These are the first six terms of a sequence with a = 2:
2, 14, 98, 686, 4802, 33614, ...
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.

Answer: $45

Step-by-step explanation:

Let the original rice of the carousel                = $x

Therefore cost Price                                        = $36

Discount is 80% of the original price  $x        = $36

To calculate x , we find 80% of $x and equate to $36

                                                                          = ⁸⁰/₁₀₀ ˣ  $x

                                                                          = 80x/100

                                                           80x/100 = 36

Now, multiply through by 100 and divide by 80

                                                               80x   = 3600

                                                                     x  = $45.

The original price of the carousel                   = $45.

Answer:

Let's do it!

Step-by-step explanation:

-6 - 7(-5) + 6

-6 + (-7)(-5) + 6

-6 + 35 + 6

-6 + 41

35

[To think of it another way, 6 and -6 cancel out to become zero, so our answer is 35].

I hope this answered your question!

- sincerelynini

Answer:

238 is the answer

Step-by-step explanation:

68 percent of 350 is 238

                                         -DH

The number preferred to vacation in Florida is 238.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that, of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida.

The number of people will be calculated as,

N = 68% of 350

N = ( 68 x 350 ) /100

N = 238

Therefore, the number preferred to vacation in Florida is 238.

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Answer:

1/12

Step-by-step explanation:

1/2 ÷ 6

is the same as;

1/2 × 1/6 = 1/12

Answer:

x = 2

Step-by-step explanation:

Given

4x - 10 = - 5x + 8 ( add 5x to both sides )

9x - 10 = 8 ( add 10 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]3(2) +4 = ?[/tex]

3 times 2 is 6. Once you add that to 4 you get 10.

Hope this helps!

-Coconut;)

Answer:

5

Here is the working:

Answer:

5

Step-by-step explanation:

Answer:

9 two year olds, 18 three year olds, 18 four year olds

Step-by-step explanation:

Let's say x is the number of 2 year olds. There are double the number of three year olds (2x) . Four year olds is the same as 3 year olds (2x).

x + 2x +2x = 45

5x=45

x= 9

Double is 18 for 3 and four year olds.

The mathematical problem deals with finding the number of children in each age group at a preschool. By setting up an equation with the given ratios and total, we calculate that there are 9 two-year-olds, 18 three-year-olds, and 18 four-year-olds attending the preschool.

The question is a mathematical problem related to ratios and the counting of different age groups in a preschool setting.

To solve this, we first let the number of three-year-olds be represented by a variable, say 'x'. Since the number of two-year-olds is half the number of three-year-olds, we represent them as 'x/2'.

The number of four-year-olds is the same as the number of three-year-olds, which would also be 'x'. The total number of children in the preschool which is given as 45 can be expressed as the sum of two-year-olds, three-year-olds, and four-year-olds, which gives us the equation: x/2 + x + x = 45.

By solving the equation, we can determine the number of children in each age group. Multiplying both sides of the equation by 2 to eliminate the fraction, we get 2*(x/2) + 2*x + 2*x = 2*45, which simplifies to x + 2x + 2x = 90. Combining like terms we get 5x = 90, and by dividing both sides by 5, we find that x = 18.

Therefore, there are 18 three-year-olds, 18 four-year-olds, and half of 18, which is 9, two-year-olds attending the preschool.

Answer:12.57

Step-by-step explanation:

To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.

The area of the button is approximately 12.56 square centimeters.

To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius. In this case, the diameter of the button is 4 centimeters, so the radius is half of the diameter, which is 2 centimeters. Plugging this value into the formula, we get A = π(2 cm)². To calculate the area, we need to use an approximation of π, which is 3.14. Therefore, the area of the button is approximately 12.56 square centimeters.

Answer:

the answer is: if you multiply a by 2 and then add 6, the result will be less than b.

Step-by-step explanation:

Hope this helps!

Please mark as brainliest.

The same inequality is when you multiply a by 2 and then add 6, the result will be less than b so option (C) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

y – 6 > 2x

Put x = a and y = b

b - 6 > 2a

b > 2a + 6

The above inequality represents when you multiply a by 2 and then add 6, the result will be less than b.

Hence "The same inequality is when you multiply a by 2 and then add 6, the result will be less than b".

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The claims "marking up the wholesale price by 33% for retail" and "having a 25% profit margin" are not equivalent. While both involve pricing strategies, a 33% markup results in a profit margin of approximately 24.81%, demonstrating that markup and profit margin describe different aspects of pricing.

The question asks if the claims "We mark up the wholesale price by 33% to come up with the retail price" and "The store has a 25% profit margin" are equivalent, in conflict, or not comparable. To examine this, we need to understand the definition of markup and profit margin. Markup refers to the percentage increase over the cost price to arrive at the selling price, while profit margin is the percentage of revenue that remains as profit after covering all costs.

Considering a hypothetical item with a wholesale price of $100:

Therefore, these two claims are not equivalent. A 33% markup on the wholesale price results in a profit margin of approximately 24.81%, not 25%. This slight difference indicates that while related, markup and profit margin describe different aspects of pricing strategy. They are not direct conversions of one another but are interrelated in determining the final retail price and the resulting profit from sales.

The line is rising up to the left and it starts at -2,-2

If you were to continue the line to cross the y a is it would cross at (0,-3)

Find the slope

Slope = (-2 - -1) / (—2 - -4) = -1/2

It would be y= -1/2x-3 when x<-2

Answer:

*100% CORRECT ANSWERS (SEE ATTACHMENTS)

y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given. First, we need to find the slope m from the given points. Now put the point (2,3) in the point-slope equation along with the slope m to find the equation of the line between the two points.

Answer:

Slope is m = Y2-Y1

                    X2-X1

Step-by-step explanation:

Use this equation to find the slope of part 1

Then you do y-y1=m(x-x1)

Answer:

Step-by-step explanation:

What's the question?

The price in dollars per gallon is 7.14 dollar per gallon

The dimensional analysis for calculating mathematical question follows a standard conversion process.

The first thing to do is to determine the equivalent amount of the same liter in dollar while in France. Then, equate it the quantity of liters to gallons.

In France:

Then, the amount of the same liter in dollars will be:

[tex]= \mathbf{\dfrac{1.670 \ euro \times 1.13 \ dollars}{1 euro}}[/tex]

= 1.8871 dollars per Liter

Now, we know that:

Then, we can say

Then, the amount of the dollars in gallons will be:

[tex]\mathbf{x = \dfrac{1.8871 \times 1 }{0.2641722}}[/tex]

x = 7.14 dollars per gallon

Therefore, we can conclude that the price in dollars per gallon is 7.14 dollar per gallon.

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Answer:

negative 6.3 x + 1.7

The difference of  (-3.4x + 4.7) And  (3 + 2.9 x) is,  -6.3 x + 1.7. So Option D is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Two expressions,

(-3.4x + 4.7)

And  (3 + 2.9 x)

The difference = ?

The difference of the two expressions, (-3.4 x + 4.7) and (3 + 2.9 x), is calculated as follows:

= (-3.4 x + 4.7) - (3 + 2.9 x)

= -3.4 x + 4.7 - 3 - 2.9 x

= -3.4 x - 2.9 x + 4.7 - 3

= -6.3 x + 1.7

So, the difference of the two expressions is -6.3 x + 1.7.

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Final answer:

The probability of rolling factors of 3 on two six-sided dice is 13 out of 36 possible outcomes, which simplifies to approximately 0.361 or 36.1%.

Explanation:

Calculating the Probability of Rolling Factors of 3

To find the probability of rolling factors of 3 when tossing two dice, we must consider the combinations that result in multiplying to three or being a multiple of three. Each die has six faces, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. The factors of 3 are 1 and 3. So we have to count the outcomes where at least one of the dice shows a 3 or both dice show 1, which are the relevant factors of 3. If we roll a 3 on one die, the other die can show any number from 1 to 6, giving us 6 outcomes. If we roll a 3 on the other die, we again have 6 different outcomes. However, this would double-count the scenario where both dice show 3, so we must subtract this outcome once.

Therefore, the number of favorable outcomes is (6 + 6 - 1 = 11). The probability can be computed as the number of favorable outcomes divided by the total number of possible outcomes, giving us a probability of 11/36.

If we want the probability of getting one 1 and one 3 in two tosses, we must add to this the probability of tossing a 3 first and a 1 second. The event of rolling a 1 and then a 3, or 3 and then a 1, each has a probability of 1/36. As there are two ways this can happen (1 then 3, or 3 then 1), the probability for this event is 1/36 + 1/36 = 2/36 or 1/18, which must be added to our initial 11/36.

Hence, the final probability of rolling factors of 3 on two dice is (11/36) + (1/18) = (11/36) + (2/36) = 13/36.

Fred and Wilma's home increases in value by 4% every 3 years. Using the compound interest formula, it's calculated that after approximately 6 full periods in 20 years, the value of the home is approximately $189,740.10.

Fred and Wilma's home value increases by 4% every 3 years. To calculate the value of the home after 20 years, we need to first determine how many 3-year periods fit into 20 years, which is approximately 6.67 periods. However, since the home value increases only at the end of each 3 year period, we only consider the full periods, making it 6. We use the formula for compound interest: A = P(1 + r/n)^(nt), where:

Substituting the values into the formula, we get: A = $150,000 (1 + 0.04/1)^(1*6). After performing the calculations, the future value of the home after 20 years approximately equates to $189,740.10.

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Answer: 2 and 2/4

Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.

So here, we have 4 divided into 10.

4 divides into 10 one time, 2 times 4 is 8 and 10 - 8 is 2.

So 4 divides into 10 two times with a remainder of 2.

So we have 2 wholes and 2 out of 4 parts or 2 and 2/4.

So the improper fraction 10/4 can be written as the mixed number 2 and 2/4.

To convert the fraction 10/4 into a mixed number, we need to divide the numerator (10) by the denominator (4). When we divide 10 by 4, we get 2 with a remainder of 2.

The whole number part is derived from the division result, which is 2. The remainder becomes the numerator of the fractional part, while the denominator remains the same.

Therefore, 10/4 can be expressed as the mixed number 2 2/4. However, to simplify the mixed number, we can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 2 and 4 is 2. So, simplifying the fraction yields 2 1/2 as the final mixed number representation of 10/4.

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Answer:

If a square has all four sides

Each side equals 6x

Then to find the perimeter of a square you take one of the sides and multiply is by 4

6x*4

24x

Hope this helps ;)

Answer:$198

Step-by-step explanation:

.10 x 220= 22

220-22= 198

To find the sale price of the suit, calculate 10% of the original price, which is $22. Subtract this amount from the original price to get the sale price of $198.

To figure out the sale price of the suit, we need to begin by determining the amount of the discount. Because the discount is 10%, we will calculate 10% of $220. The way to calculate this is by multiplying 220 by 0.10 (which is the decimal equivalent of 10%). This comes out to $22. Next, we subtract this discount from the original price of the suit. So, $220 - $22 equals $198. The sale price is therefore $198.

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Answer: RS = 3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

To calculate the length RS , all we need do is to find the distance between R and S. The formula for finding the distance between two points is given as :

D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]x_{1}[/tex] = 3

[tex]x_{2}[/tex] = -3

[tex]y_{1}[/tex] = 2

[tex]y_{2}[/tex] = -1

Substituting the values we have :

RS = [tex]\sqrt{(-3-3)^{2}+(-1-2)^{2}}[/tex]

RS = [tex]\sqrt{9^{2}+3^{2} }[/tex]

RS = [tex]\sqrt{81+9}[/tex]

RS = [tex]\sqrt{90}[/tex]

this can also be written as

RS = [tex]\sqrt{9}[/tex] X

RS = 3[tex]\sqrt{10}[/tex]

Answer:

Eric earned last month US$ 9,786.25

Step-by-step explanation:

Commission of Eric on each house sold = 5% = 0.05

House 1 $55,000

55,000 * 0.05 = $ 2,750

House 2 $105,525

105,525 * 0.05 =  $ 5,276.25

House 3 $35,200

35,200 * 0.05 = $ 1,760

Eric earned last month =  $ 2,750 +  $ 5,276.25 + $ 1,760

Eric earned last month US$ 9,786.25

Answer:24 red roses

Step-by-step explanation:

You would multiply 12 by two

Answer:

8 red roses

Step-by-step explanation:

If you multiply 2 and 3 by 4 you will get 12 white roses and 8 red ones.

Answer:

B. 13.1

Step-by-step explanation:

To find the range of a set of data, first, order the numbers from least to greatest:

2.8, 4.3, 7.9, 9.6, 10.3, 11.5, 12.8, 12.9, 13.6, 15.3, 15.9

Next, find the least and greatest number:

2.8, 4.3, 7.9, 9.6, 10.3, 11.5, 12.8, 12.9, 13.6, 15.3, 15.9

Subtract the least number from the greatest number:

15.9 - 2.8 = 13.1

B. 13.1 is your answer.

~

Good evening ,

Answer:

Step-by-step explanation:

Perimeter of the the square = 4(3x+3) = 12x + 12

perimeter of the pentagon = 5(x+8) = 5x + 40

the perimeters are equal means 12x + 12 = 5x + 40

12x + 12 = 5x + 40 ⇔ 7x = 28 ⇔ x = 4

x=4 ⇒ 4(3x+3) = 4×15 = 60

      ⇒5(x+8) = 5(4+8) = 60

:)

Answer:

Step-by-step explanation:

y = 4x - 4 ......slope here is 4 and y int is -4

y = -4x + 4...slope here is -4 and y int is 4

now we compare our slopes and y int's....

learn these, it helps...

if the slopes are different, and y int's are different, then u have 1 solution.

if the slopes are the same and the y int's different, then u have no solutions

if the slopes are the same and the y int's the same, there are infinite solutions.

so ur answer is : 1 solution