Carpet costs $2 per square foot. Linoleum costs $1 per square foot. With $500, and 300 square feet to cover. How much carpet and linoleum can be bought?

After 5 years, the amount in your account would be approximately $13,462.55 rounded to the nearest cent.

To calculate the future value of a bank account with annual compounding interest, we can use the formula:

\(Future Value = Principal * (1 + rate)^time\)

Where:

- Principal is the initial deposit

- Rate is the annual interest rate

- Time is the number of years

In this case, the Principal is $8,000, the Rate is 11% (or 0.11), and the Time is 5 years. Let's calculate the Future Value:

\(Future Value = $8,000 * (1 + 0.11)^5Future Value = $8,000 * 1.11^5Future Value ≈ $13,462.55\)

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Answer:

1/4

Step-by-step explanation:

Each coin has a probability of 1/2 of landing on tails

What you do is multiply these probabilities together to get 1/4

Answer: 4 seeds will left over.

Step-by-step explanation:

Total sunflower seeds = 1354

Number of people shared sunflower  seeds equally = 6

By division operation,

Number of seeds each people will get = (Total sunflower  seeds) ÷ (Number of people shared seeds equally)

\(= (1354) \div (6)\)

\(=225\dfrac{4}{6}\)

Hence, each people will get 256 sunflower seeds and 4 seeds will left.

Answer: The slope of those two points would be -3

I hope this helps, and Happy Holidays! :)

Answer:

-3 ..?

Step-by-step explanation:

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

6. 5

7. 8

Step-by-step explanation:

Answer:

Dry your hands from the soap and try twisting the lid of the pan. This will cause it to start to turn. If you put it in the freezer it will be harder to take it off. My guess is by twisting the lid, you would be able to cause enough friction to take the lid off.

Step-by-step explanation:

If this doesn't work try tilting the lid and then lifting it

Answer:

Try soaking it in hot water. The pot only if possible. The top is smaller and if the  pan expands it should loosen up

Answer:

1680 inches

Step-by-step explanation:

All you have to do is to multiply the numbers together.

7 × 4 = 28 in

5 × 12 = 60 in

60 × 28 = 1680

Therefor, the answer is 1680.

Answer:The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

                                      =784  square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is =  

                                                   square feet.

According to the problem,

ft.

The height of the roof in his roof is 72.43 ft.

Step-by-step explanation:

Answer:

4500

so, have a good day, and um, i think i got this right, if not sry.

A food processor has an efficiency of 0.4. It generates 350 W of usable power. The total power input of the food processor is 349.6W.

Therefore,

Efficiency equals total power in less usable power out.

Efficiency =0.4 effective power =350 watts

total power input is,

0.4 = 350350 - 0.4

Simplifying the above equation,

= 349.6

Hence, A food processor has an efficiency of 0.4. It generates 350 W of usable power. The total power input of the food processor is 349.6W.

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The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the \( \epsilon / \delta \) definition of limits, we have;

\( \lim\limits_{x → √(715/π)} f(x) = 715 \)

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

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The measurement that could be a surface area measure is D. 27.9 mm². The unit "mm²" represents square millimeters, which is a measurement of surface area.

A surface area is the measurement of the outside area of an object or shape.

A surface area usually measures the surfaces of an object like the sides, top, and bottom.  

It is measured in square units like square inches or square meters.

It is an important concept that is used in different areas like geometry (like a cone, cylinder, rectangular prism, etc.), physics, and engineering.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

Firstly, let us have a random number between the two digits

We can call this random number x

So now, we have to position x between these two numbers

So to ensure that the two numbers are in the range of our values, we have to use an equality statement that will cover both

So by using lesser than or equal to we can incorporate the two extremes

The inequality here is thus ;

-4 ≤ x ≤ 6

Answer:

Ummmmm ehhhhhh

I need points for a hw

Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In this problem, we have a 98% confidence level, hence\(\alpha = 0.98\), z is the value of Z that has a p-value of \(\frac{1+0.98}{2} = 0.99\), so the critical value is z = 2.327.

There is no estimate of the percentage, hence \(\pi = 0.5\), and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.03\sqrt{n} = 2.327(0.5)\)

\(\sqrt{n} = \frac{2.327(0.5)}{0.03}\)

\((\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2\)

\(n = 1504.2\)

Rounding up, the buyers need a sample of 1505.

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Answer:

78 percent

Step-by-step explanation:

percent increase = (64-36)/36 ×100

= 28/36 ×100 = 0.78×100= 78

21 glasses of water can be filled with 3 1/2 bottles of water.

Number of glass containers for 1/6 bottles = 1

Number of glass containers for 1 bottle = 6

Glass bottles Number of 3 1/2 bottles = 6 × 3 1/2

Number of 3 1/2 glass bottles  = 6 × 7/2

                                                  = 21

This means that 21 glasses of water can be filled with 3 and 1/2 bottles of water.

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Answer: it will take 20 min to type 350 words

105 words in 6 min

Step-by-step explanation:

Answer:

It will take 20 minutes to type 350 words.

In 6 minutes, 105 words can be typed.

Step-by-step explanation:

To find the time taken to type 350 words, divide 4 by 70 and then multiply it by 350.

         \(\sf \text{Time taken to type 1 word = $\dfrac{4}{70} $}\\\\\text{Time taken to type 350 words = $\dfrac{4}{70}*350$}\)

                                                          = 20 minutes

To find the number of words to be typed in 6 minutes, first find how many he can type in 1 minute.

      Number of words typed in 4 minutes = 70 words

       \(\sf \text{Number of word typed in 1 minute = $\dfrac{70}{4}$}\\\\\text{Number of word typed in 6 minute = $\dfrac{70}{4}*6$}\)

                                                               = 105 words

Answer:

$16,106,127.36 after 30 days

Step-by-step explanation:

This situation could be modeled by the equation \(x(2)^{t-1}\) where x is the initial value and t is the time. x is the value on "the first day", so in this situation, we would substitute 0.03 for x, giving us \(0.03(2)^{t-1}\).
Then, we plug 30 into this equation, which would give us \(0.03(2)^{29}\).
\((2)^{29}\) is equal to 536,870,912-->multiplying this by 0.03 would give us $16,106,127.36

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

=====================================================

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

\(r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\\)

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

\(r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\\)

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

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

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Answer:

46 total

Step-by-step explanation:

32 on large bus

30% on small bus

32 =70%

100%=32/70 x(100)=46

A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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Answer:

8 : 5

Step-by-step explanation:

white socks 8

brown socks 5

Answer:

8:5

Step-by-step explanation:

cause

white= 8

brown=5

white:brown

8:5

Vertical Axis: The vertical extent ranges from the maximum to the minimum points of the two periods. In the case of f(x) = sin(x), the range would be -1 to 1.

To show two periods of the function, an appropriate viewing rectangle would be the one that ranges from one point of one period to the corresponding point of the second period, and the vertical extent ranges from the maximum to the minimum points of the two periods.

For example, we want to graph the function f(x) = sin(x) over the interval [0, 6π].

To show two periods of the function in this interval, we must first determine the period of the function.

In this case, the period of the sine function is 2π.

Therefore, we can graph two periods of the function by using a viewing rectangle that ranges from 0 to 4π on the horizontal axis (one point of the first period to the corresponding point of the second period) and ranges from -1 to 1 on the vertical axis (the minimum and maximum points of the two periods).

So, an appropriate viewing rectangle to show two periods of the function would be:

Horizontal Axis: Range from one point of one period to the corresponding point of the second period. In the case of f(x) = sin(x), the range would be 0 to 4π.

Vertical Axis: The vertical extent ranges from the maximum to the minimum points of the two periods. In the case of f(x) = sin(x), the range would be -1 to 1.

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