Use the table to answer the question evaluate for F (14)

Answer:

6/5

Step-by-step explanation:

Therefore, after answering the given query, we can state that With simple interest  a 5% rise per year, Beth's income in 14 years will be $69,394.38.

By dividing the base by the interest income, the time between payments, and many other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula for use in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating payment is as a portion of the principle amount. For example, if he takes $100 from a buddy and undertakes to pay back the loan at 5% interest, he only will pay his share of the 100% curiosity. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must collect interest when you give it. Typically, interest is determined as an indicator of the overall of the loan total. The loan's interest is the name given to this percentage.

The following is the compound interest formula:

A is equal to P(1 + r/n)(n*t), where A is the total sum.

P is equal to the starting principal.

the annual compound interest rate at the annual compound interest rate at the annual compound interest rate at the rate at the rate (as a decimal)

n represents how many times the interest is compounded annually.

t = the duration in years

The beginning wage (P) in this scenario is $37,000, the interest rate (r) is 5%, the number of times compounded (n) is 1 (since we're assuming the raise occurs once a year), and the number of years (t) is 14. This allows us to enter these values into the formula:

A =\($37,000(1 + 0.05/1)^(1*14)\)

A = $37,000(1.05)^14*A =  $69,394.38

With a 5% rise per year, Beth's income in 14 years will be $69,394.38.

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Amongst the options circle shape from the Clade Race would be considered plesiomorphic.

A primitive or ancestral character state is called plesiomorphy or known as a plesiomorphic character), and a shared plesiomorphy is called a symplesiomorphy. For example, let us take an example of hair. It is a unique mammalian character that evolved with the evolution of mammals.

The term apomorphy means a specialized or derived character state which is plesiomorphy. It refers to a primitive or ancestral trait. An same as autapomorphy, it is a derived trait that is unique to one group, while a same as synapomorphy is a derived trait shared by two or more groups.

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Answer:

16/21

Step-by-step explanation:

9+7 / 21

16/21

Answer:

16/21

Step-by-step explanation:

The demoninator is 21

There are 9 pens and 7 shoes.

9+7=16

16/21

You can not simplify 16/21, so that is your final answer.

Answer:

It depends.

Step-by-step explanation:

If it is two straight lines, then no, there is no way for the lines to intersect in more than one place. If the line is a parabola, then the lines would intersect in 2 places. It depends on what type of line you have.  

Hello!

12x = -48

x = -48/12

x = -4

x + 9 = -18

x = -18 - 9

x = -27

To verify:

cos⁴x+sin⁴x=1-2sin²xcos²x​

we have,

LHS= sin⁴x+cos⁴x

=(sin²x)²+(cos²x)² +2sin²x cos²x - 2sin² cos²x

(by adding and subtracting 2sin²x cos²x)

=(sin²x +cos²x )² - 2 sin²x cos²x

=1-2sin²x cos²x =RHS

Therefore LHS=RHS

The study of angles and the angular relationships of planar and three-dimensional figures is known as trigonometry. It is the branch of mathematics concerned with specific functions of angles and their application to calculations.

Trigonometry as the name suggests is all about triangles. More specifically, it is about right-angled triangles.

The trigonometry functions (also called the circular functions) comprising trigonometry are the cosecant, cosine(cos), secant, sine(sin), and tangent(tan).

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Answer:

the answer is 19!

To make it easier you can also use an online calculator or if you have one in real life you can use it! You can also do it on paper!

Have a great day! :) <3

a) The utility depends on both health (H) and consumption of other goods (X).

b) The coefficient is negative, indicating a negative relationship between two variables.

c) Health (H) is greater than zero, suggesting a positive value for health.

d) Health (H) is a function of a variable denoted as 'm'.

e) The variable 'm' is greater than zero and the coefficient is negative.

f) The product of two variables, 'm' and 'm', is negative.

a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.

b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.

c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.

d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.

e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.

f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.

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Answer:

This is an odd function because f (–x) = f (x)

Step-by-step explanation:

This is an odd function because f (–x) = f (x)

f(x) = -2x^5 + 6x^3 + 2x.

All the powers are odd powers  and the sum of odd functions is odd

All of the terms are odd functions so the total function is odd

Answer:

CORRECT

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

m =13

n = 12

m x n

= 13 x 12

= 166

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

Answer:

$2.20

Step-by-step explanation:

11/5=2.2

Answer:

0.45

Step-by-step explanation:

$5 for 11 lb

$5/(11 lb) = $0.45/lb

The rate of change of the x-component is given by dr/dt = 2t, where t represents the time in seconds.

The equation for the rate of change of the volume of the right circular cylinder with respect to time is given by dV/dt = π(2\(t^3\))(2\(t^2\) + 2t).

At a specific moment, the rate of change of the x-component can be determined by differentiating the equation for the radius with respect to time and evaluating it at that moment.

The volume V of a right circular cylinder is given by V = π\(r^2\)h, where r is the radius and h is the height.

In this case, the radius r is given by r = \(t^2\) and the height h is given by h = \(t^{(2/1)}\) = \(t^2\).

To find the rate of change of the volume with respect to time, we differentiate the volume equation with respect to time:

dV/dt = d(π\(r^2\)h)/dt

= π(2r)(dr/dt)h + π\(r^2\)(dh/dt)

= π(2\(t^2\))(2t)(\(t^2\)) + π(\(t^4\))(2t)

= π(4\(t^4\))(2\(t^2\) + 2t)

= 8π\(t^6\) + 8π\(t^5\).

Therefore, the equation for the rate of change of the volume with respect to time is dV/dt = 8π\(t^6\) + 8π\(t^5\).

To determine the rate at which the x-component is changing at a specific moment, we need to differentiate the equation for the radius r with respect to time and evaluate it at that moment.

The equation for the radius is r = \(t^2\).

Differentiating this equation with respect to time, we have:

dr/dt = 2t.

So, at the specific moment, the rate of change of the x-component is given by dr/dt = 2t, where t represents the time in seconds.

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Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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Refer to the image attached.

Parametric equation uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables. When necessary, more than one parameter can be used.

Now,

In order to plot the graphs of the given parametric equations, we will be sketching a table, in which, the values of the equations will be found at various values of the parameter.

=> Refer to the table in the image attached.

For the values so found of the parametric equations for the respective parameter, a graph will be plotted for both the equations:

Refer to the graph in the image attached.

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Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

We conclude that the percent error in Terry's reading is 8.3 percent.

If you did a reading on a value V, and your reading is another value V', the percent error in your reading is given by the formula:

P = 100%*|V - V'|/V

In this case, Terry's reading of the volume of the liquid is V' = 33.0, while the actual value is V = 36.0

Replacing that in the formula for the percent error we get:

P = 100%*|36.0 - 33.0|/36.0 = (3.0/36.0)*100% = 8.3%

We conclude that the percent error in Terry's reading is 8.3 percent.

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The approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.

The approximation probability that two people in a group of seven have the same birthday can be determined using a formula.

To calculate the probability that two people in a group of seven have the same birthday, we can use an approximation formula.

The formula is given as:P(n) = 1 - (365!/(365^n *(365-n)!)) * (1/n!)

Where P(n) is the probability that at least two people share the same birthday, n is the number of people in the group, and the exclamation mark (!) is the factorial function.

For a group of seven people, we substitute n=7 in the formula, and we get:

P(7) = 1 - (365!/(365^7 *(365-7)!)) * (1/7!)This simplifies to:P(7) ≈ 1 - 0.9999993 = 0.0000007

Therefore, the approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.

The probability is incredibly small, and it implies that it is unlikely for two people in a group of seven to have the same birthday.

This is because there are only 365 possible birthdays in a year, and the sample size of seven is too small to increase the likelihood of a match.

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The area of Kite PQRS at the right is concave. If we have PQ = QR = 20, PS= SR= 15, and QS = 7 is  220 square units

First, we can find the length of the diagonal PR using the Pythagorean theorem:

PR² = PQ² + QR² = 20² + 20² = 800

PR = sqrt(800) ≈ 28.28

Similarly, we can find the length of the diagonal QS:

QS² = QR² + RS² = 20² + 15² = 625

QS = sqrt(625) = 25

Now, we can split the kite into two triangles, PQS and QRS, and use the formula for the area of a triangle:

area of PQS = (1/2) * PQ * QS = (1/2) * 20 * 7 = 70

area of QRS = (1/2) * QR * RS = (1/2) * 20 * 15 = 150

So the total area of the kite is:

area of PQRS = area of PQS + area of QRS = 70 + 150 = 220

Therefore, the area of kite PQRS is 220 square units

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Answer: 116.16675

Step-by-step explanation:

hope this helps:)

Answer:

-5

Step-by-step explanation:

the opposite of plus 10 is negative so u add negative 10 to positve and do the same to 5

Step-by-step explanation:

y2-y1/x2-x1

6-(-3)/-5-(-4)

6+3/-5+4

9/-1

Answer:

The choice 13

Step-by-step explanation:

\(| {c}^{2} + {b}^{2} | \\ | {( - 2)}^{2} + {( - 3)}^{2} | \\ |4 + 9| = 13\)

I hope I helped you^_^

Answer:

1. 31.67 degrees

2. 38 degrees

3.

PNQ  = 117 degrees

LKQ =  102 degrees

4. XYV = 120 degrees

Step-by-step explanation:

1. Using sum of angles of a triangle = 180

angle ACB = 180 - 55.14 - 93.19 = 31.67

2.

FDE = 180-GDE = 180 - 135.11 = 44.89   [angles on a line are supplementary]

FED = HEJ = 97.11         [vertical angles]

DFE = 180-FDE-FED = 180 - 44.89 - 97.11 = 38 degrees

3.

MLN = 180 - 82 = 98   [angles on a line are supplementary]

PNQ = 360 - 67 - 78 - 98 = 117  [sum of exterior angles of a polygon = 360]

LKQ = 180 - 78 = 102  [angles on a line are supplementary]

4.

WXY+YXZ = 180 [angles on a line are supplementary]

=>

3x + x = 180

=>

x = 180/4 = 45

Now solve for XYV

XYV = 360 - 135 - 60 - 45 = 120  [sum of interior angles of quadrilateral = 360]

Note: In the future, please limit the number of problems per question to three.

Answer:

5n - 7

Step-by-step explanation:

The product of five and a number is 5n

Seven less than the product of five and a number means 5n - 7

Answer:

The narrator checks the old man at every night at midnight

Step-by-step explanation:

a)The probability that X is less than or equal to 2 and Y is equal to 1 is 1/5.

b) the probability that X is greater than 2 and Y is less than or equal to 1 is 2/15.

c)the probability that X is greater than Y is 2/5.

d)the probability that X plus Y is equal to 4 is 2/5.

(a) To find P(X ≤ 2, Y = 1), we need to sum up the joint probabilities for all values of X that are less than or equal to 2 and Y = 1:

P(X ≤ 2, Y = 1) = f(0,1) + f(1,1) + f(2,1)

= (0+1)/30 + (1+1)/30 + (2+1)/30

= 6/30

= 1/5

Therefore, the probability that X is less than or equal to 2 and Y is equal to 1 is 1/5.

(b) To find P(X > 2, Y ≤ 1), we need to sum up the joint probabilities for all values of X that are greater than 2 and Y is less than or equal to 1:

P(X > 2, Y ≤ 1) = f(3,0) + f(3,1)

= (3+0)/30 + (3+1)/30

= 4/30

= 2/15

Therefore, the probability that X is greater than 2 and Y is less than or equal to 1 is 2/15.

(c) To find P(X > Y), we need to sum up the joint probabilities for all values of X that are greater than Y:

P(X > Y) = f(1,0) + f(2,0) + f(2,1) + f(3,0) + f(3,1) + f(3,2)

= (1+0)/30 + (2+0)/30 + (2+1)/30 + (3+0)/30 + (3+1)/30 + (3+2)/30

= 12/30

= 2/5

Therefore, the probability that X is greater than Y is 2/5.

(d) To find P(X + Y = 4), we need to sum up the joint probabilities for all pairs of X and Y that add up to 4:

P(X + Y = 4) = f(1,3) + f(2,2) + f(3,1)

= (1+3)/30 + (2+2)/30 + (3+1)/30

= 12/30

= 2/5

Therefore, the probability that X plus Y is equal to 4 is 2/5.

(a) To find the marginal distribution of X, we need to sum up the joint probabilities for each possible value of X:

P(X = 0) = f(0,0) + f(0,1) + f(0,2) = (0+0)/30 + (0+1)/30 + (0+2)/30 = 3/30 = 1/10

P(X = 1) = f(1,0) + f(1,1) + f(1,2) = (1+0)/30 + (1+1)/30 + (1+2)/30 = 6/30 = 1/5

P(X = 2) = f(2,0) + f(2,1) + f(2,2) = (2+0)/30 + (2+1)/30 + (2+2)/30 = 9/30 = 3/10

P(X = 3) = f(3,0) + f(3,1) + f(3,2) = (3

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