PLS HELP! URGENT!!!! A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3. 14 for pi

$473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.

To determine the amount of money that should be deposited each year to ensure that the university will have enough money at the end of the 6th year  to pay for the expansion project, we can use the concept of future value of an annuity.

The future value of an annuity is the accumulated total value of all the payments or deposits made, including the interest earned over the specified period. It represents the amount of money that will be available at a future date, considering the compounding effect of interest.

The formula to calculate the future value of an annuity is:

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV is the future value of the annuity,

P is the amount of each payment or deposit,

r is the interest rate per period,

n is the number of payment periods.

In this case, the university plans to deposit a sum of money at the end of each year for five years from now. This means there are five years of deposit.

The future value (FV) is given as $3 million, so FV = $3,000,000.

The annual interest rate (r) is 5.5%, so r = 0.055.

The number of years (n) is 6 years.

We need to solve the formula for P (the amount to be deposited each year).

$3,000,000 = P * [(1 + 0.055)^6 - 1] / 0.055

$3,000,000 = P * [1.348148 - 1] / 0.055

$3,000,000 = P * 0.348148 / 0.055

$3,000,000 = P * 6.33087

P = $3,000,000 / 6.33087

P ≈ $473,710.99

Therefore, $473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.

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The factorisation of xm - 2pq + xq - 2pm is (m + q)(x - 2p).

Factorization is the process of breaking down an expression or number into its constituent parts, such that the product of these parts equals the original expression or number.

With respect to our question above, we can begin by grouping the first two terms and the last two terms together:

xm - 2pq + xq - 2pm

= x(m + q) - 2p(q - m)

Now we can see that we have a common factor of (q - m):

= x(m + q) - 2p(q - m)

= x(m + q) - 2p(q - m)

= (m + q)(x - 2p)

So the factorization of xm - 2pq + xq - 2pm is (m + q)(x - 2p).

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To calculate the mean, variance, and standard deviation of a discrete probability distribution, you need to follow these steps:

1. List the values of the random variable (x) and their corresponding probabilities (p(x)) in a table.

In this case, the values of x are -32, -24, -13, and -7, and the corresponding probabilities are not provided. So, to proceed with the calculation, we need the probabilities associated with each value of x.

Once we have the probabilities, we can move on to calculating the mean, variance, and standard deviation.

Please provide the probabilities for each value of x in order to proceed with the calculation.

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Answer:

d. 13 inches

Step-by-step explanation:

Right of the bat, we can choose 13 because the two triangle sides must be greater than one. 5+8=13, so the triangle would not be complete.

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer: 6

Step-by-step explanation:

if 10 out of the 20 liked r&j the most. half of those 20 liked it the most, so, based on that, the out of the next group of students (12 here) half of them you should expect to answer with r&j being there favorite

An algebraic expression that represent how much Mr. Green paid in all is 3(m + 1) + d

The following represents the items bought

The expression that represents the items in a bag is:

\(Bag=m + 1\\\)

He bought 3 bags.

So, the total spent on pet fish is:

\(Total =3(m + 1)\)

A box costs d dollars.

This means that, the total amount Mr Green spent in the store is:

\(Total =3(m + 1) + d\)

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The level of measurement for the data collected on students' eye color in the survey is categorical or nominal.

Categorical or nominal level of measurement refers to data that can be categorized into distinct groups or categories without any inherent order or numerical value. In this case, the different eye colors (e.g., blue, brown, green, hazel) are distinct categories without any inherent order or numerical value associated with them.

When conducting surveys or collecting data on eye color, individuals are typically asked to select from a predetermined list of categories that represent different eye colors. The data obtained from such surveys can only be classified and counted within those specific categories, without any meaningful numerical comparisons or calculations between the categories.

Therefore, the data collected on eye color in the given survey would be considered as categorical or nominal level of measurement.

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Answer:

x = 19.8

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

thus, we have it that;

16/28.8 = 11/x

16 * x = 11 * 28.8

x = (11 * 28.8)/16

x = 19.8

Answer:

Second Line

Step-by-step explanation:

x/-1 > -6

x < 6

Answer:

x-intercepts = (8, 0) and (-4, 0)

y- intercept = (0, 8)

vertex = (2, 9)

Step-by-step explanation:

Sorry if its wrong but I think it's where the coordinates are according to the graph. The x-int would hit at the x-axis, y-int would hit the y-axis, and the vertex would be where it's highest point is

Answer:

hope u understand...........

Answer:

x=2/5y+2/5

Step-by-step explanation:

a) The slope of the graph from ( 0 , 1 ) and ( 2 , 4 ) = 3/2

b) The slope of the graph from ( -2 , 1/4 ) and ( -1 , 1/2 ) = 1/4

c) No , the slope is not a constant

d) No , the graph is not linear

Given data ,

Let the exponential equation be represented as A

Now , the slope of the graph from ( 0 , 1 ) and ( 2 , 4 ) is given by

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 4 - 1 ) / ( 2 - 0 )

m = 3/2

And , slope of the graph from ( -2 , 1/4 ) and ( -1 , 1/2 ) is given by

m = ( 1/2 - 1/4 ) / ( -1 - ( -2 ) )

m = ( 1/4 )

And , the slopes are not same for the line , so it is not constant and line is not a linear equation

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Answer:

my guess is 1?

Step-by-step explanation:

I just guess

Answer:

I. y = |x + 4|

Step-by-step explanation:

Answer:

\(a=\sqrt{55}\) or \(7.146\)

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

The given statement would be False.

What is Mean and Median ?

Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.

If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.

The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.

Therefore, The given statement would be False.

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Answer:

you would do $5y + $6y - $50 or $11y - $50

Step-by-step explanation:

If  Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being

$5y + $6y - $50 or $11y - $50

Answer:

x/8 = 21/3

x = 21/3 * 8

x = 56 m

The homothet coefficients and the value of x are

The homothet coefficient by definition and in this context, is the scale factor of dilation

Using the above as a guide, we have the following:

Figure (a)

If the image of point P is P′, then

Homothet coefficient = 18/9

Homothet coefficient = 2

Also, we have

x/9 = 35/18

x = 9 * 35/18

x = 17.5

Figure (b)

If the image of point P is P′, then

Homothet coefficient = 15/9

Homothet coefficient = 5/3

Also, we have

x/10 = 15/9

x = 10 * 15/9

x = 50/3

Figure (c)

Here, we have

Homothet coefficient = 15/6

Homothet coefficient = 5/2

Also, we have

x/2 = 15/6

x = 2 * 15/6

x = 5

Hence, the value of x is 5

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The dimensions of the rectangle with area 343 m2 and the smallest possible perimeter are 7m (smaller value) and 49m (larger value). True.

To find the dimensions of the rectangle with the smallest perimeter, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where l and w are the length and width of the rectangle. We also know that the area of the rectangle is 343 m2, so we can write:

lw = 343

To find the smallest possible perimeter, we need to minimize the expression P = 2l + 2w subject to the constraint lw = 343. We can use the method of Lagrange multipliers to solve this optimization problem:

L = 2l + 2w - λ(lw - 343)

Taking partial derivatives with respect to l, w, and λ and setting them equal to zero, we get:

2 - λw = 0
2 - λl = 0
lw - 343 = 0

Solving for l and w, we get:

l = 7
w = 49

Substituting these values back into the expression for the perimeter, we get:

P = 2l + 2w = 2(7) + 2(49) = 112

Therefore, the dimensions of the rectangle with area 343 m2 and the smallest possible perimeter are 7m (smaller value) and 49m (larger value), and this is true.

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Answer:

So the question is asking you what of the two equations would you chose to solve for the variable. (which means what eqation is easier to solve and why)

Step-by-step explanation:

1) the first one is easier because you could multiple 2 or 5 to get 10 which is a nice number compare to 21 (the other eqaution)

2) the first one bc the second opption you would have a -7y +2 =x and thats  a mouth full

3) the first one as well bc I work better with smaller numbers.  

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8. Therefore, the correct options are B. 10 and E. 8.

To determine the possible values for the length of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given sides of lengths 5 and 13, we can check which values satisfy the triangle inequality:

The sum of the lengths of the two sides must be greater than the length of the third side:

5 + 13 > Third side

18 > Third side

Now let's check each given value:

A. 2: Not possible, since 18 > 2 does not hold true.

B. 10: Possible, since 18 > 10 holds true.

C. 24: Not possible, since 18 > 24 does not hold true.

D. 5: Not possible, since the given length is already one of the sides.

E. 8: Possible, since 18 > 8 holds true.

F. 19: Possible, since 18 > 19 does not hold true.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8.

Therefore, the correct options are B. 10 and E. 8.

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Answer:

the total is 70 gallons

hope this helped :)

Step-by-step explanation:

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

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Answer:

2. 13.1 is the original length

13.65 / 12.3 = 17.4

17.4 - 4.3 = 13.1

Step-by-step explanation:

Using the appropriate arithmetic operators, the solutions to the problems posed are given below :

1.)

Weight gained = Present weight - Initial weight

Weight gained = (6.5 - 2.75) = 3.75 pounds.

2.)

205.85 = 11.6 × (l + 3.7)

l = (205.85/11.6) - 3.7

3.)

Temperature at 1 p.m

Temperature at 10a.m = (22.333 - 8.7)°F = 13.63°F

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Answer:

0 and -2

Step-by-step explanation:

0+-2=-2