which of the following equations represent the profit-maximizing combination of resources for a firm?

The principal amount if the interest rate is 3.5% a year is equal to $3000.

Given the following data:

Conversion:

12 months = 1 year

21 months = 1.75 year

To calculate the principal amount if the interest rate is 3.5% a year:

Mathematically, simple interest is given by the formula:

\(S.I = \frac{PRT}{100}\)

Where:

Making P the subject of formula, we have:

\(P = \frac{100S.I}{RT}\)

Substituting the given parameters into the formula, we have;

\(P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}\)

Principal amount, P = $3000

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did it and it is right hope this helps

The period of the trigonometric function is -2π/3.

To determine the period of the trigonometric function based on the given information, we need to consider the pattern of the graph and identify the interval over which it repeats.

Given that the maximum point is at (-π, 7.7) and the minimum point is at (-1/3π, -6.7), we can observe that the graph completes one full oscillation between these two points.

The distance between the maximum and minimum points corresponds to half of the period. Therefore, the full period of the function can be found by doubling this distance.

The distance between (-π, 7.7) and (-1/3π, -6.7) can be calculated as follows:

Δx = -1/3π - (-π) = π/3π - π = -π/3

Since the full period is twice this distance, we multiply by 2:

2 * (-π/3) = -2π/3

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Answer:B

Step-by-step explanation: Have a great day<3 :)

Answer:

Step-by-step explanation:

Given function:

The profit if 750 students are enrolled:

The equation is

Put x=750

p(750)=0.4(750)²-19(750)=$210750

Answer:

\(Length = 25cm\)

Step-by-step explanation:

Given

Brass Shape: Square

\(Density = 4.2g/cm^3\)

\(Mass = 1.05kg\)

\(Height = 4mm\)

Required

Determine the length of the plate

First, we need to calculate the Volume of the Brass using

\(Density = \frac{Mass}{Volume}\)

Make Volume the subject of formula

\(Volume = \frac{Mass}{Density}\)

Substitute 1.05kg for Mass and 4.2g/cm³ for Density

\(Volume = \frac{1,05\ kg}{4.2\ g/cm^3}\)

Convert 1.05 kg to grams

\(Volume = \frac{1.05 * 1000\ kg}{4.2\ g/cm^3}\)

\(Volume = \frac{1050 \ kg}{4.2\ g/cm^3}\)

\(Volume = \frac{1050 \ kg}{4.2\ g/cm^3}\)

\(Volume = 250cm^3\)

Next is to determine the Area of the brass;

\(Volume = Height * Area\)

Substitute 250cm³ for Volume and 4mm for Height

\(250cm^3 = 4mm * Area\)

Convert mm to cm

\(250cm^3 = 4 * 0.1cm * Area\)

\(250cm^3 = 0.4cm * Area\)

Divide both sides by 0.4cm

\(\frac{250cm^3}{0.4cm} = \frac{0.4cm * Area}{0.4cm}\)

\(\frac{250cm^3}{0.4cm} =Area\)

\(625cm^2 = Area\)

\(Area = 625cm^2\)

Lastly, we'll calculate the length of the brass

Since the brass is square based;

\(Area = Length^2\)

Substitute 625cm² for Area

\(625cm^2 = Length^2\)

Take square root of both sides

\(\sqrt{625cm^2} = Length\)

\(25cm = Length\)

\(Length = 25cm\)

Hence, the length of the square brass is 25cm

Answer:

36 cans for $3.32

Step-by-step explanation:

36 cans = $3.32

1 can =$ 0.092

9 cans = $0.91

1 can = $0.01

0.09 and 0.1 the cheaper is 0.09 dollars so 36 cans for $3.32 is better

the initial expression is:

So to write it in the form slope intercept we can rest 3x in bout sides of the equation so:

now we divide by 4 so:

No M is equal to -3/4 and B is equal to 2e

Answer:

y = -3/4x + 2

Step-by-step explanation:

Given:

Write this equation in "y=mx+b form"

Equation given:  3x+4y=8

Solve:

3x + 4y = 8

⇒ 3x -3x + 4y = 8 -3x                          ⊂ Subtract 3x from both side ⊃

⇒ 4y = -3x + 8                                          

⇒ 4y/4 = -3x/4 +8/4                             ⊂ Divide all by 4 ⊃

⇒ y = -3/4x + 2

Hence, this equation ( 3x + 4y = 8) in y = mx+b is y = -3/4x + 2

Lenvy~♡

Answer:

See below.

Step-by-step explanation:

\(f(x)=-7x^2-x\\g(x)=9x^2-4x\\(f-g)(x)=f(x)-g(x)\\(f-g)(x)=(-7x^2-x)-(9x^2-4x)\\(f-g)(x)=-7x^2-x-9x^2+4x\\(f-g)(x)=-16x^2+3x\\\\(f-g)(1)=-16(1)^2+3(1)\\(f-g)(1)=-16+3=-13\)

Answer:

f(n) = 3(n-3).

f(5)=3(5-3)

f(5)=6

Hope it helps :)

\(x + 4y = 9 \\

-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)

The expected number of pizzas to be stuffed crust is given as follows:

500.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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x = ~29 ft

h = ~34 ft

(explanation in image)

Answer:

Step-by-step explanation:

Point A  , P1 ( 11,-2) in the form (x1,y1)

Point D, P2(-8,9)   in the form (x2,y2)

find the distance  ( use distance formula )

d = sqrt [ (x2-x1)^2 +( y2-y1)^2 ]

d = sqrt [ (-8-11)^2 + ( 9-(-2))^2 ]

d = sqrt [ (-19)^2 + ( 9+2)^2 ]

d = sqrt [ 361 + ( 11)^2 ]

d = sqrt [ 361 + 121 ]

d = sqrt [ 482 ]

d = 21.8544

multiply that number by 15 for the miles

15*21.8544 = 329.317 miles

if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.

Least Common Multiple is the meaning of the abbreviation LCM.

The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

It can also be computed using two or more numbers.

Finding the LCM of a given collection of numbers can be done in a variety of ways.

Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.

The smallest number among all numbers is called the least common multiple of two or more numbers.

According to our question-

The number LCM is equal to 40.

4 × 5 × x = 40

20 × x = 40

20x=40

x=2

The larger number is equal to 4 x=4(2)=8.

The smaller value is =5x=5(2)=10.

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Complete question-

The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?

Answer:

-40

Step-by-step explanation:

-40+12=-28

-28/4

=-7

Answer:

no -9/4 is irrational

Step-by-step explanation:

vacsusvvsjshsvsh plz give brainliest

Answer:

i would use 1/2 because theres 2 sides on a coin and if you flip it 100 times then the probability of it landing on heads is about 50 out of 100

Step-by-step explanation:

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

its c

i think

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

35.4ft

Step-by-step explanation:

Answer:

\(t=\frac{2.8-3}{\frac{1.2}{\sqrt{64}}}=-1.33\)      

The degrees of freedom are given by:

\(df=n-1=64-1=63\)  

The p value for this case would be given by:

\(p_v =P(t_{63}<-1.33)=0.0942\)  

If we use a significance level lower than 9% we have enough evidence to FAIL to reject the null hypothesis that the true mean is greater or equal than 3 but if we use a significance level higher than 9% the conclusion is oppossite we reject the null hypothesis

Step-by-step explanation:

Information given  

\(\bar X=2.8\) represent the sample mean

\(s=1.2\) represent the standard deviation

\(n=64\) sample size      

\(\mu_o =3\) represent the value to verify

\(\alpha\) represent the significance level

t would represent the statistic (variable of interest)      

\(p_v\) represent the p value

Hypothesis to verify

We want to check if the true mean for this case is less than 3 minutes, the system of hypothesis would be:      

Null hypothesis:\(\mu \geq 3\)      

Alternative hypothesis:\(\mu < 3\)      

The statistic for this case is given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)      

Replacing we got:

\(t=\frac{2.8-3}{\frac{1.2}{\sqrt{64}}}=-1.33\)      

The degrees of freedom are given by:

\(df=n-1=64-1=63\)  

The p value for this case would be given by:

\(p_v =P(t_{63}<-1.33)=0.0942\)  

If we use a significance level lower than 9% we have enough evidence to FAIL to reject the null hypothesis that the true mean is greater or equal than 3 but if we use a significance level higher than 9% the conclusion is oppossite we reject the null hypothesis

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The given function is continuous at  x = 3,  RHL = LHL = F(2)

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  =  (x²-9)/(x² - x -6)(x² + 6x +9)

To check whether it is continuous at x = 2

First taking LHL,

\(\lim_{h \to \ 0}\)  ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)

⇒  -5/(-4x25)

⇒   1/20

Now, taking RHL

\(\lim_{h \to \ 0}\)  ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)

⇒  -5/(-4x25)

⇒   1/20

The value at x = 3

F(3)  =   ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)

       =  -5/(-4x25)

       =   1/20

Hence Proved,   RHL = LHL = F(2)

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