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
torisob [31]
2 years ago
13

the minimum wage is established by the federal government. in 1938 the minimum wage was $0.25 per hour and it has risen to $7.25

per hour in 2009. Find an exponential function in the for, f(x)=ab^x
Mathematics
1 answer:
sasho [114]2 years ago
4 0

Answer:

0.25 = a b^0

a = 0.25

So then our model is given by:

y = 0.25 b^x

Now using the second condition we know that x = 2009-1938 =71 so then we have this:

7.25 = 0.25 b^{71}

We can divide both sides by 0.25 and we got:

\frac{7.25}{0.25}=29 = b^{71}

And then solving for b we got:

b = 29^{1/71}= 1.04856934

So then our model would be given by:

y = 0.25 (1.04856934)^x

Step-by-step explanation:

For this case we know that for 1938 the minimum wag was 0.25 per hour and for 2009 the new minimum wag was 7.25 per hour.

We want to find an exponential function like this:

y = a b^x

Where y represent the value for the minimum wage and x represent the number of years since 1938.

USing the first condition given we know that for 1938 the value of x = 0 and w ehave:

0.25 = a b^0

a = 0.25

So then our model is given by:

y = 0.25 b^x

Now using the second condition we know that x = 2009-1938 =71 so then we have this:

7.25 = 0.25 b^{71}

We can divide both sides by 0.25 and we got:

\frac{7.25}{0.25}=29 = b^{71}

And then solving for b we got:

b = 29^{1/71}= 1.04856934

So then our model would be given by:

y = 0.25 (1.04856934)^x

You might be interested in
Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
8 0
3 years ago
Assume that you randomly select 6 cards from a deck of 52. what is the probability that all of the cards selected are hearts?
Ira Lisetskai [31]
There are 13 hearts in a 52 deck.

You can think about it like this:

P = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47) = 0.00008428903476

5 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
vladimir2022 [97]
0.62
Should be correct
6 0
2 years ago
What is -6+3/4 and how did you get your answer
sashaice [31]

Answer:

-0.75

Step-by-step explanation:

-6 + 3 = -3

-3/4 = -0.75

4 0
3 years ago
Read 2 more answers
Approximately 80% of households in the United States have computers. Of those 80%, 90% have Internet access. Find the probabilit
Leni [432]

The probability that a U.S. household selected at random has a computer and has Internet access will be 0.72. The C and I are independent events. Then the correct option is B.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Approximately 80% of households in the United States have computers. Of those 80%, 90% have Internet access.

Then the probability that a U.S. household selected at random has a computer and has Internet access will be

P(C and I) = 0.80 × 0.90

P(C and I) = 0.72

Then the C and I are independent events.

Then the correct option is B.

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

5 0
1 year ago
Other questions:
  • Please answer this correctly
    7·1 answer
  • What is the answer to this question​
    13·2 answers
  • Laurent is planning a family reunion. She has tables that seat 6 people each. All the tables and chairs have 4 legs each. Altoge
    11·2 answers
  • What is the value of p? 13^2 = p
    15·1 answer
  • How do u find the volume of rectangular brick?
    8·1 answer
  • The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope
    11·1 answer
  • What is the formula for the distance between 2 points?
    14·1 answer
  • A wheel rotates on an axle 84 times in 6 min. The number of rotations varies directly with the time the wheel rotates.
    9·1 answer
  • Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of figure ABCD?
    7·2 answers
  • PLZ HELP!!! WILL GIVE BRAINLIEST
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!