The age of Paul is 1/3 that of Kennedy. In four years time the age of Paul will be the same as Kennedy present age. How old is Paul now?​

Answers

Answer 1

Answer:

Paul is 2 and Kennedy is 6

Step-by-step explanation:

6 × 1/3 = 2

2 + 4 =6


Related Questions

True or False: A line perpendicular to x=7 has a slope of 0

Answers

Answer:

True, I believe

Step-by-step explanation:

Answer:

The answer is yes because its horizontal

I'm interval notation please

Answers

9514 1404 393

Answer:

  (-2, 4]

Step-by-step explanation:

  -21 ≤ -6x +3 < 15 . . . . given

  -24 ≤ -6x < 12 . . . . . . subtract 3

  4 ≥ x > -2 . . . . . . . . . . divide by -6

In interval notation, the solution is (-2, 4].

__

Interval notation uses a square bracket to indicate the "or equal to" case--where the end point is included in the interval. A graph uses a solid dot for the same purpose. When the interval does not include the end point, a round bracket (parenthesis) or an open dot are used.

5x + 2y + 19 = 0 3x + 4y + 17 = 0​

Answers

Answer:

x = -3; y = 2

Step-by-step explanation:

5x + 2y + 19 = 0

3x + 4y + 17 = 0​

-10x - 4y - 38 = 0

3x + 4y + 17 = 0

-7x - 21 = 0

x = -3

5(-3) + 2y = -19

2y = -4

y = -2

Answer: x = -3; y = 2

What is the volume of the pyramid shown below?

Answers

Answer:

B is the answer of this question

Step-by-step explanation:

144 cu. units

432 cu. units is the answer

1 poir
Question 1. Jessica has $1,625.00 to purchase a five-year Certificate of
Deposit (CD). In the chart, there are CD rates frombankrate.com. What
would the account ending balance be at Synchrony Bank if it is
compounded quarterly? *
Use the Compound Interest Formula to calculate the ending balance. A = P(1 + 5)nt
Nationwide
Bank
Nationwide
2.01%
No
Synchrony Bank
all synchrony
1.95%

Answers

9514 1404 393

Answer:

  $1790.99

Step-by-step explanation:

Given:

  $1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years

Find:

  the ending balance

Solution:

The compound interest formula applies.

  FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year

  FV = $1625(1 +0.0195/4)^(4·5) = $1625(1.004875^20) ≈ $1790.99

The account ending balance would be $1790.99.

(b) If 124n= 232 five, find n.

Answers

Answer:[tex]n=\frac{58}{31}[/tex]

Step-by-step explanation:

[tex]124n=232\\\frac{124n}{124}=\frac{232}{124}\\n=\frac{232}{124}=\frac{58}{31}[/tex]

The value of n is 18.75. To find the value of n, we need to solve the equation: 124n = 232 five

Let's first convert "232 five" into a numerical value:

"232 five" means 2325 (since five is in the units place).

Now, the equation becomes:

124n = 2325

To solve for n, divide both sides of the equation by 124:

n = 2325 / 124

Now, perform the division:

n = 18.75

So, the value of n is 18.75.

To know more about equation:

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You play a game where you roll a single die. You pay $1 to play, and the payouts are $0.50 if you roll an
even number, $2 if you roll a 1, and $1 if you roll a 3 or 5.
2. What are the odds for winning money if you play this game? Show your work and Explain.
dan
3. What is the expected value of this game? Show your work and Explain what the results mean.

Answers

All you do is first you ha

A duck has 1,100 feathers. It went for a swim in a pond and lost 2/100 of its feathers. How many feathers did it lose?

Answers

Answer:

It lost 22 feathers.

Step-by-step explanation:

To complete this problem, this expression will be used: 2x/100.

2(1100)/100 {Multiply 2 by 1100}

2200/100 {Simplify by cancelling out 100}

22/1 {Divide}

22 feathers were lost.

whats the value of 5 in the product of 6,541 x 100

Answers

Answer:

50,000

Step-by-step explanation:

The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.

I hope this helps!

Which of the following is a polynomial?
A. X4- 2
B. 1/x+ 2
c. x-2-1
D.(x - 4)/(x + 1)

Answers

Answer:

ok um last person was rude but your answer is A

Step-by-step explanation:

I need help answering this question thank guys

Answers

Answer:

b

Step-by-step explanation:

the square root of 8 is 2 and the square root of 18 is 4.5 and both simplified is 4/9.

Aslo did this last week.

Which system of inequalities is shown in the graph?

36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2

Answers

Answer:

(x-2)^2 +(y+3)^2 >36 and (x-4)^2 +(y)^2 < 16

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2 = r^2

We are outside the yellow circle  The yellow circle has a radius of 6 and a center at (2, -3)

(x-2)^2 +(y--3)^2 > 6^2

(x-2)^2 +(y+3)^2 > 36

We are also inside the blue circle which has a radius of 4 and a center of (4,0)

(x-4)^2 +(y-0)^2 < 4^2

(x-4)^2 +(y)^2 < 16

Answer:

D.) 36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2

Step-by-step explanation:

Edge 2022

Use the permutation formula to solve a problem when n = 8 and r = 2.



A. 56
B. 672
C. 6,720
D. 40,320

Answers

Answer:

Option A. 56

Step-by-step explanation:

From the question given above, the following data were obtained:

Total number (n) = 8

Item taken for permutation (r) = 2

Pemutation (P) =?

ₙPᵣ = n! / (n – r)!

₈P₂ = 8! / (8 – 2)!

₈P₂ = 8! / 6!

₈P₂ = 8 × 7 × 6! / 6!

₈P₂ = 8 × 7

₈P₂ = 56

Answer:

A. 56

Step-by-step explanation:

60kg of rice must be put into three equal bags. what weight of rice must be put into each bag?

Answers

Answer:

20kg of rice in each bag

Step-by-step explanation:

we have 60kg of rice and 3 bags. we know that we need to have an eqal amount of rice in each bag so we can divide the 60kgs of rice by 3.

60÷3=20

Checking our Answer:

we can check our work by doing the opposite of division which is multiplication. to check our work we'd have to multiply the dividend (in our case 3) and our quotient (in our case 20) to see if we get the larger dividend (in our case 60) as our answer.

3×20=60

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.

Answers

The Total mileage is "400" and the further solution can be defined as follows:

Let t become the time he spent commuting on the first day of his vacation.

It is then calculated as [tex]t + 2[/tex].

[tex]\to 40\times(t+2) = 60(t) + 20 \\\\\to 40t+80 = 60t + 20 \\\\\to 80-20 = 60t + 40t \\\\\to 60 = 20t \\\\\to t=\frac{60}{20} \\\\\to t=\frac{6}{2} \\\\\to t= 3\\\\[/tex]

It traveled [tex]40\times (3 + 2) + 20 = 40\times 5 + 20 = 200+20=220[/tex] miles on its first day of operation.

The car traveled [tex]180\ miles[/tex] on the second day, which was [tex]60 \ miles \times 3[/tex].

So,

Total mileage= first day traveled + second day traveled [tex]= 220+ 180= 400 \miles[/tex]

Learn more:

Total distance traveled: brainly.com/question/20670144

Suppose the discrete random variable X has the probability distribution below:

X 0 1 2 3 4
P(X) 0.11 0.52 0.19 0.12 0.06
1pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis

2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis

2pt c right parenthesis space F i n d space mu subscript X

2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X

Answers

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

What is the best point estimate for the population's standard deviation if the sample standard deviation is 37.3

Answers

Answer:

The best point estimate for the population's standard deviation is 37.3.

Step-by-step explanation:

Best point estimate:

The best point estimate for the population mean is the sample mean.

The best point estimate for the population standard deviation is the sample standard deviation.

In this question:

Sample standard deviation of 37.3, and thus, the best point estimate for the population's standard deviation is 37.3.

Situation 1 Riverbed Cosmetics acquired 10% of the 215,000 shares of common stock of Martinez Fashion at a total cost of $12 per share on March 18, 2020. On June 30, Martinez declared and paid $74,000 cash dividend to all stockholders. On December 31, Martinez reported net income of $127,600 for the year. At December 31, the market price of Martinez Fashion was $13 per share.
Situation 2 Marin, Inc. obtained significant influence over Seles Corporation by buying 30% of Seles's 31,300 outstanding shares of common stock at a total cost of $9 per share on January 1, 2020. On June 15, Seles declared and paid cash dividends of $36,600 to all stockholders. On December 31, Seles reported a net income of $80,100 for the year.
Prepare all necessary journal entries in 2020 for both situations. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter for the amounts.)

Answers

Answer:

Riverbed Cosmetics and Martinez Fashion

March 18, 2020:

Debit Investment in Martinez Fashion $2,580,000

Credit Cash $2,580,000

To record the acquisition of 10% of the 215,000 shares of common stock

June 30, 2020:

Debit Cash $7,400

Credit Dividend Income $7,400

To record dividend income received ($74,000 * 10%).

December 31, 2020:

Debit Investment in Martinez Fashion $215,000

Credit Unrealized Gain $215,000

To record the unrealized gain from the increase in share price.

Situation 2:

Marin, Inc. and Seles Corporation

January 1, 2020:

Debit Investment in Seles Corporation $84,510

Credit Cash $84,510

To record the 30% of Seles's 31,300 shares acquired at a total cost of $9 per share.

June 15, 2020:

Debit Cash $10,980

Credit Investment in Seles Corporation $10,980

To record the 30% of $36,600 dividends paid to all stockholders.

December 31, 2020:

Debit Investment in Seles Corporation $24,030

Credit Retained Earnings $24,030

To record the company's share of the net income.

Step-by-step explanation:

a) Data and Analysis:

Riverbed Cosmetics and Martinez Fashion

March 18, 2020: Investment in Martinez Fashion $2,580,000 Cash $2,580,000 10% of the 215,000 shares of common stock

June 30, 2020: Cash $7,400 Dividend Income $7,400 ($74,000 * 10%)

December 31, 2020: Investment in Martinez Fashion $215,000 Unrealized Gain $215,000

Situation 2:

Marin, Inc. and Seles Corporation

January 1, 2020: Investment in Seles Corporation $84,510 Cash $84,510

30% of Seles's 31,300 outstanding shares of common stock at a total cost of $9 per share

June 15, 2020: Cash $10,980 Investment in Seles Corporation $10,980

30% of $36,600 paid to all stockholders.

December 31, 2020: Investment in Seles Corporation $24,030 Retained Earnings $24,030

Write in standard form (×-3)(x+2)(x-5)

Answers

Answer: X - 3 x X + 2 x X - 5

Step-by-step explanation:

X - 3 x X + 2 x X - 5

Answer:

its (x - 3)( x^2-3x-10

Step-by-step explanation:

Convert 110101 in base 2 to base 10

Answers

Answer:

base-2 base-10

110011 = 51

110100 = 52

110101 = 53

110110 = 54

21 more rows

According to Runzheimer International, a typical business traveler spends an average of $281 per day in Chicago. This cost includes hotel, meals, car rental, and incidentals. A survey of 50 randomly selected business travelers who have been to Chicago on business recently is taken. For the population mean of $281 per day, what is the probability of getting a sample average of more than $268 per day if the population standard deviation is $47?

Answers

Answer:

The correct answer is - 97.74%.

Step-by-step explanation:

Given:

sample mean = 281

Std Dev = 47 ==> Sample

Std Dev (s) = std dev/sqrt(n) = 6.0677

Solution:

Find : P( x > 268 )

z = ( x - u )/s = ( 268 - 281 )/6.0677

= -1.9558

then, P( x > 270) = P( Z > -1.9558)

= P( Z <1.9558)

= 0.9747

change into percentage:

= 97.471%

need help please please

Answers

Answer:

3 1/2<5 1/2

Step-by-step explanation:

The first answer is correct

Step-by-step explanation:

Three and one half

[tex] = 3 \frac{1}{2} [/tex]

Less than symbol ( < )

Five and one half

[tex] = 5\frac{1}{2} [/tex]

So, equation will be,

[tex]3 \frac{1}{2} < 5 \frac{1}{2} [/tex]

Hence, your chosen option is correct

A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?

Answers

Answer:

17 days

Step-by-step explanation:

as you see, 4=2^2

and 8=2^3

so we have a number sequence:

2+2^2+2^3+...+2^n=260000 (1)

multiply (1) by 2 we have:

2^2+2^4 +...+2^(n+1)=520000 (2)

(2) minus (1) we have:

2^(n+1)-2=260000

2^n*2=260002

2^n=130001

and we have 2^17=131072 >130001

so it will take her at least 17 days to buy the car

It will take her about 17 days to buy the car worth 260000 cents

If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)

If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:

2, 4, 8...

This sequence is geometric in nature

In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:

[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]

Given the folowing

a = 2

r = 4/2 = 8/4 = 2

Sn = 260,000

Substitute into the formula the given parameters

[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]

This shows that it will take her about 17 days to buy the car worth 260000 cents

Learn more here: https://brainly.com/question/20548958

f(x)=8x−4x+4 , then f(x−1)=

Answers

Answer: [tex]4x[/tex]

Step-by-step explanation:

[tex]f(x)=8x-4x+4\\f(x-1)=8(x-1)-4(x-1)+4\\f(x-1)=8x-8-4x+4+4\\f(x-1)=4x-8+4+4\\f(x-1)=4x[/tex]

The perimeter of the figure below is 107.5 in. Find the length of the missing side

Answers

9514 1404 393

Answer:

  7.3 in

Step-by-step explanation:

The sum of the lengths of the sides shown is 100.2 in, so the missing length is ...

  107.5 -100.2 = 7.3 . . . inches

If it takes sally 45 minutes to walk 1 mile how long will it take sally to walk 1,954 miles?

Answers

Answer:

87,930 Minutes

Step-by-step explanation:

Let us use unit rates for this question. Let's first draw a table.

Minutes   Mile

45               1

This table represents the relation of Sally walking 1 mile in 45 minutes. Let's put the other data we know of in the table.

Minutes   Mile

45               1

                  1954

To find the number of minutes, we must know that if 1 mile takes 45 minutes, we must multiply the number of minutes, which is 45, by 1954 to get the result desired. Let us do that.

1954*45 = 87,930

Minutes   Miles

45               1

87,930      1954

Therefore it will take Sally 87,930 minutes to walk 1,954 Miles.

I Hope This Helps!

Please Mark Brainliest!

Bod and coa are _____ angles

Answers

Answer:

opposite angles

Step-by-step explanation:

They are formed in the intersection of lines AD and BD.

Answer:

opposite angles

Step-by-step explanation:

they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.

Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.

Calculate the lower boundary of a 99% confidence interval.

Give your answer as a decimal rounded to 3 places after the decimal.

Answers

Answer:

0.3902

Step-by-step explanation:

The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;

Sample size, n = 27

Number of students with faster reaction time = 14

Phat = x / n = 14 / 27 = 0.6296

The confidence interval is calculated thus :

C. I = Phat ± Zcritical * √[p(1 - p)/n]

Zcritical at 99% = 2.576

C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]

C.I = 0.6296 ± 0.2394042

The lower boundary of C.I = 0.6296 - 0.2394042

Lower boundary = 0.3902

The carpet in the school library needs to be replaced. The dimensions of the library floor or shell each square foot of cart bit cost $1.25. What is the total cost of the new carpet for the library

Answers

To find the cost, we must:

First, find the area of the carper. It can be found dividing the carper into a rectangle and a right triangle.Then, with the area, in square foot, we have the cost per square foot, which makes it possible to find the total cost.

Doing this, we get that the cost is: $3,815, and the correct option is B.

Carpet:

The carpet can be divided into:

A rectangle of dimensions 56 ft and 38 ft.A right triangle of legs 71 - 38 = 33 ft and 56 ft.

----------------------------------------------

Area of the rectangle:

The area of a rectangle of dimensions l and w is given by:

[tex]A_r = lw[/tex]

In this question, the dimensions are l = 56 ft, w = 38 ft, so the area, in square feet, is:

[tex]A_r = 56*38 = 2128[/tex]

-------------------------------------------

Area of a right triangle:

The area of a right triangle of legs a and b is given by:

[tex]A_t = \frac{ab}{2}[/tex]

In this question, the legs are a = 56, b = 38, so the area, in square feet, is:

[tex]A_t = \frac{56(33)}{2} = 924[/tex]

----------------------------

Total area:

The total area is the sum of the area of the rectangle with the area of the right triangle, thus:

[tex]A = A_r + A_t = 2128 + 924 = 3052[/tex]

-------------------------

Cost:

Each square foot costs $1.25.

There are 3,052 square feet. So, the cost is:

[tex]C = 1.25*3052 = 3815[/tex]

Thus, the cost is $3,815, and the correct option is B.

A similar question is found at https://brainly.com/question/13209573

Last week, you spoke with 800 customers in 40 hours."
Employee: "That is an average of __________ customers every 30 minutes."

Answers

Answer:

10 customers

Step-by-step explanation:

Hi!

Each hour has 60 minutes, so two half hour (30 minute) blocks. Thus, 1 hour = 2 half hours, so 40 hours = 80 half hours.

800 customers in 80 half hours, divide that:

800 customers / 80 half hours = 10 customers / half hour

So, your answer is 10 customers every half hour, or 10 customers every 30 minutes.

Average is [tex]10[/tex] customers per hour

Average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Total number of customers [tex]=800[/tex]

Total number of hours [tex]=40[/tex]

                                      [tex]=40\times 60[/tex]

                                      [tex]=2400[/tex] minutes

Average (in every [tex]30[/tex] minutes)  [tex]=[/tex] Total number of customers [tex]\div[/tex] Total number of hours

                                                   [tex]=\frac{800}{2400 \div 30}[/tex]

                                                   [tex]=10[/tex] customers per hour

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