Ashton just launched a new business page on social media. After one month, she has 35 followers . She decides to take a course that promises to triple her number of followers each month for 6 months. After 7 months, how many followers will Ashton have if this is true?

hi me ////// ///////////

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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Answer:$27

Step-by-step explanation:

$33.75/15 = $2.25 per book

12 books x $2.25/book =  $27

The number of different sequences of tosses could there have been, if the number of tosses was even 1/2

You should understand that the tosses involves a sequence which is an array of numbers in a particular order

The question reads thus How many different sequences of tosses could there have been, if the number of tosses was even.

Number of tosses = 12

The tosses are 1,2,3,4,5,6,7,8,9,10,11,12 = 12 Times

The even numbers are

2,4,6,8,10,12 = 6 times

The Probability of the toss is 6/12

Therefore the number of tosses equals 1/2

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1st term - 2

2nd term - 3

3rd term - 4

4th term - 5

5th term - 6

I think I got that right because it says Un+1 and n is the number in the sequence.

Answer:

x/3 - 8 =15

x/3 =15+8

69/3 =23

69 =23*3

69. =69

The inequality describes the price $375  she can afford for 25

individual box of supplies will be $375 ≥ 25x.

An inequality is comparison of  two values, showing if one is less than, greater than, or simply not equal to another value.

Let the price of each box is $x.

The inequality describes the price can she afford for each

individual box of supplies will be $375 ≥ 25x.

Therefore inequality is $375 ≥ 25x.

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Okay, here are the steps to find the total cost from the cheaper company:

Company A (cheaper):

Daily charge: £20

Cost per mile: 50p = £0.50

Matilda needs to drive 950 miles over 7 days.

So miles per day = 950/7 = 136 miles

Total daily charge = £20

Total miles cost = 136 miles * £0.50 per mile = £68

Total cost = £20 + £68 = £88

So it would cost Matilda £88 to hire a car from the cheaper company (Company A) for 950 miles over 7 days.

Answer:

105n-25n^2

Step-by-step explanation:

-5(-16+5n-5)

-5(-21+5n)

=105n-25n^2

Answer:

160 books

Step-by-step explanation:

the 45 dollars is a one time cost that we can take out right away

\(525 - 45 = 480\)

next, we know that each book costs 3 dollars meaning we can divide by 3 to get the number of books printed from that 480

\(480 \div 3 = 160\)

Answer:

160 books

Step-by-step explanation:

Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

Answer:

28/d is the answer from my side

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

did the test

Hope my answer helps uh ✌️

The value of the expression is -4

The cube root of a number can be defined as the factor multiplied by three times by itself  to get that number.

Cube root is represented using the formula, '∛'

From the information given,

c³ = -64

Take the cube root of both sides

∛c³ = ∛ - 64

c = - 4

Thus, the value of the expression is -4

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Answer:

25 minutes

Step-by-step explanation:

When there are to people washing one elephant they will take half the time.

So half of the longest time will be the answer to the question.  

Mary takes longer then Nigel so once Nigel is finished Mary will still wash her side for 5 minutes extra.

Answer:

-11/40

Step-by-step explanation:

-2/5+1/8=?

Turn the fractions into the same denominators:

-2/5 x 8/8= -16/40

1/8x 5/5= 5/40

-16/40+5/40=

now just add the numerators

-16+5= -11

-11/40

Answer:

y = 5/4x -11

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 5/4 x + b

Substitute the point into the line

-1 = 5/4(8) +b

-1 =10 +b

Subtract 10 from each side

-11 = b

y = 5/4x -11

Answer:

\(\huge \boxed{y=\frac{5}{4} x-11}\)

Step-by-step explanation:

The slope-intercept form of a line is written as,

\(y=mx+b \\ \\ \\ \sf m= slope \\ \\ b=y -intercept\)

The slope is given.

\(\displaystyle y=\frac{5}{4} x+b\)

The line passes through the point (8, -1).

\(x=8 \\ \\ y=-1\)

Plugging in the values.

\(\displaystyle -1=\frac{5}{4} (8)+b\)

Solving for b or y-intercept of the line.

\(\displaystyle -1=\frac{40}{4} +b\)

\(-1=10+b\)

\(-11=b\)

The y-intercept of the line is -11.

\(\displaystyle y=\frac{5}{4} x-11\)

i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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The critical value for the two-tailed test is ± 2.7632

Here it is given that the value of

α = 0.01

n = 29

Hence the critical probability will be (1 - α)/2

= (1-0.01)/2

= 0.99/2

=  0.495

Now since the sample is small, we will have to use t-statistic here.

The degree of freedom = n - 1

= 29 - 1

= 28

Hence looking up the t-value for α = 0.01 for a two-tailed test we get

critical value as ± 2.7632

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Complete Question

Determine the critical values for a two-tailed test of a population mean at the α = 0.01 level of significance based on a sample size of n = 29

.

The equation of the curve that intersects at right angles to every curve of the family y=(1/x)+k is y=lnx

y=-x+k is the equation of a curve that meets at right angles every curve in the family y=(1/x)+k (where k can take any real value). This is known as the 'orthogonal curve' of the y=(1/x)+k family. It is calculated by obtaining the reciprocal of the original equation and then removing k from the y-axis.

A straight line with a negative slope is given by the equation y=-x+k. Every point on the line has an x-value that is the inverse of its y-value. At the point where x=1/k and y=k, the equation will always meet the curve of the family y=(1/x)+k at a right angle. This point is the same for all values of k and is known as the 'origin' of the function.

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Continue the given solution and solve for B and C :

\((s+1)\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = (s+1)\left(-\dfrac1{s-1} + \dfrac B{s+1} + \dfrac C{s-2}\right)\)

\(\dfrac{s^2+1}{(s-1)(s-2)} = -\dfrac{s+1}{s-1} + B + \dfrac{C(s+1)}{s-2}\)

\(s=-1 \implies B = \dfrac13\)

Similar steps lead to C = 5/3, and so

\(\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = -\dfrac1{s-1} + \dfrac13\times\dfrac1{s+1} + \dfrac53\times\dfrac1{s-2}\)

Now take the inverse transform of each term.

\(Y(s) = -\dfrac1{s-1} \implies y(t) = -e^t L^{-1}\left\{\dfrac1s\right\} = -e^t\)

\(Y(s) = \dfrac13\times\dfrac1{s+1} \implies y(t) = \dfrac{e^{-t}}3 L^{-1}\left\{\dfrac1s\right\} = \dfrac{e^{-t}}3\)

\(Y(s) = \dfrac53\times\dfrac1{s-2} \implies y(t) = \dfrac53e^{2t} L^{-1}\left\{\dfrac1s\right\} = \dfrac{5e^{2t}}3\)

Then the inverse transform of F(s) is

\(F(s) = \dfrac{s^2+1}{(s-1)(s+1)(s-2)} \implies f(t) = -e^t + \dfrac{e^{-t}+5e^{2t}}3\)

\(\implies f(t) = \boxed{\dfrac{5e^{3t} - 3e^{2t} + 1}{3e^t}}\)

Steps to solve:

-32 + (2 - 6)(10)

~Simplify

-32 + (-4)(10)

~Multiply

-32 - 40

~Subtract

-72

Best of Luck!

Answer:

Step-by-step explanation:

The equation is: –32 + (2 – 6)(10).

Then u have to do PEMDAS

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

you follow the steps to get -49

The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.

An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.

The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.

Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.

Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.

Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.

Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.

Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.

Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.

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Step-by-step explanation:

\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)

\(46x +(56x)y \\ = (100x)y \\ = 100xy\)

Answer:

2x(23+28y)

Step-by-step explanation:

2x.23=46x 2x.28y=56x but 46x+56xy

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

8.39

Step-by-step explanation:

divide the total price by the amount of the item there is:

41.95/5=8.39 per pair of socks

Answer:

$8.39 per pair

Step-by-step explanation:

41.95/5=8.39