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
Dmitry [639]
3 years ago
5

Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

the bag of groceries after any number of years. Predict when the bag of groceries will double in price.
Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is C=25(1.025)^x

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28

It will take 28 years

You might be interested in
PLSSS HELP!! I need the answer m.
Alborosie
6578 i don’t know don’t ask me bit
3 0
3 years ago
Solve the equation 29 - (x+8) = 6x - 7
max2010maxim [7]
First step you should do is s<span>implify both sides of your equation:
</span>29-(x+8)=6x-7
Distribute the Negative Sign:
29+-1(x+8)=6x-7
29+-1x+(-1)(8)=6x-7
29+-x+-8=6x-7
29+-x+-8=6x+-7
<span>Combine Like Terms:
</span>(-x)+(29+-8)=6x-7
-x+21=6x-7
<span>Subtract 6x from both sides:
</span>-x+21-6x=6x-7-6x
-7x+21=-7
<span>Subtract 21 from both sides:
</span>-7x+21-21=-7-21 
-7x=-28 
<span>Divide both sides by -7:
</span>-7x/-7 = -28/-7
And now your answer should be:
x=4
~~~~~
Good luck~ Sans
6 0
3 years ago
An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A
nadya68 [22]

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

6 0
3 years ago
How to equal 5 using the numbers 24,6,9,3,2
AfilCa [17]
24 divided by 6 plus 9 subtract 3 divide 2 =5
6 0
3 years ago
What is the slope of the equation X+2y=4
Anton [14]

Answer:

x 6ryfdrrtfgfyjgtyrddt

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Solve the equation<br>(5p-8)/2=(7p+4)/6​
    10·1 answer
  • Which of the following is equivalent to sqrt-75
    13·1 answer
  • Does a UPC of 0 41800 48700 3 check? Explain
    5·1 answer
  • Which expression is equal to 20.92 ÷ 6.8?
    13·1 answer
  • Independent Practice
    5·1 answer
  • Can i have some helps plz​
    11·1 answer
  • Raymond's age plus two times Melanie's age equals 75. Raymond is 3 years older than Melanie. How old is Melanie? ?​
    9·2 answers
  • Sophie spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -8.6
    6·2 answers
  • Juli buys a flat with 48 flowers. She was wants to plant them in equal rows of 5 flowers. How many rows can Juli plant? How many
    13·1 answer
  • A rectangular strip of land has length of 1/4 mile and an area of 5/6 square mile
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!