RATIO WORD PROBLEM:

IF I NEED 3 EGGS AND 4 CUPS OF MILK TO MAKE PANCAKES, I HAVE 12 EGGS. HOW MANY CUPS OF MILK WILL I NEED?

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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The derivative of f(g(x)) with respect to x is  f'(1/x).

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is  f'(1/x).

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Answer:

i believe the answer is 4

Step-by-step explanation:

Answer:

3.745318352059925

Or rounded to 3

3.75

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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Answer:

Here --->

Step-by-step explanation:

Integers are "whole numbers" which is negative numbers, positive numbers, and 0. rational numbers are fractions, decimals, negative numbers, positive numbers, and 0. Hope this helps! :]]

Answer:

13 units.

Step-by-step explanation:

20 characters

Answer:

13

Step-by-step explanation:

edge 2021

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer: C

Step-by-step explanation:

Since we are given velocity, which is the first derivative, we have to fidn the antiderivative of velocity to get position.

∫-2sint dt

s(t)=2cos(t)+C

Since we are given s(0)=0, we can plug in the values to find C, constant.

0=2cos(0)+C

0=2(1)+C

0=2+C

C=-2

Now that we know our constant, we can find out position.

s(t)=2cos(t)-2

Answer:

Sorry this is not an answer but it wouldn't let me comment go you friend me or something so we can work on calculus together

Step-by-step explanation:

Answer: newtons

Step-by-step explanation:

Answer:

I believe it is Newtons :)

Step-by-step explanation:

Answer:

a = 1.4 then b = (1+0.02) and r = 2%

The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

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Answer:

2+2 is 22 ahahahhahaha just kidding

Answer:

4.00000

Step-by-step explanation:

this is a very complex question but when the 2 is doubled by its numerical situation you can find that 2 and 2 can equal 4 which is a complex variation of the addition postulate product of the answer.

The solution to the third-order initial value problem using the method of Laplace transforms is y(t) = 2e⁻⁴ᵗ+ (1/11)(e⁻⁴ᵗ-e⁻⁵ᵗ)-(1/3)(e⁻⁴ᵗ).

Solving the third-order initial value problem using the method of Laplace transforms:

Given equation is y′′′+4y′′−17y′−60y=−180,y(0)=11,y′(0)=3,y′′(0)=171.

Take the Laplace transform of the given differential equation:

y′′′+4y′′−17y′−60y=−180L{y′′′+4y′′−17y′−60y}

L{-180}L{y′′′}+4L{y′′}-17L{y′}-60L{y} = -180 s³Y(s)-s²y(0)-sy'(0)-y''(0) +4s²Y(s)-4sy(0)-4y'(0)-17sY(s)+17y(0)-60,

Y(s)= -180.

Here y(0) =11, y'(0) =3, y''(0) =171.

By substituting the values we get: s³Y(s)-11s²-3s-171 +4s²Y(s)-44s-12-17sY(s)+17*11-60Y(s)= -180.

Group all the Y(s) terms together:

s³Y(s) +4s²Y(s) -17sY(s) -60Y(s) =-180+11s²+3s+187,

Y(s) = (-180+11s²+3s+187) / (s³+4s²-17s-60).

Find the Laplace transform of the given initial values:

y(0) =11L{y(0)} ,

11/sy'(0) =3L{y'(0)} ,

3/s²y''(0) =171L{y''(0)} ,

171L{y''(0)} = 171/s².

Substitute the obtained values and factorize the denominator to simplify:

Y(s) = (-180+11s²+3s+187) / [(s-3)(s+4)(s+5)],

(-s²+11+3/s-3) / [(s+4)(s+5)].

Taking the inverse Laplace transform of Y(s) using the Laplace transform table:

Y(s)= L⁻¹ {(s²+3s+11)/(s+4)(s+5)}

L⁻¹ {2/(s+4)} + L⁻¹ {(s+5) / [(s+4)(s+5)]}- L⁻¹ {(s+1)/(s+4)}= 2e⁻⁴ᵗ+ (1/11)(e⁻⁴ᵗ-e⁻⁵ᵗ)-(1/3)(e⁻⁴ᵗ).

Thus, the  answer is y(t) = 2e⁻⁴ᵗ+ (1/11)(e⁻⁴ᵗ-e⁻⁵ᵗ)-(1/3)(e⁻⁴ᵗ).

Therefore, the solution to the third-order initial value problem using the method of Laplace transforms is y(t) = 2e⁻⁴ᵗ+ (1/11)(e⁻⁴ᵗ-e⁻⁵ᵗ)-(1/3)(e⁻⁴ᵗ).

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Answer: = 420

Step-by-step explanation: Hope this help :D

The solution to the system of equations y = -6x - 3 and y = -x^2 can be found by finding the point(s) of intersection between the two graphs.

To solve the system, we can set the two equations equal to each other:

-6x - 3 = -x^2

Rearranging the equation, we get:

x^2 - 6x - 3 = 0

Using the quadratic formula, we can find the solutions for x:

x = (6 ± √(36 + 12))/2

x = (6 ± √48)/2

x = (6 ± 4√3)/2

x = 3 ± 2√3

Substituting these x-values back into either equation, we can find the corresponding y-values:

For x = 3 + 2√3, y = -6(3 + 2√3) - 3 = -18 - 12√3 - 3 = -21 - 12√3

For x = 3 - 2√3, y = -6(3 - 2√3) - 3 = -18 + 12√3 - 3 = -21 + 12√3

Therefore, the solutions to the system of equations are (3 + 2√3, -21 - 12√3) and (3 - 2√3, -21 + 12√3).

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Frazer is planning to paint one of his walls and needs to know if he has purchased enough paint to cover the wall. One pot of paint, which covers 100 square feet, will not be enough to cover Frazer's wall, which measures 14 feet by 8 feet. He will need to purchase at least two pots of paint to fully cover the wall.

To calculate the total square footage of the wall, we need to multiply the length by the width. Therefore, the wall's total square footage is 14 x 8 = 112 square feet.

Next, we need to determine if a pot of paint, which covers 100 square feet, will be enough to cover the wall. To do this, we can divide the wall's total square footage by the amount of square footage a pot of paint covers.

112 / 100 = 1.12

This means that Frazer will need more than one pot of paint to fully cover the wall.

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A) The annual growth rate between 1993 and 2004, is approximately 5.68%.  B) Converting the growth rate from part A to percentage form, is approximately 5.68%.  C) Assuming the house value continues to grow at the same annual growth rate, the estimated value in the year 2009 would be approximately $215,000

A) The annual growth rate between 1993 and 2004, assuming exponential growth, can be calculated using the formula: growth rate = (final value / initial value) ^ (1 / number of years) - 1. In this case, the initial value is $95,000, and the final value is $165,000. The number of years is 2004 - 1993 = 11. Plugging these values into the formula, we get: growth rate = (165,000 / 95,000) ^ (1 / 11) - 1 ≈ 0.0568.

B) Converting the growth rate from part A to percentage form, we multiply it by 100. Therefore, the correct answer in percentage form is approximately 5.68%.

Now let's move on to part C. Assuming the house value continues to grow at the same percentage, we can calculate the value in the year 2009. We know that the value in 2004 was $165,000. To find the value in 2009, we need to calculate the growth over a period of 5 years. Using the growth rate of 5.68% (or 0.0568 as a decimal), we can calculate the value in 2009 as follows: value in 2009 = value in 2004 (1 + growth rate) ^ number of years = 165,000 (1 + 0.0568) ^ 5 ≈ $215,291.

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Answer:

it would take him 19 track practices

Step-by-step explanation:

26miles - 7miles= 19miles

Answer:

x=40

y=− 17 /6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The missing factor has the form (x - a).  The given factor is (x - 7).  The product (a)(-7) must be -42, and therefore the missing factor is (x + 6)

Answer:

108, 375 m²

Step-by-step explanation:

Rectangular field area: 280 m·390 m=109200 m²

Barn area: 25 m·33 m=825 m²

Subtract

109200 m²-825 m²=108375 m²

The value of y in the triangle is 12

From the question, we have the following parameters that can be used in our computation:

The triangle

On the triangle, we have the following equivalent ratio

y : 18 = 10 : 15

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

Express ratio as fraction

This gives

y/18 = 10/15

So, we have

y = 18 * 10/15

Evaluate

y = 12

Hence, the value of y is 12

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