HELPPPPPP!!!!!!!!!!!!!

Doug's optimal amount of Y is 75 units found using the utility function.

The optimal amount of Y for Doug is 75 units as per his utility function, u(X, Y) = X + ln Y.

The price of good X is $1 and the price of good Y is $2 and Doug has an income of $150 to spend.

Doug's aim is to maximize his utility subject to his budget constraint.

Let X and Y be the number of units of goods X and Y that Doug purchases respectively.

Then we can write Doug's utility function as:u(X, Y) = X + ln Y

The total amount that Doug spends is:

PₓX + PᵧY = $150

where Pₓ and Pᵧ are the prices of X and Y respectively.

Substituting Pₓ = $1, Pᵧ = $2 and solving for X, we get:

X = $150 - 2Y

Since we want to maximize Doug's utility function, we differentiate it with respect to Y and set it equal to zero, i.e.,

du(X, Y)/dY = 0

Differentiating u(X, Y) = X + ln Y with respect to Y gives:

du(X, Y)/dY = 1/Y

Therefore, at the optimal level of Y, we have:

1/Y = 0

Solving for Y, we get:

Y = 1/0 which is undefined.However, we know that Doug's budget constraint has to hold, i.e.,

PₓX + PᵧY = $150.

Substituting Pₓ = $1 and Pᵧ = $2, we get:

X + 2Y = 150

Substituting X = $150 - 2Y in the above equation and solving for Y gives:

150 - 2Y + 2Y

= 150Y

= 150/2Y

= 75

Therefore, Doug's optimal amount of Y is 75 units.

Know more about the differentiate

https://brainly.com/question/954654

#SPJ11

The length of the line segment RS =120 having midpoint M

Given :

Line segment RS with midpoint M when RM= 2x and MS= x+5.

Midpoint M divides the line equally

So length of RM=MS

Substitute the expressions RM and MS  and solve for x

[tex]RM=MS\\2x=x+5\\Subtract \; x \; on \; both \; sides\\x=5[/tex]

Now find out RS using the x value

[tex]RS= RM+MS\\RS=2x+x+5\\RS=3x+5\\RS=3(5)+5\\RS=20[/tex]

The length of the line segment RS =120 having midpoint M

Learn more : brainly.com/question/8435070

Answer:

20 seconds

Step-by-step explanation:

Given the following :

Alarm 1 (goes off every 10 seconds)

Alarm 2 (goes off every 5 seconds)

Alarm 3 (goes off every 4 seconds)

If they all go off now, how long will it take all to go off at the same time again.

Obtain the multiples of the time in seconds in which each alarm goes off and select the lowest multiple common to all three;

Multiples of 10 : 10, 20, 30, 40, 50,...

Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40,...

Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36,....

Hence, the lowest multiple common to all three alarm times is 20.

Hence, all three alarms will go off at the same time again after 20 seconds

The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

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 outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

i. angle ACB to the nearest minute is 105º

ii. the required area of triangle ABC is 6 cm².

i. Given that,

AB = 4 cm,

AC = 8 cm and BC = 6 cm

Let's draw the triangle ABC as per the given measurements.  Now, In triangle ABC,  Applying cosine rule;

cos A = (b² + c² - a²)/2bc where A is the angle opposite to side a and b and c are the lengths of the sides opposite to angles B and C respectively

cos B = (a² + c² - b²)/2ac where B is the angle opposite to side b and a and c are the lengths of the sides opposite to angles A and C respectively

cos C = (a² + b² - c²)/2ab where C is the angle opposite to side c and a and b are the lengths of the sides opposite to angles A and B respectively.  Here,

AB = 4 cm,

AC = 8 cm and BC = 6 cm

Now, In triangle ABC,  Applying cosine rule;

cos A = (b² + c² - a²)/2bc

= (6² + 8² - 4²)/(2 × 6 × 8)

= 0.8125

A = cos⁻¹(0.8125)

= 35.2º

≈ 35º (to the nearest minute)

cos B = (a² + c² - b²)/2ac

= (4² + 8² - 6²)/(2 × 4 × 8)

= 0.7344B

= cos⁻¹(0.7344)

= 42.8º

≈ 43º (to the nearest minute)

cos C = (a² + b² - c²)/2ab

= (4² + 6² - 8²)/(2 × 4 × 6)

= - 0.25C

= cos⁻¹(- 0.25)

= 104.5º ≈ 105º (to the nearest minute)

ii. Now, to find the area of triangle ABC

Area of triangle = (1/2) × Base × Height

= (1/2) × 4 × 3

= 6 cm²

Thus, the required area of triangle ABC is 6 cm².

To learn more about area of triangle , refer:-

https://brainly.com/question/27683633

#SPJ11

To anyone who needed an explanation- I GOTCHU

Answer:

111 miles

Step-by-step explanation:

First, we need to find out how far the cheetah goes if the lion goes 1 mile.

74/50=1.48

So, if the lion goes 1 mile, the cheetah goes 1.48 miles. If the lion goes 75 miles, we must multiply it by how far the cheetah goes.

75*1.48=111 miles

I hopw this helped! Tell me if you have any questions about this :)

Sighe speed - distance relation, the cheetah will cover a distance of 111 miles in the same time.

Lion :

Speed = 50 mph

Time taken to cover 75 miles

Time taken = Distance / speed

Time taken = 75 / 50 = 1.5 hours

CHEETAH :

Speed = 74 mph

Time taken = 1.5 hours

Distance covered in 1.5 hours

Distance = speed × time

Distance covered = 1.5 × 74 mph = 111 miles

Therefore, the cheetah will cover a distance of 111 miles in the same time.

Learn more : https://brainly.com/question/18109354

The main answer to calculate the Price Earnings Ratio of a given company with Profit after tax equal to $ 27.894,

Ordinary shares issued = 10.000, and Market price per ordinary share equal to $ 8,75 is given below.

The formula for calculating the Price Earnings Ratio (P/E Ratio) is as follows:

P/E Ratio = Market Price per Ordinary Share ÷ Earnings per Share (EPS).\Calculation of Earnings per Share (EPS)EPS = Profit after Tax ÷ Number of Ordinary Shares Issued= $ 27.894 ÷ 10.000= $ 2.7894.

Calculation of P/E RatioP/E Ratio = Market Price per Ordinary Share ÷ Earnings per Share (EPS)= $ 8,75 ÷ $ 2.7894= 3.14Therefore, the P/E Ratio of the given company is 3.14.

Hence, the correct option is (d) 3.14.

The Price Earnings Ratio (P/E Ratio) is a valuation ratio that indicates the multiple of earnings investors are willing to pay per dollar of a company's earnings. The P/E Ratio can be calculated by dividing the Market Price per Ordinary Share by the Earnings per Share (EPS). In the given problem, the P/E Ratio of the company is calculated to be 3.14.

To know more about Price Earnings Ratio visit:

brainly.com/question/13797420

#SPJ11

b. misspecification of the model. the problem of ignoring the potential nonlinear relationship between Y and X in a multiple linear regression model is the misspecification of the model, leading to biased parameter estimates and inaccurate conclusions.

Ignoring the potential nonlinear relationship between the dependent variable Y and one or more independent variables X in a multiple linear regression model leads to the problem of misspecification of the model.

Multiple linear regression assumes a linear relationship between the dependent variable and the independent variables. However, in reality, the relationship between the variables can be nonlinear. When this nonlinear relationship is not accounted for in the model and instead assumed to be linear, it results in misspecification of the model. Misspecification refers to the situation where the chosen functional form of the model does not accurately represent the true relationship between the variables.

By ignoring the potential nonlinear relationship, the model fails to capture the true nature of the data and may produce biased parameter estimates and incorrect conclusions. The misspecified model may exhibit poor fit, residual patterns, and unreliable predictions.

To address this problem, it is important to carefully analyze the data and consider the possibility of nonlinear relationships. Various techniques can be used to incorporate nonlinearities in regression models, such as adding polynomial terms, using transformation functions, or employing nonlinear regression models.

Let's briefly discuss the other options:

a. Multicollinearity: Multicollinearity refers to a situation where there is a high correlation between two or more independent variables in a regression model. It can cause problems in interpreting the individual effects of the correlated variables but is not directly related to ignoring the nonlinear relationship.

c. Perfect collinearity: Perfect collinearity occurs when there is an exact linear relationship between the independent variables, making it impossible to estimate the model. It is a severe form of multicollinearity and is not specifically related to ignoring the nonlinear relationship.

d. Homoskedasticity: Homoskedasticity refers to the assumption that the variance of the error term is constant across all levels of the independent variables. It is a requirement for the ordinary least squares (OLS) estimator to be efficient. While ignoring the nonlinear relationship could potentially affect the assumption of homoskedasticity, it is not the direct problem caused by ignoring the nonlinear relationship.

In summary, the problem of ignoring the potential nonlinear relationship between Y and X in a multiple linear regression model is the misspecification of the model, leading to biased parameter estimates and inaccurate conclusions.

Learn more about nonlinear here

https://brainly.com/question/2030026

#SPJ11

Answer:

15 feet: 30 divided by 2 is 15

Step-by-step explanation:

To prove that EG = HJ, we are given the information that EF = FJ and FG = HF.

To prove the congruence EG = HJ, we can use the transitive property of congruence.
From the given information, we have EF = FJ and FG = HF. By adding these two equations together, we obtain EF + FG = FJ + HF.
Now, using the transitive property, we can substitute EG for EF + FG and HJ for FJ + HF in the equation above. This gives us EG = HJ, which proves the desired congruence.
In summary, by using the given information and applying the transitive property of congruence, we have shown that EG = HJ.

Learn more about prove here
https://brainly.com/question/28970112

 #SPJ11

Answer:

Step-by-step explanation:

Answer:

f = -16

Step-by-step explanation:

f/4-5= -9

Add 5 to each side

f/4-5+5= -9+5

f/4 = -4

Multiply each side by 4

f/4 *4 = -4 *4

f = -16

Answer:

f= -16

Step-by-step explanation:

[tex]f/4-5= -9\\\\\frac{f}{4}-5=-9\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\\\\frac{f}{4}-5+5=-9+5\\\\Simplify\\\\\frac{f}{4}=-4\\\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4f}{4}=4\left(-4\right)\\\\Simplify\\f=-16[/tex]

This question is incomplete

Complete Question

Carolina goes to a paintball field that charges an entrance fee of $18 and $0.08per ball. The field has a promotion that says, "Get $10 soff if you spend $75more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.

Let B represent the number of paintballs that Carolina buys.

1) Which inequality describes this scenario?

Choose 1 answer:

(Choice A)

A

18+0.08B≤75

(Choice B)

B

18+0.08B≥75

(Choice C)

C

18+0.08B≤10

(Choice D)

D

18+0.08B≥10

2) What is the smallest number of paintballs that Carolina can buy along with the entrance fee to get the promotion?

paintballs

Answer:

a

1) The correct equation is:

Option B) 18+0.08B≥75

2)Carolina needs to buy at least 712 paintballs

Step-by-step explanation:

We are told in the question that:

Carolina goes to a paintball field that charges an entrance fee of $18 and $0.08per ball. The field has a promotion that says, "Get $10 soff if you spend $75more!"

Hence, our inequality equation is:

Let us represent the number of balls as B

$18 +0.08 × B ≥$75

18 +0.08B ≥75

0.08 ≥ 75 - 18

0.08B ≥57

B ≥ 57/0.08

B≥ 712.5

Therefore, Carolina needs to buy at least 712 paintballs.

Answer:

1. b 2. 713

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

The top angle would be 90 degrees due to the square.

The angles of a triangle add up to 180 degrees.

Set up the equation:

90 + 45 + x + 54 = 180

189 + x = 180

Subtract 189 from both sides:

x = -9

Now, if you need to solve for the angle, just plug x in:

-9 + 54 = 45 degrees

(In your case it is just looking for x so it would be x = -9)

Answer:

Step-by-step explanation:

Let the number of month be x

Expression to show amounts

Amount

Time is 36 months

Amount is $9550

I will try solve these ok na neo

Answer:

$541

Step-by-step explanation:

1). $550 - $120 = $430 left in her bank account.

2). $430 + $200 = $630 in her bank account.

3). $630 - $89 = $541 left in her bank account.

(Withdraw means removing some of your money out of your bank account, and deposit means putting money back in your bank account)

So, therefore, after all of those transactions, Ms. Lawrence's bank account has $541.

Hope this helps! <3

The partial derivatives of the function f(t, a) = cos(2mTt - a) with respect to each variable are as follows:

∂f/∂t = -2mT sin(2mTt - a)

∂f/∂a = sin(2mTt - a)

To compute these partial derivatives, we use the chain rule of differentiation. The chain rule states that if we have a function g(h(x)), then the derivative of g with respect to x is given by g'(h(x)) multiplied by h'(x). In our case, the function g is the cosine function and the argument h is 2mTt - a.

To find the partial derivative with respect to t, we consider t as the independent variable and treat a as a constant. We differentiate the function with respect to t while keeping a constant, and we multiply the result by the derivative of the inner function, which is 2mT.

∂f/∂t = -sin(2mTt - a) * (2mT) = -2mT sin(2mTt - a)

Similarly, to find the partial derivative with respect to a, we differentiate the function with respect to a while keeping t constant. The derivative of the inner function, 2mTt - a, with respect to a is -1.

∂f/∂a = -sin(2mTt - a) * (-1) = sin(2mTt - a)

So, the partial derivative of f(t, a) with respect to t is -2mT sin(2mTt - a), and the partial derivative with respect to a is sin(2mTt - a).

To know more about the chain rule of differentiation, refer here:

https://brainly.com/question/30478987#

#SPJ11

Answer:

the answer is C search up this app called math papa it would help a little more

Step-by-step explanation:

7-12

7+-12

=-5

Answer:

c)-5

Step-by-step explanation:

7+(-12)

=7-12(+*- = -)

=-5(-has the greatest value so the ans comes in negative)

Answer: Complementary, Adjacent

Step-by-step explanation:

Complementary angles can either of two angles whose sum is 90°.

Adjacent angles when they have a common side and a common vertex (corner point) and don't overlap.

~Hope I helped!~

Answer: complementary, adjacent

Answer:

THE SLOPE OF THE GRAPH

Step-by-step explanation:

Answer:

the slope of the graph of y = mx+b

Step-by-step explanation

The equation of any straight line can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Answer:

Step-by-step explanation:

density = mass/volume

density = 3g/0.5cm^3 = 3x2g/cm^3=6g/cm^3

Answer:

6g/cm^3

Step-by-step explanation:

P = m/v

P = density

m = mass = 3g

v = volume = 0.5cm^3

3/0.5 = 6

Answer:

7.8×10^4

Step-by-step explanation:

move the decmial right til you have a number that is greater than one and less than 10.

count how many you put to the right and put ×10^etc

but it would be opposite if you were trying to reverse it

9514 1404 393

Answer:

  (1, 22), (2, 36), (3, 50), (4, 64)

Step-by-step explanation:

You can put each value of x in the equation and do the arithmetic, as in ...

  y = 14(1) +8 = 22   for x = 1   ⇒ (x, y) = (1, 22)

Or you can recognize that increasing x by 1 will add 14 to the y-value:

  for x = 2, y = 22 +14 = 36   ⇒ (x, y) = (2, 36)

Carrying on in this way, the sequence of y-values that corresponds to the sequence of x-values is ...

  for x = 1, 2, 3, 4

  y = 22, 36, 50, 64

Written as ordered pairs, these solutions are ...

  (x, y) = (1, 22), (2, 36), (3, 50), (4, 64)

Answer:

C. [tex]\frac{1}{45^{6}}[/tex]

Step-by-step explanation:

Concepts Used:

Simplifying the given expression:

We are given the expression:

[tex]\frac{45^{-3}}{45^{3}}[/tex]

According to the rule of negative exponents, 45⁻³ = 1/45³

[tex]\frac{1}{45^{3}}*\frac{1}{45^{3}}[/tex]

[tex]\frac{1}{45^{3}*45^{3}}[/tex]

According to the Power of a Product rule: aⁿ X aᵇ = aⁿ⁺ᵇ

Using the Power rule to further simplify our expression:

[tex]\frac{1}{45^{6}}[/tex]

Hence, Option C is correct

Answer:

m = 4/3

Step-by-step explanation:

Step 1: Write equation

[tex]\frac{3m}{4} =\frac{4}{2}[/tex]

Step 2: Solve for m

Answer:

2 2/3

Step-by-step explanation:

Since that you have to make the problem proportional, both sides of the inequality will have to be the same. 4/2 will have a total of 2, so what you need to do is multiply 3 by something in which divided by 4 will have a total of 2.

3 × 2 2/3 = 8. And 8/4 is 2, so that is proportional to 4/2.

polynomial function is as follows:

we get: f(x) = -3/4x² + 27/4

Given the information about the graph of a polynomial function is as follows:

y-intercept is (0,9)

The x-intercepts are (-3, 0), (3,0)

Degree is 2

End behavior: as x → -∞, f(x) → -∞, as x → ∞, f(x) → -∞The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are real numbers and a ≠ 0.

The degree of the function is given to be 2, which means that the leading coefficient is a quadratic polynomial, and it has at least one x-intercept.

The leading coefficient is assumed to be 1 or -1 since it is not given.

Let's determine the quadratic function using the given intercepts:

When x = 0, y = 9. Therefore, the constant term in the quadratic function is c = 9.

The x-intercepts are (-3, 0) and (3, 0).

Thus, (x + 3) and (x - 3) are factors of the quadratic function.

Therefore, the quadratic function is in the form off

(x) = a(x + 3)(x - 3) + 9

We can substitute one of the points to determine the value of the leading coefficient.

Substituting the point (3, 0), we have: 0 = a(3 + 3)(3 - 3) + 9

Simplifying the equation, we get: 0 = 12a + 9a = -3/4

The quadratic function is:

f(x) = -3/4(x + 3)(x - 3) + 9

Multiplying the terms and collecting like terms, we get:

f(x) = -3/4x² + 27/4

learn more about function here

https://brainly.com/question/6561461

#SPJ11

Note Receivable account is decreased by Br. 900.00c. Interest income account is increased by Br. 12.002. Entry for deposit in transit:a. Cash in Bank account is increased by Br. 1,852.213. Entry for outstanding checks:a. Increase Accounts Payable account by Br. 3,265.274. Entry for Bank service charges:a. Bank Charges account is increased by Br. 8.20

The bank reconciliation statement of XYZ Company for the month of April is shown below:Balance per Bank Statement at April 30, 2021Br. 10,443.11Add:Deposit in TransitBr. 1,852.21Note collected by bankBr. 912.00Total AdditionsBr. 2,764.21Deduct:Outstanding ChecksBr. 3,265.27Bank ErrorBr. 18.00Total DeductionsBr. 3,283.27Adjusted Bank BalanceBr. 9,924.05Balance per booksBr. 9,941.45Add:Error in recording the checkBr. 90.00Total AdditionsBr. 90.00Deduct:Outstanding ChecksBr. 3,265.27Total DeductionsBr. 3,265.27Adjusted Book BalanceBr. 6,766.18Journal Entries:1. Entry for the Bank collection of note:a. Cash in Bank account is increased by Br. 912.00b.. T the above entries should be recorded by XYZ Company.

for more search question income

https://brainly.com/question/28352034

#SPJ8