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]
2 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]2 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
30 points! <br> Since there are a few questions please help.
boyakko [2]

Answer:

black socks = 36

total socks 48

apple's = 6

strawberry sweets = 72

2nd class = 24

total stamps = 42

Dylan = 75

total student 1900

8 0
3 years ago
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality  (20 + 0.5x) + 0.15(20 + 0.5x)   ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x:  39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0
3 years ago
Where does the section of the bridge meet ground level? Solve 0 = -x2 + 10x - 8
djverab [1.8K]
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17

The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123

4 0
3 years ago
Read 2 more answers
What is the answer to this question?
Artemon [7]
The answer is 2143.57mm
5 0
3 years ago
Angles 1 and 2 are complementary. If angle 1 = 35, then what is the measure of angle 2?
enot [183]

Answer:

doge

Step-by-step explanation:

EAnswers avatar

░░░░░░░░░▄░░░░░░░░░░░░░░▄

░░░░░░░░▌▒█░░░░░░░░░░░▄▀▒▌

░░░░░░░░▌▒▒█░░░░░░░░▄▀▒▒▒▐

░░░░░░░▐▄▀▒▒▀▀▀▀▄▄▄▀▒▒▒▒▒▐

░░░░░▄▄▀▒░▒▒▒▒▒▒▒▒▒█▒▒▄█▒▐

░░░▄▀▒▒▒░░░▒▒▒░░░▒▒▒▀██▀▒▌

░░▐▒▒▒▄▄▒▒▒▒░░░▒▒▒▒▒▒▒▀▄▒▒▌

░░▌░░▌█▀▒▒▒▒▒▄▀█▄▒▒▒▒▒▒▒█▒▐

░▐░░░▒▒▒▒▒▒▒▒▌██▀▒▒░░░▒▒▒▀▄▌

░▌░▒▄██▄▒▒▒▒▒▒▒▒▒░░░░░░▒▒▒▒▌

▀▒▀▐▄█▄█▌▄░▀▒▒░░░░░░░░░░▒▒▒▐

▐▒▒▐▀▐▀▒░▄▄▒▄▒▒▒▒▒▒░▒░▒░▒▒▒▒▌

▐▒▒▒▀▀▄▄▒▒▒▄▒▒▒▒▒▒▒▒░▒░▒░▒▒▐

░▌▒▒▒▒▒▒▀▀▀▒▒▒▒▒▒░▒░▒░▒░▒▒▒▌

░▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▒▄▒▒▐

░░▀▄▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▄▒▒▒▒▌

░░░░▀▄▒▒▒▒▒▒▒▒▒▒▄▄▄▀▒▒▒▒▄▀

░░░░░░▀▄▄▄▄▄▄▀▀▀▒▒▒▒▒▄▄▀

4 0
2 years ago
Other questions:
  • Graph the lines by finding the points of intersection with the axes (intercepts): y=2x+2
    5·1 answer
  • What is a possible factorization of a polynomial with –5, 3, and i as zeros?
    10·1 answer
  • How do you do Pythagorean theorem
    8·1 answer
  • Choose the steps that you could use to subtract a negative fraction from a positive decimal? Select all that apply.
    5·1 answer
  • How much greater is 3 1/4 than 2 1/2
    8·2 answers
  • Carlo attends art class every 4 weeks, chess club every 2 weeks, and fencing lessons every 3 weeks. If he attended all three thi
    15·2 answers
  • Here are the answer choices pls hurry thank you
    12·1 answer
  • Which expression results from using the Commutative Property of Addition to rewrite 9 5/6 + ( − 6 2/3 ) + 8 1/6 ?
    11·1 answer
  • Hi please help i’ll give brainliest please
    14·1 answer
  • Help on math aging sry if this is to much middle school question
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!