6)
The value of Tony's investment was $1140 on January 1st. On this date
three years later, his investment was worth $1824. The average rate of
change for this investment was $19 per
(1) day
(2) month
(3) quarter
(4) year

Answer:

100 dimes

Step-by-step explanation:

it's 100 dimes

Answer:

the second one ( subtrracting 2)

Step-by-step explanation:

The approximation of f(1.06) using the first four terms of the binomial series is approximately 1.063816.

The binomial series expansion is a representation of a function as an infinite sum of terms involving powers of a binomial expression. For the function f(x) = 1 + x, the binomial series centered at 0 is given by:

f(x) = 1 + x + x^2 + x^3 + ...

To find the first four nonzero terms, we take powers of x up to x^3. Therefore, the first four nonzero terms of the binomial series for f(x) are 1, x, x^2, and x^3.

To approximate f(1.06) using the first four terms, we substitute x = 0.06 into the series:

f(1.06) ≈ 1 + (0.06) + (0.06)^2 + (0.06)^3

Evaluating the expression, we obtain the approximate value of f(1.06).

f(x) = 1 + x + x^2 + x^3 + ...

Substituting x = 0.06, we have:

f(1.06) ≈ 1 + (0.06) + (0.06)^2 + (0.06)^3

Calculating each term:

f(1.06) ≈ 1 + 0.06 + (0.06)^2 + (0.06)^3
≈ 1 + 0.06 + 0.0036 + 0.000216
≈ 1.063816

Therefore, using the first four terms of the binomial series, the approximation of f(1.06) is approximately 1.063816.

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Answer:

D. tan 0 = 8/15 and A. sec 0 = 17/15

Step-by-step explanation:

Cos 0 = adjacent/ hypotenus

Adj = 15 and Hyp =17

Using pythagoras theory

Opp^2 = 17^2 - 15^2

Opp^2 = 289 - 225

Opp^2 = 64

Therefore Opp = 8 which is the square root of 64

tan 0 = opp/adj

tan 0 = 8/15

Sec 0 is the multiplicative inverse of cos 0

The critical value that corresponds to a 90% confidence level is 1.645.

When we are given a confidence level, we can use a confidence interval to calculate the margin of error, and with that we can find the critical value. The critical value is the value that represents the number of standard deviations we need to go from the mean to capture a certain proportion of the distribution.

For example, for a 95% confidence level, we want to capture 95% of the distribution, so we need to go 1.96 standard deviations from the mean.To find the critical value that corresponds to a given confidence level, we need to use a table of critical values for the standard normal distribution. This table tells us how many standard deviations we need to go from the mean to capture a certain proportion of the distribution.

For example, the critical value for a 95% confidence level is 1.96, while the critical value for a 99% confidence level is 2.58. So, if we are given a confidence level of 90%, we need to find the critical value that corresponds to capturing 90% of the distribution.Using the table of critical values, we find that the critical value for a 90% confidence level is 1.645.

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer: 4248/.090=x

4720=x

ANSWER: There are 4720 students.

Answer: 4,720.

Step-by-step explanation: We're given 90% and 4,248  We know that 90% of the students enrolled use the bus for transportation.  We know the 10% of the students who don't ride buses can't be more than 500, because 10% is so small. 90% of 4,720 students are 4,248, which means in total, 4,720 students are enrolled in the big city school.

Have a great day! :)

The selection of the appropriate immune suppressant is made by healthcare professionals based on the specific needs of each patient.

The most commonly used immune suppressant in medical practice is a medication called "cyclosporine." Cyclosporine belongs to a class of drugs known as calcineurin inhibitors and is primarily used to prevent organ transplant rejection.

The activity of T-cells, which are a type of immune cell involved in the body's immune response.

Cyclosporine is also used in the treatment of various autoimmune diseases, such as rheumatoid arthritis and psoriasis, where the immune system mistakenly attacks the body's own tissues.

T-cell activity, cyclosporine helps to reduce the inflammatory response and prevent further damage to the affected organs or tissues.

It's important to note that there are several other immune suppressants available, and the choice of medication depends on the specific condition being treated, the patient's overall health, and individual factors.

A commonly used immune suppressants include corticosteroid methotrexate, azathioprine, mycophenolate mofetil, and tacrolimus.

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Complete question:

While studying the T- and B-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is what?

Answer:

Step-by-step explanation:

so we are told that he deposited 7/9 of  his money.  that mean the remaining is  2/9.   because 9/9 - 7/9 = 2/9   get it?

we are also told that 2.50 = 2/9 of his pay

so use that info to find the total pay

also using my calculator tells me that 2/9 = 0.22222222222222222222

knowing that,  we can divide 2.50 by 0.222222222222

2.50 / 0.2222222222  = 11.25

we now know that  2.50 is 0.222 of  11.25

if you want to check your answer just multiply 11.25 x .222222222  to see if you get 2.50

Do you understand?

Answer:

okay I don't have to work at rito pag nasagutan the gathered from the story is about

Answer:

(x + 9)(x + 2)

Step-by-step explanation:

x² + 11x + 18

consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (+ 11)

the factors are + 9 and + 2 , since

9 × 2 = 18 and 9 + 2 = 11 , then

x² + 11x + 18 = (x + 9)(x + 2)

The angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

The given values are:

AD = 150 mm

AB = 40 mm

CD = 80 mm

The crank AB rotates at 120 r.p.m. clockwise.

BC and AD are of equal length.

To find:

The angular velocity of link CD when angle BAD = 60°.

From the given data, we have to first find the value of angle BCD.

Angle BCD can be calculated as follows:

AB = 40 mm

BC = AD

= 150 mm

In ΔABC,

By using Cosine rule;

AC² = AB² + BC² - 2 × AB × BC × Cos ∠ABC∴ AC² = (40)² + (150)² - 2 × 40 × 150 × Cos 180°

∴ AC = 160.6 mm

In ΔBCD,

By using Cosine rule;

BD² = BC² + CD² - 2 × BC × CD × Cos ∠BCD

∴ BD² = (150)² + (80)² - 2 × 150 × 80 × Cos ∠BCD

In ΔABD,By using Cosine rule;

BD² = AB² + AD² - 2 × AB × AD × Cos ∠BAD

∴ BD² = (40)² + (150)² - 2 × 40 × 150 × Cos 60°

∴ BD = 184.06 mm

In ΔABD,By using Sine rule;

AB / Sin ∠BAD = BD / Sin ∠ABD

∴ Sin ∠ABD = BD × Sin ∠BAD / AB

∴ ∠ABD = Sin⁻¹ [BD × Sin ∠BAD / AB]

∴ ∠ABD = Sin⁻¹ [184.06 × Sin 60° / 40]

∴ ∠ABD = 87.2°∠ACD = ∠ABD - ∠ACB

∴ ∠ACD = 87.2° - 180°

∴ ∠ACD = - 92.8°∠BCD

= 180° - ∠ACD

∴ ∠BCD = 180° - (- 92.8°)

∴ ∠BCD = 272.8°

As we know that for four-bar mechanism, we have a formula for finding the angular velocity of link CD.

ωCD / Sin ∠BCD = ωAB / Sin ∠BADωCD / Sin 272.8°

= ωAB / Sin 60°

Substituting the values, ωCD / Sin 272.8° = ωAB / Sin 60°ωCD

= ωAB × Sin 272.8° / Sin 60°

But, ωAB = 2 × π × N / 60

= 2 × π × 120 / 60

= 4 × π rad/s

∴ ωCD = 4 × π × Sin 272.8° / Sin 60°ωCD

= 21.16 rad/s

Therefore, the angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

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Answer:

No, it will not change

Step-by-step explanation:

Because the size of the tank is not a factor that can be used to find the rate of change. The rate of change will continue to be 30 gallons per minute.

The average rate of change of gallons per minute is 30 gallons per minute.

No, the average rate of change of gallons per minute will not change even if the size of the tank is doubled because the size of the tank is not used to find the average rate of change.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph,

Two coordinates to find the average rate of change in gallons per minute.

(1, 30) and (3, 90).

These coordinates represent a change in the amount of water in the given unit of time.

x-coordinates is the time.

y-coordinate is the amount of water.

Now,

The average rate of change of gallons per minute:

(1, 30) = (a, b) and (3, 90) = (c, d)

= d - b / c - a

= 90 - 30 / 3 - 1

= 60 / 2

= 30

Thus

The average rate of change of gallons per minute is 30 gallons per minute.

No, the average rate of change of gallons per minute will not change even if the size of the tank is doubled because the size of the tank is not used to find the average rate of change.

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The equation that represent the line passes through point  (3,-4) and (6, -6) is  2x + 3y = −6.

The line's slope and a point on the line can be used to create an equation for the line. To better comprehend how an equation for a line is created, let us learn more about the line's slope and the necessary point on the line. The inclination of the line toward the positive x-axis is known as the slope, and it can be expressed as a number, a fraction, or the tangent of the angle it forms with the positive x-axis.

Given equations

2x + 3y = −6 .......(1)

y = -x-2

x + y = -2 .........(2)

and points (3,-4) and (6, -6)

substitute values in in eq. 1

x = 3 and y = -4

2x + 3y = −6

2(3) + 3(-4)

6 - 12 = -6

LHS = RHS

and x = 6 and y = -6

2(6) + 3(-6)

12 - 18 = -6

LHS = RHS

equation 1 passes through points (3,-4) and (6, -6)

check for eq. 2

x = 3 and y = -4

x + y = -2

3 - 4 ≠ -2

and x = 6 and y = -6

6 - 6 ≠ -2

equation 2 not passes through points (3,-4) and (6, -6)

Hence,  2x + 3y = −6  passes through points (3,-4) and (6, -6).

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

it's the last one

Step-by-step explanation:

when 2 lines are parallel it means they have the same slope but different y-intercept.

so, we're going to get the first and the third one canceled.

#the first one got canceled because we have the same slope and the same y-intercept ( the y-intercept should be different)

#the third got canceled because it doesn't have the same slope.

now we've got the second and the last one.(they have the same slope and a different y-intercept).

so here you can substitute (2,1) replace the variable x with 2 and of you get y=1 then this is the right answer.

y = 5/3 ×(2) - 2/3

= 10/3 - 2/3

=8/3

= 2.6

so here y isn't equal to 1 so the second one is wrong.

now the last one.

y = 5/3 × (2) - 7/3

=10/3 - 7/3

=1

so this is the correct answer.

Based on the given options, the correct answer for the confidence interval is:

c. [0.2597, 0.3403]

The confidence interval represents a range of values within which we can estimate the true population parameter with a certain level of confidence. In this case, the confidence interval suggests that the true population parameter falls between 0.2597 and 0.3403.

To calculate a confidence interval, we typically need information such as the sample mean, sample standard deviation, sample size, and a desired confidence level. Without this information, it is not possible to determine the exact confidence interval.

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Answer:

each van carries 7 students

each bus carries 60 students

Step-by-step explanation:

let v = # students in a van

let b = # students in a bus

system of equations:

13v + 2b = 211

4v + 4b = 268

I multiplied the 1st equation by -2 to eliminate the 'b' terms

 -26v - 4b = -422

+ 4v  + 4b = 268

-22v = -154

v = 7

substitute  '7' for 'v':

4(7) + 4b = 268

28 + 4b = 268

4b = 240

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Step-by-step explanation:

Let v = number of students in each van.

Let b = number of students in each bus.

High School A:

13v + 2b = 211

High School B:

4v + 4b = 268

The system of equations is

13v + 2b = 211

4v + 4b = 268

We will solve this system of equation with the addition method.

Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.

        13v + 2b = 211

(+)     -2v - 2b = -134

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

        11v         = 77

Divide both sides by 11.

v = 7

Substitute 7 for v in the first original equation and solve for b.

13v + 2b = 211

13(7) + 2b = 211

91 + 2b = 211

Subtract 91 from both sides.

2b = 120

Divide both sides by 2.

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Answer:

b

Step-by-step explanation:

hail can occur at temperatures not too cold and not too hot. since he checked his thermometer and it was warm, it is certainly possible that he saw hail

Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

Answer:

ok so first lets find the answer to the original question

28+7=35

so lets find which one is equal to 35

7(4+1)=28+7=35 yes

4(7+1)=28+4=32 no

4(7+3)=28+12=40 no

7(4+7)=28+49=77 no

a is the answer

Hope This Helps!!!

Answer:

Step-by-step explanation:

f(x) = x² + 1

f(a+1) means x = a+1

f(a+1) = (a+1)² + 1 = (a+1)(a+1) + 1 = a² + a + a + 1 + 1 = a² + 2a + 2

Answer: Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*x+2*x+1-(2*x-x+21)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

5x - 20 = 5 • (x - 4)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1 Solve : 5 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4

One solution was found :

x = 4

If the absolute value of the sequence |zn| converges, then the sequence En also converges.

Let us assume that the sequence |zn| converges, which means it is a convergent sequence. By definition, this implies that there exists a real number L such that for every positive epsilon, there exists a positive integer N such that for all n greater than or equal to N, |zn - L| < epsilon.

Now, consider the sequence En = zn - L. We want to show that the sequence En converges. Let epsilon be a positive number. Since |zn| converges, there exists a positive integer M such that for all n greater than or equal to M, | |zn| - L| < epsilon/2.

Using the triangle inequality, we have:

|En - 0| = |zn - L - 0| = |zn - L| = | |zn| - L| < epsilon/2.

Now, let N = M, and for all n greater than or equal to N, we have:

|En - 0| = |zn - L| < epsilon/2 < epsilon.

Thus, we have shown that for any positive epsilon, there exists a positive integer N such that for all n greater than or equal to N, |En - 0| < epsilon. This satisfies the definition of a convergent sequence. Therefore, if |zn| converges, En also converges.

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Answer:

So?

Step-by-step explanation:

And why did he/she sells

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer:

49

Step-by-step explanation:

The ratio of three numbers = 2:5:7

Then the numbers are 2x,5x and 7x

Given that the LCM of these numbers  = 490

LCM of 2x,5x,7x is 2×5×7×x = 70x

Then, we have 70x = 490

x  = 7

Hence, the numbers are 14, 35 and 49

Largest number = 49

∴The square root of the largest number = 7

The probability of rolling a die that lands on an even number (2, 4, or 6) is 1/2 or 50%.

A die has six faces numbered from 1 to 6. An even number is a number that can be divided by 2 without leaving a remainder, which in this case includes the numbers 2, 4, and 6.

There are a total of six possible outcomes when rolling a die, which are all equally likely. Therefore, the probability of rolling an even number is the number of even numbers divided by the total number of outcomes:

P(even number) = number of even numbers / total number of outcomes

P(even number) = 3 / 6

P(even number) = 1/2

So the probability of rolling an even number on a fair six-sided die is 1/2 or 50%. This means that out of every two rolls, one is expected to result in an even number.

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Complete question is:

Compound event: rolling a die that lands on an even number (2,4,or 6)? What is the probability of the event?