamar ran 2/3 of a mile every day for 5 days. About how far did he run altogether what is the awnser plz help me
    11·2 answers
  • Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A $9000.00, r 1
    5·1 answer
  • I need help with these 3 questions. 25 points!!!
    14·1 answer
  • 5x + 3y = 27 and y = 2x – 2
    9·1 answer
  • Natasha was thinking of a number. Natasha divides by 5, then adds 11 to get an answer of 11. What was the original number?
    8·1 answer
  • Expand then fully factorise 9(f + 3) +36f - 3)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!