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The value of i₂ when i ₁ = 4, m₁ = 4, m₂ = 12 is 0.0028.

a) Using periodic interest rate formula:¿ = Find i, when PV = $2, 200, FV = 2, 480.85, n = 8i = Round to four decimal placesFV = PV (1 + i)nFV / PV = (1 + i)n(2,480.85 / 2,200) = (1 + i)⁸1.12765909091 = (1 + i)⁸

Using power formula, we get:(1 + i) = (1.12765909091)^(1/8) = 1.0158Therefore, i = 1.0158 - 1i = 0.0158b) Using the equivalent interest rate formula:i₂ = (1 + i₁ / m₁)^(m₁/m₂) - 1i₂ = (1 + 0.033 / 4)^(4/12) - 1i₂ = (1.00825)^0.33333333333 - 1i₂ = 0.00275329166

Therefore, rounded to four decimal places, i₂ = 0.0028

Therefore, the value of i₂ when i ₁ = 4, m₁ = 4, m₂ = 12 is 0.0028.

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Answer:

y=-0.7x+82.5

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

two hours is the closest number to 0 they all reach.

Answer:

Step-by-step explanation:

Answer:

\((a^{2}+b^{2})^{1/3}\)

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Answer:

True

Step-by-step explanation:

1 and 2 are next to each other and adjacent means next to each other.

Answer:

.. .. ... ... .. .. , ,jink

The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.

The non-random sample that best resembles stratified random sampling is quota sampling.

Using the non-probability sampling technique of quota sampling, researchers select a sample of people who are typical of the population. These people are chosen by researchers based on specific traits or qualities. In order to use market research samples for data collecting, they decide on and set sample quotas. These samples accurately reflect the entire population. The interviewer's or researcher's knowledge of the population will be the only factor used to select the final subgroup.

Probability sampling means that every member of the population has a chance of being selected.

There are four main types of probability sample.

Simple random sampling.

Systematic sampling.

Stratified sampling.

Cluster sampling.

For instance, a tobacco company would want to know which age group in a given city loves which brand of smokes. The age groups of 21–30, 31–40, 41–50, and 51+ are subject to survey quotas. Based on these findings, the researcher makes an estimation of the smoking trend in the city's inhabitants.

Therefore,

The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.

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Answer:

Step-by-step explanation:

\(7^{2} +x^{2} =24^{2} \\49+x^{2} =576\\x^{2} =418\\x=\sqrt{418}\)

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

The total value of the investment at maturity is $1200

The given parameters are

Principal, P = $1000

Rate, r = 5%

Time, t = 4 years

The total amount is calculated as:

A = P + PRT

So, as have

A = 1000 + 1000 * 5% * 4

Evaluate

A = 1200

Hence, the total value of the investment at maturity is $1200

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The matrix that would best describe the data for both tutors is given as follows:

\(\begin{bmatrix}\\240 \\120\\ 60\end{bmatrix}\) \(\begin{bmatrix} 45& 65\\25 & 35\\15 & 20\end{bmatrix}\)

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.

The following are the various kinds of matrices:

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Answer:

Step-by-step explanation:

19?

Answer:

5 km

Step-by-step explanation:

Explanation:

x = amount she travels on each of those three remaining days

3x = total amount traveled over those three remaining days

3x+24 = total amount traveled over the four days

3x+24 = 120 miles total

This equation is in the form px+q = r where:

Let's solve for x. We follow PEMDAS in reverse to undo what's happening to x, so we can isolate it.

3x+24 = 120

3x+24-24 = 120-24 .... subtract 24 from both sides

3x = 96

3x/3 = 96/3 .... divide both sides by 3

x = 32

Triana must travel 32 miles per day for those remaining three days.

Doing so means she travels 3x = 3*32 = 96 miles over those three remaining days. Then add on those 24 miles traveled on the first day to get 96+24 = 120 miles total. This helps confirm the answer.

Another way to confirm the answer is to plug x = 32 into 3x+24 = 120. After simplifying both sides, you should get 120 = 120 which is a true statement.

The rectangular coordinates, (x, y) for P include the following: C. (4, -4√3).

In Mathematics and Geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules can be represented by the following polar functions:

x = rcos(θ)    ....equation 1.

y = rsin(θ)     ....equation 2.

Where:

Based on the information provided by the polar graph, we can logically deduce that point P has a radius of 8 units and it's positioned 2 angular lines beyond 3π/2:

Angle (θ) = 3π/2 + (2 × π/12)

Angle (θ) = 3π/2 + π/6

Angle (θ) = 10π/6 = 5π/3.

Therefore, the rectangular coordinate (x, y) are given by:

x = 8cos(5π/3)

x = 8 × 1/2

x = 4.

y = 8sin(5π/3)

y = 8 × (-√3/2)

y = -4√3

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As the PCR product size was 214 then there will be 06 repeats in the products.

PCR technique used to make multiple DNA copies from a segment or small sequence of DNA that is called primer for identification or detection of the pathogen.

Given that:

Primer amplified base pairs = 130  that are adjacent to - 14 base pair repeats.

PCR product size was 214

So, the extra nucleotide that we get would be

= product size - primer amplified

= 214 - 130

= 84 bp

Extra repeats you got = 84 /14

                                    = 6 repeats

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Answer:

m - 9 = 3/5 m (Steve has some money. After spending $9, he now has 3/5 of his original amount)

So it's just the matter of isolating m. Subtract m from both sides:

-9 = -2/5 m

Now you just need to multiply both sides by -5/2 to get your final answer.

Step-by-step explanation:

Answer:

yes!

Step-by-step explanation:

hi, that is correct. 3800 is a constant, meaning it is consistent and the initial height of the plane before it starts its descent.

The equation of the tangent line to the curve y = ln(x^3 - 124) at the point (5, 0) is y = 75x - 375.

To determine the equation of the tangent line to the curve y = ln(x^3 - 124) at the point (5, 0), we need to get the derivative of the function and evaluate it at x = 5.

Let's start by finding the derivative of y with respect to x. Using the chain rule, the derivative of ln(x^3 - 124) is given by:

dy/dx = 1 / (x^3 - 124) * d/dx (x^3 - 124)

The derivative of x^3 - 124 with respect to x is simply 3x^2. So, the derivative of y becomes:

dy/dx = 1 / (x^3 - 124) * 3x^2

Now, let's evaluate this derivative at x = 5:

dy/dx = 1 / (5^3 - 124) * 3(5^2)

= 1 / 1 * 3(25)

= 75

Therefore, the slope of the tangent line at the point (5, 0) is 75.

To get the equation of the tangent line, we use the point-slope form of a line:y - y1 = m(x - x1)

Substituting the values of the point (5, 0) and the slope m = 75, we have:y - 0 = 75(x - 5)

Simplifying the equation, we get:

y = 75x - 375

Thus, the equation of the tangent line to the curve y = ln(x^3 - 124) at the point (5, 0) is y = 75x - 375.

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Answer:

Step-by-step explanation:

Since the events A and B are equal, the probability P(A and B) is the same P(A).

The outcomes that are greater than or equal 6 are 6 and 7, and the probability of each one is: P(6) = 0.14 and P(7) = 0.13

So we have that:

Answer:

a. -4

Step-by-step explanation:

142 = -6(5n + 1) - 7n

142 = -6*5n + 1*(-6) - 7n  ==> distributive property

142 = -30n + (-6) - 7n

142 = -30n - 6 - 7n

142 = -30n - 7n - 6

142 = -37n - 6

142 + 6 = -37n - 6 + 6

148 = -37n

-37n/(-37) = 148/(-37)

n=-4 ==> a

Answer: 500

Step-by-step explanation: Good luck! :D

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

The value of the weighted average cost of capital of the firm is 8.8%.

According to the statement

we have to compute the weighted average cost of capital of the firm.

And for this purpose,

The given information is:

debt with market value = $23 million and  

equity with market value = $46

Pre-tax cost debt = 5.4%

Cost of equity = 11% and marginal tax rate is 21%

So, The formula to find weighted average cost:

WACC = weight in equity × cost of equity + weight in debt × cost of debt × (1-tax rate)

Substitute the values in it then

Here weight in equity become = 46/(23+46)

weight in equity = 46/69

And

weight in debt = 23/69.

So, put the values then

WACC = 46/69 × 0.11 + 23/69 × 0.054 × (1 - 0.21)

WACC = 0.67 × 0.11 +  0.34 × 0.054 × (1 - 0.21)

WACC = 0.0737 + 0.01836 (0.79)

WACC = 0.0737 + 0.0145

WACC = 0.0882

WACC = 8.8%

So, The value of the weighted average cost of capital of the firm is 8.8%.

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1. Inscribed angle DGE is 42 degrees, 2. Arc CD measures 51 degrees, 3.  Angle P and angle R each measure (5x+20) degrees, and angle Q and angle S each measure (180-sum of other two angles), 4. Angle PRQ measures 31 degrees, 5. The circumference of the Ferris wheel is 50π feet (or approximately 157.08 feet if rounded to two decimal places).

Inscribed angles in a circle are half the measure of the arc they cut, and kite angles can be found by subtracting the sum of the other angles from 180. Circumference of a wheel is found using C = 2 * pi * r, where r is the radius.

1. Let's say that point E is the center of the circle. If the measure of arc DE is 84 degrees, then angle DGE is half of that, or 42 degrees. So the measure of the inscribed angle DGE is 42 degrees.

2. In a circle, the measure of an arc is equal to the measure of its central angle. So, if the central angle CAD is 51 degrees, then the measure of arc CD is also 51 degrees.

3. To find the angle measures of kite PQRS, we need to find the sum of the measures of angle P and angle S. Let's call the measure of angle P (5x + 20) degrees, and the measure of angle Q (10x) degrees. Then, the measure of angle R (7x - 8) degrees, and the measure of angle S is equal to 180 - (5x + 20) - (10x) - (7x - 8) = 180 - 22x - 28 = 152 - 22x degrees. So, the sum of the measures of angle P and angle S is (5x + 20) + (152 - 22x) = 177 - 17x degrees.

4. In a tangent-secant segment, the measure of the angle between the tangent and the secant is equal to half the measure of the arc it cuts. Since the measure of angle PQR is 59 degrees and PR is a tangent-secant segment, the measure of angle PRQ is half of 59 degrees, or 29.5 degrees.

5. To find the circumference of the Ferris wheel, we need to use the formula for circumference: C = 2 * pi * r, where r is the radius of the wheel. The diameter of the wheel is 50 feet, so the radius is 50 / 2 = 25 feet. Substituting this into the formula, we get: C = 2 * pi * 25 = 50 * pi feet.

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The area of the wrapping paper would be = 72.5in².

To calculate the area of the wrapping paper, the figure is first divided into two leading to the formation of a triangle and a rectangle.

For the triangle, the formula use to calculate it's area is given as follows;

Area = 1/2 base × height

base = 15-10 = 5 in

height = 9-4 = 5 in

area = 1/2×5 × 5

= 25/2 = 12.5 in²

Area of a rectangle = length× width

width = 4 in

length = 15 in

area = 4×15 = 60in²

Therefore the area of the wrapping paper = 12.5+60 = 72.5in²

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The required cost of the meal given as a hot dog is of $6 and the hamburger is of $8.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Let's call the cost of a hot dog meal "x" and the cost of a hamburger meal "y".

From Mrs. Hammond's purchase, we know that:

x + 3y = 30   -- - - - - -(1)

From Mr. Weber's purchase, we know that:

3x + 3y = 42 - - - - - -(2)

We can use substitution to solve for one of the variables in terms of the other. If we substitute the first equation into the second equation:

3x + 3y = 42

3x + 3(30 - x)/3 = 42

3x + 30 - x = 42

2x = 12
x = 6

now,
6 + 3y = 30
3y = 24
y = 8

Thus, the required cost of the meal given as a hot dog is of $6 and a hamburger is $8.

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99.85% of adults in the city have a systolic blood pressure of less than 110 mmHg.

Using 68-95-99.7 rule, we know that

99.7% of values lie between the interval (mean - 3 × standard deviation, mean + 3 × standard deviation)

(100 - 99.7) = 0.3% values lie outside the interval (mean - 3 × standard deviation, mean + 3 × standard deviation).

Since the normal distribution is bell-curved and symmetrical,

we can say

0.3/2 = 0.15% values are less than the mean - 3 × standard deviation

and 0.3/2 = 0.15% values are greater than mean + 3 × standard deviation.

Here,

Mean + 3 × standard deviation.

= 110 + 3 × 10 = 140

So, 0.15% of values  are greater than 140

So, (100 - 0.15) = 99.85% values are less than 140.

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