can somebody answer please.

The amount of money when they both are equal in value will be $513.18.

Ivan puts $100 in an account, earning 4% interest, compounded continuously. Stella puts $150 in the account earning 3% annually.

The equation for Ivan is given as,

\(\rm y = $100 \times (e)^{0.04t}\)

The equation for Stella is given as,

\(\rm y = $150\times (e)^{0.03t}\)

From equations (1) and (2), then we have

\(\rm $100\times (e)^{0.04t} = $150\times (e)^{0.03t}\\\\(e)^{0.04t-0.03t} = 150/100\\\)

Simplify the equation further, then

(0.04t - 0.03t) ln e = ln (150 / 100)

0.01t = 0.405

t ≈ 41 years

The amount is calculated as,

\(\rm y = \$150\times (e)^{0.03\times 41}\\\\y = \$150 \times 3.42\\\\y= \$ 513.18\)

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The given function is w=z⁻⁶−1/z and we are supposed to find its second derivative.

To find the second derivative of w, we must first find the first derivative. The first derivative is calculated using the following formula: dw/dz = -6z⁻⁷ + z⁻²Now we need to find the second derivative of w, which is the derivative of the first derivative. So, we differentiate the above equation using the formula, d²w/dz²=-42z⁻⁸-2z⁻³(dz/dx)².Using the chain rule, we can find the value of (dz/dx)² as follows: dz/dx = -6z⁻² - z⁻³So, we get, dz/dx = (-6z⁻² - z⁻³)²=-36z⁻⁴ - 12z⁻⁵ + 36z⁻⁵ + 9z⁻⁶Now we can substitute this value back into our second derivative equation:d²w/dz² = -42z⁻⁸ - 2z⁻³(-36z⁻⁴ - 12z⁻⁵ + 36z⁻⁵ + 9z⁻⁶)This simplifies to:d²w/dz² = -42z⁻⁸ + 72z⁻⁶ - 2z⁻³(36z⁻⁴ + 3z⁻⁶)Now, we can simplify this further by expanding the brackets and collecting like terms:d²w/dz² = -42z⁻⁸ + 72z⁻⁶ - 72z⁻⁷ - 6z⁻⁹Finally, the second derivative of w is given as:d²w/dz² = -42z⁻⁸ + 72z⁻⁶ - 72z⁻⁷ - 6z⁻⁹.

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Answer:

y=2x

Step-by-step explanation:

No, should a researcher ever use chi-square to examine the relationship between two variables that are interval level and normally distributed

No, a researcher not uses a chi-square test to examine the relationship between two variables that are interval level and normally distributed. The chi-square test is used to analyze the association between two categorical variables, not interval-level variables.

For interval-level variables that are normally distributed, a more appropriate statistical test to examine the relationship or association would be a correlation analysis, such as Pearson's correlation coefficient. Pearson's correlation measures the strength and direction of the linear relationship between two continuous variables.

The chi-square test is specifically designed for categorical variables and assesses whether there is a significant association or dependency between them. It compares the observed frequencies in different categories to the frequencies that would be expected if the variables were independent.

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To find the interval(s) where f(x) is concave up, we need to find where the second derivative of f(x) is positive. Taking the second derivative of f(x) and setting it greater than 0.

Therefore, the interval where f(x) is concave up is (-∞, 0) U (1/2, ∞).

f''(x) = 24x^2 - 36x
Setting f''(x) > 0 and solving for x, we find that x < 0 or x > 1/2. To find the interval(s) where f(x) is concave down, we need to find where the second derivative of f(x) is negative. Taking the second derivative of f(x) and setting it less than 0,

Setting f''(x) < 0 and solving for x, we find that 0 < x < 1/2.

Therefore, the interval where f(x) is concave down is (0, 1/2).
To find the x-value(s) of the inflection points of f(x), we need to find where the second derivative changes sign.

Since the second derivative f''(x) = 24x^2 - 36x is a quadratic function,

it changes sign at x = 0

and x = 1/2.

Therefore, the inflection points are x = 0

and x = 1/2.

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Answer:

20 periods, $15

Step-by-step explanation:

We can set up 2 equations for each card.

The first is 95-4x

x represents each 30 day period.

The second equation is 85-3.5x

95-4x=85-3.5x

95=85+.5x

10=.5x

x=20

It will take 20 periods til they equal each other.

We plug in 20 for x to find the value.

95-4(20)=15

They will be at $15

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

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The best way to select five students from a list of 626 students available such that it exhibits a random process is to List each name on a separate piece of paper; place them all in a hat, and pick five.

The selection process which should be undertaken by the student government, should be one which is inclusive and representative. Hence, the five students to be selected which makes up the sample of the total student should be chosen at random and transparently.

Hence, listing the names of each student on a Seperate piece of paper, placing it in a hat and making 5 selections showcase randomness and transparency, hence, it should be the adopted selection process.

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The margin of error in this case is the half-width of the confidence interval, which is 1.96.

To calculate the 95% confidence interval estimate for the average waiting time of all the patients who visit this doctor,

Use the following formula:

Confidence interval = X ± Zα/2 (σ/√n)

where X is the sample mean,

σ is the sample standard deviation,

n is the sample size,

Zα/2 is the critical value of the standard normal distribution for the desired confidence level (in this case, 95%, so Zα/2 = 1.96).

Substituting the values given in the problem statement, we get:

Confidence interval = 35 ± 1.96 (10/√25)

                                 = 35 ± 3.92

Therefore,

The average waiting time for all patients who visit this doctor is estimated to be between 31.08 and 38.92 minutes using a 95% confidence range.

Hence,

The half-width of the confidence interval, which is 1.96.

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Answer:

m = undef

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-8-7}{0-0}\)

\(m=\frac{-15}{0}\)

m = undef

Answer:

x=0

Step-by-step explanation:

The slope is 0 so the line is technically undefined.

m = -8-7/0-0

m = -15/0

m = 0

x=0

The velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

The velocity of the cylinder when it reaches the bottom of the incline can be calculated using the principle of conservation of energy. The velocity of the cylinder is given by the formula v = sqrt(2gh/(1+I/(mr^2))), where g is the acceleration due to gravity, h is the height of the incline, and I is the moment of inertia of the cylinder.

In this case, the cylinder is released from rest at a height h on an incline without slipping, which means that all the potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can write:

1/2 mv^2 = mgh

where v is the velocity of the cylinder at the bottom of the incline.

The moment of inertia of the cylinder is given as 1/2mr^2. Substituting this into the formula for v and simplifying, we get:

v = sqrt(2gh/(1+1/2)) = sqrt(4gh/3)

Therefore, the velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

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The Value of the double integral is 9/2.

To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.

For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:

a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}

or as a type II region with:

b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}

To evaluate the double integral using either of these regions, we can use iterated integrals.

Using a type I region:

∫∫D x dA = ∫0³ ∫y³ x dy dx

= ∫0³ ∫0x x dy dx

= ∫0³ ½x² dx

= 9/2

Using a type II region:

∫∫D x dA = ∫0³ ∫0y y dx dy

= ∫0³ ½y² dy

= 9/2

.

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Step-by-step explanation:

I didn't write language hope u get it

SOLUTION:

Case: Probability (Deck of cards)

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images. Each suit also includes ten numeral cards or pip cards, from one to ten. The card with one pip is known as an Ace. Each pip card displays the number of pips (symbols of the suit) corresponding to its number, as well as the appropriate numeral (but "A" for the Ace) in at least two corners.

Given:

A deck of cards

Required: To find the probability of obtaining a card that is has the number 3 and is black

Method:

Step 1: First, the total number of cards in a deck is 52

Step 2: The total obtainable black number 3 cards are:

3 clubs and 3 spades. This is a total of 2 outcomes

Step 3: The probability of getting a the number 3 and is black is:

Final answer:

The probability is 1/26

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:take numbers first, the Lcm is 24

Consider x, the highest power is 2

y, the highest power is 3

and z has 2 as its highest power.

:. The lcm is 24 x^2y^3z^2

Step-by-step explanation:

Answer:

this is me with another account, adding another anser just to mark you brainliest lol

Step-by-step explanation:

The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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Answer:

a) 360 -(66+120+90)=84

b)90 from 360

f x from 66

x=(90 x 66)÷360=16.5

Answer:

the answer should be c my one wasc

We can conclude that angle 22 and angle 23 are complementary angles because their measures add up to 90°.

Given: RSTU is a parallelogram

21 and 23 are complementary

Prove: 22 and 23 are complementary.

Proof:

It is given that RSTU is a parallelogram, so RU || ST by the definition of parallelogram.

Therefore, angle 21 and angle 22 are alternate interior angles, and by the alternate interior angles theorem, we know that they are congruent, i.e., m(angle 21) = m(angle 22).

It is also given that angle 41 and angle 43 are complementary, so we have m(angle 41) + m(angle 43) = 90° by the definition of complementary angles.

By substitution, we can replace angle 41 with angle 21 and angle 43 with angle 23 since we have proven that angle 21 and angle 22 are congruent.

So, we have:

m(angle 21) + m(angle 23) = 90°

Since we know that m(angle 21) = m(angle 22) from the alternate interior angles theorem, we can rewrite the equation as:

m(angle 22) + m(angle 23) = 90°

Therefore, we can conclude that angle 22 and angle 23 are complementary angles because their measures add up to 90°.

In summary, by using the properties of parallelograms and the definition of complementary angles, we have shown that if angle 21 and angle 23 are complementary, then angle 22 and angle 23 are also complementary.

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Answer:

$18

Step-by-step explanation:

90 x 1/5

90/5

18

Answer:

$22.50

Step-by-step explanation

90 is 80% (4/5) of what number (x)? So you do 90 times 100 = 9000 and 80 times x is 80x and then 9000 divided by 80 is 112.5 so she had 112.5 to begin with but she spent 1/5 so 112.5 divided by 5 is 22.5 so 1 fifth is 22.5

Answer:

Step-by-step explanation: I dont know actually

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

Answer:

1) 63

2) 49

3) 87

4) 44

Step-by-step explanation:

Answer:

a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

Answer:

1798 and 32798

Step-by-step explanation:

31000/100=310

310x5.8=1798