A grocery store has an empty display container that is to be filled with bags that contain at most 20 oranges. After a clerk placed the first 20 bags of oranges into the container, the average (arithmetic mean) number of oranges per bag was 9. What is the least number of oranges that can be in the 21st bag if the average number of oranges per bag is at least 11 after 25 bags are placed in the container?

Answer:

Mixed Number Form: 2 1/3

Step-by-step explanation:

The amount of money you would need to deposit at 9% annual interest compound monthly to have K12000 in the account after 6 years is K5967.06.

To calculate the amount of money required, we can use the formula for compound interest:

Amount = Principal * (1 + (rate/n))^(n*t)

Where: Principal = the initial amount of money invested Rate = the annual interest rate (as a decimal)N = the number of times per year interest is compounded T = the number of years

The given information is as follows: Principal = PV = ?Rate = r = 9% = 0.09N = 12 (monthly compounding)T = 6 years Amount = FV = K12000

We can substitute the given values into the formula to solve for

\(PV.K12000 = PV * (1 + (0.09/12))^ (12*6)K12000 = PV * (1.0075)^72PV = K12000/(1.0075)^72PV\)

\(= K12000/2.0128PV\)

\(= K5967.06\)

Therefore, the amount of money you would need to deposit at 9% annual interest compound monthly to have K12000 in the account after 6 years is K5967.06.

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Answer:

The perimeter is 16 yards.

_

Step-by-step explanation:

♤You can solve using the pythagorean theorem.

♡We will be using the variable 'x' to represent the variable 'b' in the picture provided.

◇In the pythagorean theorem, a and b represents bases while the c represents the hypotenuse (diagonal).

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {12}^{2} = {20}^{2} \\ {x}^{2} + 144 = 400 \\ \frac{ \: \: \: \: \: - 144 = - 144}{ {x}^{2} = \sqrt{256} } \\ x = 16\)

A function can have zero to many parameters, and it can return only one (option c).

In mathematics, a function is a rule that maps each element from one set, called the domain, to a unique element in another set, called the range.

The number of parameters a function can take determines the number of arguments required to call the function.

For instance, a function f(x) takes one parameter, and it requires one argument to be called.

On the other hand, a function g(x,y,z) takes three parameters, and it requires three arguments to be called. However, a function h() takes no parameters and does not require any argument to be called.

Hence the correct option is (c).

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The translation to an equation of the mathematical statement given as The area A of a square is the length of a side L squared is A = L^2

The mathematical statement is given as:

The area A of a square is the length of a side L squared

The above expression can be rewritten as:

The area A of a square = the length of a side L squared

Squared is represented as ^2

So, we have:

The area A of a square = the length of a side L^2

The above expression can be rewritten as:

The area A of a square = L^2

Lastly, the above expression can be rewritten as:

A = L^2

Hence, the translation to an equation of the mathematical statement given as The area A of a square is the length of a side L squared is A = L^2

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Answer:

First, we need to determine the slope of the line going through the two points. The slope can be found by using the formula:  

m

=

y

2

−

y

1

x

2

−

x

1

Where  

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substituting the values from the points in the problem gives:

m

=

5

−

7

3

−

0

=

−

2

3

Now, we can use the point-slope formula to find an equation going through the two points. The point-slope formula states:  

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where  

m

is the slope and  

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope we calculated and the values from the first point gives:

(

y

−

7

)

=

−

2

3

(

x

−

0

)

We can also substitute the slope we calculated and the values from the second point giving:

(

y

−

5

)

=

−

2

3

(

x

−

3

)

We can also solve the first equation for  

y

to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is:  

y

=

m

x

+

b

Where  

m

is the slope and  

b

is the y-intercept value.

y

−

7

=

−

2

3

x

y

−

7

+

7

=

−

2

3

x

+

7

y

−

0

=

−

2

3

x

+

7

y

=

−

2

3

x

+

7

Answer:

see explanation

Step-by-step explanation:

Given that G is directly proportional to h then the equation relating them is

G = kh ← k is the constant of proportion

To find k use the condition h = 40 when G = 2200, then

2200 = 40k ( divide both sides by 40 )

55 = k

1

G = 55h ← equation of proportion

11

When h = 22, then

G = 55 × 22 = 1210 joules

111

When G = 3025, then

3025 = 55h ( divide both sides by 55 )

h = 55 m

When you multiply a negative number by another negative number, the result is always a positive number.

This rule is based on the properties of multiplication and the concept of negative numbers.

When two negatives are multiplied, the negative signs "cancel out" each other. Mathematically, if you have -a multiplied by -b, where a and b are positive values, the result is given by ab.

For example, if you multiply -2 by -3, the product is 6, which is a positive number. This can be explained by the idea that multiplying two numbers with opposite signs results in a negative product, while multiplying two numbers with the same sign (both negative) produces a positive product.

Therefore, when you multiply a negative by a negative, the outcome is a positive number.

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well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}\)

now, let's apply the 5% taxation to that

\(\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}\)

Answer:

Step-by-step explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00    
off 20% (-)8.00 = $32.00    
. . . . . . . . . . . . 5% (+)  1.60 = $33.60

answer D. $33.60

       

Answer:

Step-by-step explanation:

to find the mean is another way of saying to find the average. To do this we add all the listed values(45,52,17,63,57,42,54,58) then divide them by how many values we are given which in this case is 7. so the mean would be 49. now to find the median we must first put the values in numeric order(17,42,45,52,54,57,58,63) then see the number in the middle or in cases or even number of values we find the two values in the middle of the set then we add them together and divide by two. which would be 53. now to find the mode we simply find the most reoccurring number in the set and seeing as there are no repeated values in this set there is no mode.

Answer:

13.20 or 1.5%.

Step-by-step explanation:

Since Emily borrowed 880, you need to subtract 893.20 from 880. That equals 13.20. The percentage of interest is 1.5 because 6 months is half of a year and the annual interest rate is 3 percent.

Answer:

2,4,3,2

Step-by-step explanation:

Range is the y in ( x , y )

Answer: 2 4 3 2

Step-by-step explanation:

Based on the information in the graph, it can be inferred that the total cost would be: 233.521, mark up: 116.75, and selling price: 350.271.

To calculate the total cost we must multiply the unit price of each product by the number of units we need. Once we get this result, we add everything to find the total cost.

To calculate the mark up we must divide the total cost of each ingredient in two. Once we have these results, we add everything to find the mark up.

To calculate the selling price we must add the mark up and the total cost of each ingredient. Additionally, to find the total selling price of all the products we must add all the values.

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Answer:

0.88%y + 0.03%

K12 is how i know the answer

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

9,900

Step-by-step explanation:

I=PRT

I=12,000*2.75*30=9,900

                100

We have a table of values that shows the ages of two individuals. The data can be written out as an ordered pair as follows;

The equation is now represented on a graph as shown;

Answer: 14 blocks

Step-by-step explanation: Go up on the y-axis by 14 and you'll get (10,-8).

Answer:

14 blocks :D :( :D

Step-by-step explanation:

Answer:

24 possibilities

Step-by-step explanation:

2*2*6=24

24 possibilities

The number of different sums possible is 24 possibilities.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We have been given that pick one card from each set and find the sum.

Therefore, we need to find the number of different sums that are possible;

2 x 2 x 6=24

24 possibilities

Hence, the number of different sums possible is 24 possibilities.

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Answer:

A = $800 -$350 -30w-30f-2c

Step-by-step explanation:

Given

Total  sum of money in account of Marissa on July 1 - $800

Sum of money earned per week = $w

Money spend of following -

gasoline - $g per day

Food - $f per day

New clothes every two week - $c

Rent per month - $350

Total  sum of money in account of Marissa on July 1

A = $800 -$350 -30w-30f-2c

The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)

The given differential equation is: 2xyy' + (x² - y²) = 0

We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.

Put y = vx and y' = v + xv'

Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x

Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x

Substituting these values in the given differential equation:

2x(v)(v + xv') + (x² - v²x²) = 0

2v + 2x²v' + x - v² = 0

2x²v' + 2v/x - v³/x = -1/x

We can write the above differential equation as:

2x²dv/dx + 2v/x = v³/x - 1/x

Separating the variables and integrating both sides:

∫dx/x = ∫[v/(v² - 2)]dv/x

⇒ ln |x| + ln |v² - 2| + C

⇒ ln |x(v² - 2)| = ln |Cx|

⇒ v² - 2 = Cx² (where C is a constant)

⇒ v = ±√(Cx² + 2)

Putting the value of v in y = vx, we get:

y = x√(Cx² + 2) and y = -x√(Cx² + 2)

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Answer:

A ( 6 . -9 ) it's so easy . . .. ..

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. They both experience the same impulse.

The impulse experienced by an object during a collision is given by the change in momentum of the object. Momentum is defined as the product of mass and velocity.

In this scenario, we are not given the masses or the durations of the collisions. However, we can make some assumptions to determine which ball experiences the larger impulse.

Assuming that the balls have the same mass, we can compare their velocities before and after the collision with the floor. Both balls start with the same initial velocity (downward) and experience the same change in velocity (upward) after the bounce. Therefore, the change in momentum and the impulse experienced by both balls should be the same.

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Answer:

I) y = 1/x

ii) y = 1/6

Step-by-step explanation:

inversely proportional just means that the right hand side is the inverse of the left hand side of an equation.

Answer:

D. -29.5

Step-by-step explanation:

−14.160÷−0.48

Expand -14.16 over -0.48 by multiplying both numerator and the denominator by 100.

-1416 / -48

and lastly reduce the fraction -1416 / -48 to lowest terms by extracting and canceling out -24 to get 592/2 and

59/2 = 29 1/2 = 29.5

`A - (1/3)A = (2/3)A` it is the infinite series for the total area left blank if this process is continued indefinitely.

The question states that the midpoints of the sides of an equilateral triangle are connected to form four smaller equilateral triangles.

To determine the total area left blank if this process is continued indefinitely, an infinite series can be used.

When an equilateral triangle is divided into four congruent equilateral triangles, the central triangle is left blank.

Thus, the total area left blank is the sum of the area of the central triangle and the area of the central triangle in each subsequent smaller triangle formed.

Let's assume that the area of the equilateral triangle is A.

The area of the central triangle in the first level is `1/4` of `A`.

The ratio of the sides of the central triangle to the sides of the large equilateral triangle is 1:2,

so the area of the central triangle in each subsequent triangle is `1/4` of the area of the central triangle in the previous triangle.

This gives us the following sequence of central triangle areas:`

1/4A, 1/16A, 1/64A, 1/256A, ....`

This sequence forms a geometric progression with the first term `1/4A` and the common ratio `1/4`.

Thus, the sum of the infinite series of the central triangle areas is given by the formula:

S = a / (1 - r)

where a = `1/4A` (the first term) and

r = `1/4` (the common ratio)

S = `1/4A` / (1 - `1/4`)S = `1/3A

Therefore, the total area left blank is `A - (1/3)A = (2/3)A`.

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Answer:

10

Step-by-step explanation:

2x2=4

1x2=2

2x2=4

4+2+4=10

write this down if u need to show work

The sailcloth having vertices of 0, 0), (4, 0), and (3, 6), with a sailcloth cost  of $11.75 per square yard is $141

The given parameters;

Cost of the sailcloth per square yard = $11.75

Vertices of the sailcloth are; (0, 0), (4, 0), and (3, 6)

The cost of purchasing the sailcloth = The area of the sailcloth × Cost per square yard

Taking the base length as; 4 - 0 = 4

The height = The distance from the x-axis to the highest point on the sailcloth = The highest y-value = 6

Which gives;

The area of the sailcloth = Area of a triangle = \(\dfrac{1}{2} \times 4 \times 6 = 12\)

The area of the sailcloth = 12 yard²

The cost of purchasing the sailcloth = 12 yard² × $11.75/yard² = $141

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