At the visitor center gift shop Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers both options leave him no change if Peter wanted to buy only postcards how many could he buy

The projected value of the house after 15 years is $347500.

A house is purchased for $145,000.

The value of the house increases each year by 6% of its value the previous year.

Let y(n) denote the value of the house after n years.

Initial value is $145,000.

⇒ y(0) = 145,000

The value of the house increases each year by 6% of its value the previous year.

Therefore the growth is exponential, and we have

y(n) = y(0)(1+0.06)ⁿ

When n = 1

⇒y(1) = 145000 × (1.06)

⇒y(1) = 153700

When n = 2,

⇒y(2) = 145000 × (1.06)²

⇒y(2) = 162922

Therefore, when n = 15,

⇒y(15) = 145000 × (1.06)¹⁵

⇒y(15) = 3,47,500

Therefore, the projected value of the house after 15 years is $347500.

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After simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

So, 6a + (-12b) - 9b + 8a:

Therefore, after simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

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The correct question is given below:
Simplify 6a+ (-12b) - 9b+8a

A. 2a + 3b

B. 14a-21b

C. 2a-21b

D. 14a + 3b

Answer:

y2-y1/x2-x1

-8--3/0-2

Step-by-step explanation:

-8+3/-2=-5/-2=5/2

The total number of holes will be (a)15 and (b) 4 when the drilling machine is used whose standard deviation is 0.0028mm.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The sum of all values divided by the total number of values constitutes a dataset's mean.

The mean of the holes are given as 4.05 mm([tex]\mu=4.08[/tex])

The standard deviation is given as 0.0028 mm([tex]\rho=0.0028[/tex])

Now we will use the z-score and probability distribution to calculate the frequency of the holes to have diameter between 4.048 and 4.0553.

Here [tex]Pr(4.048\leq X\leq 4.0053)[/tex] ,so we need to compute the z-values

[tex]Z_1=\frac{X_1-\mu}{\rho} \\Z_1=\frac{4.048-4.05}{0.0028} \\Z_1=-0.7143[/tex]

Similarly:

[tex]Z_2=1.8929[/tex]

Therefore from the above statements we can say that

[tex]Pr(-0.7143\leq X\leq 1.8929)[/tex]

Solving for probability distribution we get

[tex]Pr(4.048\leq X\leq 4.0053)=0.7333[/tex]

Total number of holes=0.7333 × 20= 14.666..

Therefore the number of holes is 15

Similarly

The z-value corresponding to 4.052 mm is given by 0.71

The z-value corresponding to 4.056 mm is given by:2.14

The probability of the diameter being between 4.052 mm and 4.056 mm is 0.4838 – 0.2611 =0.2227

The number likely to have a diameter between 4.052 mm and 4.056 mm = 0.2227 × 20

= 4.454

= 4, correct to nearest whole number

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Answer:

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Step-by-step explanation:

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]

Dividing both numerator and denominator by 2 gives us

[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]

Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Answer:

The solutions are

(-2.8, -2.4)   and

(1.8, 11.4)

- to the nearest tenth.

Step-by-step explanation:

x² + 4x + 1 = 3x+6

x² + 4x - 3x + 1 - 6 = 0

x² + x - 5 = 0

Using the quadratic formula:

x = [-1 +/- √((1)² - 4*1*(-5)] / 2

   = (-1 - 4.583) / 2 ,  (-1 + 4.583) / 2

   = -2.791, 1.792.

Substituting for x in the equation:

y = -2.374, 11.374.

The complement of the angle 14° 17' would be; 75° 43'

We want to find the complement of the angle 14° 17'

The complement of 14° is the angle that when added to 14° forms a right angle (90° ).

Now, when an apostrophe is found in the word angles, it means 'angular minutes, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."

Thus, 14° 17' means 14 degrees, 17 minutes.

Now, 17 minutes when converted to degree is;

17/60 degrees = 0.283. Thus; 14° 17' = 14.283

Now, the complement of 14° 17' would be;

90 - 14° 17' = 75° 43'

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Answer:

acute

Step-by-step explanation:

acute: degrees are all less than 90*

right angles: have a 90* angle

obtuse angle: has an angle greater than 90*

Answer:

Negative 2/9 I believe

Step-by-step explanation:

sorry if i am wrong

Answer:

-2/9

Step-by-step explanation:

-16/72

Simplify

We can divide the top and bottom by 8

16 divided by 8 = 2

72 divided by 8 = 9

-2/9

Answer:

Se hunde mas rapido en agua salada.

Step-by-step explanation:

Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

Answer:50.5

Step-by-step explanation:

because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.

Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -

y = ax + b

Given a simple equation and we have to solve the equation using transpose method.

We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -

4(x + 9) = 3(x + 7)

STEP - 1 - Identify the unknown variable.

In the expression given, the unknown variable is x.

STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.

In the expression given, we will simplify both sides -

4(x + 9) = 3(x + 7)

4x + 4 × 9 = 3x + 3 × 7

4x + 36 = 3x + 21

STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.

Apply Step 3 -

4x - 3x + 36 = 21

4x - 3x = 21 - 36

STEP - 4 - Solve for unknown variable.

We have -

4x - 3x = 21 - 36

x = - 15

Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.

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Answer:

2/11

Step-by-step explanation:

since the square root of 4 is 2 and that of 121 is 11

The value 8 x 10^5 is 200 times greater than 4 x 10^3

The standard scientific notation is expressed as A * 10^n

where

A is the values between 1 and 10

n is any integer

In order to determine how many times larger is 8 x 10^5 than 4 x 10^3, we will take the ratio;

Ratio = 8 x 10^5/4 * 10^3

Ratio = 8/4 * 10^5/10^3

Ratio = 2 * 10^2

Ratio = 200

Hence the value 8 x 10^5 is 200 times greater than 4 x 10^3

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Answer:

247

Step-by-step explanation:

divides 2964 entre 12 y obtienes 247

Answer: total household present are 136

Step-by-step explanation:

Given:

82.1% of Cincinnati households have a computer.

111.804 households in Cincinnati have a computer.

According to ratio and proportions we have:

let total number of houses be x;

then

(111.804/x)*100=percentage of Cincinnati households having  a computer.    [[tex]gain/total*100 =gain %[/tex]]

then

(111.804/x)*100=82.1

cross multiplying we have

x=(111.804*100)/82.1

x=136 households  (Round to the nearest whole number.)

so total household present are 136

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Answer:

(x+3)(x-3)

Step-by-step explanation:

When factoring x^2-9 you'd look for square multiples of -9.

Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)

Answer:

1. The perimeter of the basketball poster is 240.

The perimeter of the football poster is 282.

3. Football poster has the greater perimeter.

Step-by-step explanation:

To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.

To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.

2(55+86)=282.

282 > 240, which means that the football poster has a greater perimeter.

Hope that helps, have a good day!! :D

Answer:

9-9x

Step-by-step explanation:

Converted from word to standard form.

The value of the equation 9 less than nine times a number is A = 9n - 9 , where n is the number

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 9 less than nine times a number

Let the number be represented as n

On simplifying the equation , we get

A = 9n - 9

Therefore , the value of A is 9n - 9

Hence , the equation is A = 9n - 9 , where n is the number

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Answer: 30%

Step-by-step explanation: just add the 20% and 10% and you get 30%

I will need $1,61,884.2 to pay off the mortgage.

This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.

The monthly mortgage payment is $1,345.

Rate of interest is 3.6% per annum.

Time is given to be 10 years.

Simple interest for 10 years = 1345×3.6×10/100

                                            = $ 484.2

So, the total money required to clear the mortgage

= $(1345×12×10) + $ 484.2

= $161400 + $484.2

= $ 1,61,884.2

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The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

In this question, we have been given an event of a random experiment.

You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.

We need to find the total number of outcomes for event C.

Number of cards in a deck = 52

We know that, the number of club cards in the standard deck of cards = 13

Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

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Answer:6.986

Step-by-step explanation:

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

Answer: Standard deviation is 6.986.

Step-by-step explanation:

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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The equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

The compound inequality is given as

-22 > -5x - 7 ≥ -3

Add 7 to all sides of the compound inequality

So, we have

7 -22 > -5x - 7 + 7 ≥ -3 + 7

Evaluate the sum in the above compound inequality

So, we have

-15 > -5x  ≥ 4

Hence, the equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

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Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]

Therefore, the answer is A. as the solution is x = 5 or -7

The total amount is $ 6050, and the total interest after 8 months is $1050.

What is interest?

Here,

Period per year = 124 = 3

Total amount = amount  (1 + periodic rate)period

          = $6,050

Total interest = Total amount - amount

          = 6050 - 5000

          = $1,050

Thus,

The total amount is $ 6050, and the total interest after 8 months is $1050.

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