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
Fiesta28 [93]
2 years ago
9

Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $

2.03 over a period of seven years.
Mathematics
1 answer:
Leno4ka [110]2 years ago
5 0

Answer:

7.429 cents

Step-by-step explanation:

Given that:

Price change = $1.51 to $2.03

Period of time = 7 years

Therefore, the annual inflation rate :

Difference in price / number of years

($2.03 - $1.51) / 7

$0.52 / 7

= 0.0742857 per year

= 0.0742857 * 100 (about 7.429 cents per year)

You might be interested in
Solve −5+1/4x=3x+6 by graphing.
erma4kov [3.2K]

Answer:

hope its right lol

5 0
3 years ago
Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum
Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series :  9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

6561^2 = 43046721

It means the missing number will be square of its previous number

Means 9^2 = 81, so missing number is 81.   :    Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, x = 3y + 2  ......equation (1)

Their sum is 22  means,  x+y = 22 .......equation (2)

Putting the value of x from equation1 into equation 2

3y + 2 + y = 22

4y + 2 = 22

Subtracting 2 in both sides

4y + 2 - 2 = 22 - 2

4y = 20

y = 5

x = 22 - y = 22 - 5 = 17

Means numbers are 17 and 5.   : Answer


Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as 2^2

27 could be written as 3^3

So , next number would be 4^4

4^4 = 256

Next one is 5^5 = 3125

So, the missing number is 256   :    Answer


Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12.   : Answer



Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = 3 * (2-1) = 3

Between 3 plants, the distance is = 3 * (3-1) = 6

So, between 23 plants, the distance is = 3 * (23-1) = 3 * 22 = 66

hene the distance between first and last plant woule be 66 feet.   :   Answer



7 0
2 years ago
Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
2 years ago
A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if
Yakvenalex [24]

Answer:

The area of a label is 62.8\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

LA=2\pi rh

we have that

A can is 4 inches wide

so

The diameter of the can is 4 inches

r=4/2=2\ in ----> the radius is half the diameter

h=8-3=5\ in ----> height of the label

substitute in the formula

LA=2(3.14)(2)(5)=62.8\ in^{2}

5 0
3 years ago
An animal shelter spends 5.50 per day to care for each bird and 8.50 per Day to care for each cat and a notice that the shelter
Deffense [45]

Answer:

19 birds

Step-by-step explanation:

First, I wrote my two equations:

5.5x +8.5y = 291.5

x + y = 41

Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!

6 0
3 years ago
Other questions:
  • The function in the table below shows the relationship between the total number of houses built in an area and the nunber of mon
    10·1 answer
  • 128 degree is used in a pie chart to represent 32 people. how many people are there altogether
    11·2 answers
  • Express 140 as a product of its prime factors
    7·1 answer
  • Which of these nunbers is composite? 3,5,19,71,85
    13·2 answers
  • Never mind don't answer plz
    10·1 answer
  • Janet wanted to understand the whether grade level had any relationship
    10·1 answer
  • The graph of the function f(x) is shown
    11·1 answer
  • What property is shown in the example below?
    12·2 answers
  • How to simplify this ......​
    8·2 answers
  • HELLPP PLZZ Which value from the set {3, 9, 24, 36} makes m(2^2 + 2^3 ) = 3 • 12 true?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!