what proportions of your own money balance are held for transactions, precautionary, and speculative purposes? define each term then discuss your proportions

Answer:

A. 1/2

Step-by-step explanation:

3/16   /    3/8

3/3 = 1

16/8 = 2

1/2

Answer: 1/2

Step-by-step explanation:

3/16 divided by 3/8

To divide by a fraction multiply by the reciprocal of that fraction

3/16 x 8/3

Reduce the numbers with the GCF (3)

1/16 x 8

Reduce the numbers with the GCF (8)

1/2 or 0.5

Answer:

8/3  or 2.67 to nearest hundredth.

Step-by-step explanation:

15 = 3y + 7

15 - 7 = 3y

3y = 8

y = 8/3

Answer:

a sin(bθ−c)+d

→ Using this, find the amplitude based off of the given formula. Use the expression as a reference to help you identify a.

a = 3

b = 4

c = 0(no defined value)

d = 0(impossible to identify)

→ Find a.

→ Since a is already given, we know that a = 3, therefore, the amplitude is 3

Answer:

8÷(x+3)

Step-by-step explanation:

it doesnt specify what number you add with 3 so you substitute it with a variable such as x.

The sum is adding so x +3 and then divide by 8

If a value of y relates only to one value of x, then the function does have an inverse function.

A relation between such a collection of inputs and outputs is known as a function.

Thus, if a value of y relates only to one value of x, then the function does have an inverse function.

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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The total amount paid to the finance company if the loan is repaid in 40 years is $317,376.00 (option c).

First, we need to find out how much money the couple borrowed. Since they got financing for 80% of the $150,000 purchase price, they borrowed $120,000 ($150,000 x 0.8 = $120,000).

Next, we need to find the monthly interest rate. Since the interest rate is 6% per year, the monthly interest rate is 0.06/12 = 0.005.

Now we can use the table to find the monthly payment per $1000 of mortgage for a 40-year loan with a 6% interest rate. Looking at the fifth column of the table, we find the entry that corresponds to a 6% interest rate and a 40-year loan, which is 5.86. This means that for each $1000 borrowed, the monthly payment is $5.86.

To find the monthly payment for the couple's $120,000 loan, we multiply the monthly payment per $1000 by 120 (since they borrowed $120,000). So the monthly payment is 5.86 x 120 = $703.20.

Finally, we need to calculate the total amount paid to the finance company over the 40-year period. Since the couple will make 12 payments per year for 40 years, the total number of payments will be 12 x 40 = 480. So the total amount paid will be the monthly payment ($703.20) multiplied by the total number of payments (480). This gives us a total of $317,376.

Therefore, the correct option is (c).

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Answer:

39

Step-by-step explanation:

Complementary angles add up to 90.

(6x - 15) + (3x + 6) = 90

9x - 9 = 90

9x = 99

x = 99/9 = 11

m∠2 = 3(11) + 6 = 39

The simplified form of the given expression is 9b

From the question, we are to simplify the given expression

The given expression is 3√b^2

This expression can be properly written as

(3√b)²

To simplify the expression,

First, we will expand the expression by applying one of the rules of exponents

(3√b)²

Applying the rule of exponent

3² × (√b)²

9 × b

= 9b

Hence,

The simplified expression is 9b

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10.59 is the value of the given side b.

In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.

Using the sine rule, we can write:

b/sin(27°) = 15/sin(40°)

To find the value of b, we can rearrange the equation:

b = (15 * sin(27°)) / sin(40°)

evaluate the trigonometric functions and calculate b:

b ≈ 10.59

Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.

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The true statement about the rate of change of the table is (c) The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00

From the table, we have the following ordered pairs

(x,y) = (150,-500) and (200,0)

The rate (r) is then calculated as:

\(r = \frac{y_2 -y_1}{x_2 -x_1}\)

So, the equation becomes

\(r = \frac{0 + 500}{200 - 150}\)

Evaluate the difference and the sum

\(r = \frac{500}{50}\)

Evaluate the quotient

\(r = 10\)

The value of the rate represents that for every 1 ticket sold, there is a net profit of $10

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The probability that in 63 tosses of a fair die, fewer than 6 fours will be obtained is approximately 0.068. The probability that in 48 tosses of a fair die, fewer than 9 fours will be obtained is approximately 0.026.

1. Let X be the number of fours in 63 tosses of the fair die. X is a binomial random variable with n = 63 and p = 1/6 (since there is 1 favorable outcome and 6 possible outcomes on each toss). We need to find P(X < 6), which can be calculated using the normal approximation to the binomial distribution. The mean and standard deviation of X are:

μ = np

μ = 63/6

μ = 10.5

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{63/6 \times 5/6}\)

σ ≈ 2.485

To use the normal approximation, we standardize X:

Z = (X - μ)/σ = (5.5 - 10.5)/2.485 ≈ -2.01

We want to find P(X < 6), which is equivalent to P(Z < (6 - 10.5)/2.485) = P(Z < -1.80). From a standard normal distribution table or calculator, we find that P(Z < -1.80) ≈ 0.03593. Therefore, P(X < 6) ≈ 0.03593, which when rounded to the nearest thousandth is approximately 0.068.

2. Let X be the number of fours in 48 tosses of the fair die. X is a binomial random variable with n = 48 and p = 1/6. We need to find P(X < 9), which can be approximated using the normal distribution.

μ = np

μ = 48/6

μ = 8

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{48/6 \times 5/6}\)

σ ≈ 2.044

To use the normal approximation, we standardize X:

Z = (X - μ)/σ = (8.5 - 8)/2.044 ≈ 0.25

We want to find P(X < 9), which is equivalent to P(Z < (9 - 8)/2.044) = P(Z < 0.49). From a standard normal distribution table or calculator, we find that P(Z < 0.49) ≈ 0.68681. Therefore, P(X < 9) ≈ 0.68681, which when rounded to the nearest thousandth is approximately 0.026.

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Answer:

17.25

Step-by-step explanation:

Answer:

$17.25

Step-by-step explanation:

You need to find the tip and add it to the original $15

15 + 15 x 15%

= 15 x 115%

= 15 x 115/100

= 1725/100

= 17.25

Based on the information provided, we know that m<5 has a measure of 64 degrees and m<6 can be represented as 3x-25.

In order to find the value of x, we need to solve for x in the equation 3x-25=m<6. Since we know that m<6 is equal to (3x-25), we can substitute this expression in the equation to get 3x-25=(3x-25).

By simplifying this equation, we get 3x=3x, which means that x can be any value since the equation is true for all x values. Therefore, we cannot determine the specific value of x based on the given information.

It's important to remember that when solving for unknown angles or variables, we need to use the equations and information given to us and make sure to simplify the equations as much as possible to get a clearer understanding of the problem.

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Answer:

any awnser that is equivalent to 49 is correct

Answer: -2

Step-by-step explanation:

(-4+-3) -(2-7)

-7 - -5

-7+5= -2

Answer:

Step-by-step explanation:

(-4)  & (-3) have same sign ( -ve) . So add and put the (-) sign for the result.

2 is a positive number and (-7) is a negative number. Subtract and put the sign of the bigger number for the result.

(-4 + (-3) ) - (2 - 7) = -7 - (-5)

                           = - 7 + 5

                            = -2

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

The mean of a probability distribution, also known as the expected value, is a measure of central tendency that represents the average value of a random variable in the long run. It is calculated by taking the weighted average of all possible values that the random variable can take, with the weights being the probabilities of each value occurring.

In the case of a discrete random variable, the mean is calculated by multiplying each possible value by its probability and then summing the results. For a continuous random variable, the mean is calculated by integrating the product of the value and its probability density function over the entire range of possible values.

The mean is significant because it provides a measure of the central tendency of a probability distribution, which can be used to make predictions about future outcomes. It is also used in various applications, such as calculating the expected value of a financial investment or the expected number of occurrences of an event in a given time period.

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

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The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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Answer:

Their are many other answers to this question this is one of the ones that are correct.

By showing for every point x in V, there exists an open ball B(x, ε) that is contained entirely within V we proved V is open.

To prove that V is open, we need to show that for every point x in V, there exists an open ball B(x, ε) that is contained entirely within V.

So take any point x in V. Since s < ||x − a|| < r,

we know that x is at a distance greater than s from a, but less than r.

Say this distance d = ||x − a||.

Now, Consider the point y that is halfway between x and a.

That is, let y = (x + a)/2.

Notice that ||x − y|| = ||a − y|| = d/2.

Since 0 < s < d/2, we know that s + d/2 < d.

Therefore, we can choose ε = d/2 − s such that B(x, ε) is contained entirely within set V.

To see this, let z be any point in B(x, ε). Then ||x − z|| < ε = d/2 − s,

which means that ||x − z|| + s < d/2.

But ||z − a|| ≤ ||x − a|| + ||x − z||, so we have,

⇒ ||z − a|| > ||x − a|| − ||x − z|| > d − (d/2 − s) = d/2 + s > s.

Therefore, z is in V, and since z was arbitrary,

we've shown that B(x, ε) is contained entirely within V.

Thus, we've shown that for every point x in V,

We can find an open ball B(x, ε) that is contained entirely within V. Therefore, V is open.

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The first equation is the current output (y) in terms of the previous two outputs and an input (e), the second equation relates the current output to the previous two outputs and an input at a different time step.

The given equations represent a system of linear difference equations, commonly used in discrete-time signal processing and control systems. The equations describe the relationship between the current output (y) and the previous outputs, as well as the input (e).

In the first equation, the term y(k+2) represents the current output, while y(k+1) and y(k) represent the previous outputs at two different time steps. The coefficients -0.8 and 0.15 determine the influence of the previous outputs on the current output. The term e(k) represents the input at the current time step.

Similarly, in the second equation, y(k) represents the current output, while y(k-1) and y(k-2) represent the previous outputs at two different time steps. The coefficients 0.8 and -0.15 determine the influence of the previous outputs on the current output. The term e(k-2) represents the input at a different time step.

These equations can be used to analyze and model the behavior of systems that exhibit dynamic responses, such as electronic circuits, mechanical systems, or financial models. By solving or analyzing the equations, one can gain insights into the stability, transient response, and frequency characteristics of the system. Additionally, techniques such as z-transforms or difference equations can be employed to find the transfer function and perform further analysis or design of control systems based on these equations.

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Answer:

6

Step-by-step explanation:

Step 1:

10 = 3x - 8      Equation

Step 2:

18 = 3x      Add 8 on both sides

Step 3:

18 ÷ 3     Divide

Answer:

x = 6

Hope This Helps :)

The statistical test that should be done to determine if there is a significant difference is the independent t-test.

What're is an independent t-test?

It should be noted the independent t-test or students t-test for two samples should be used.

The Independent Samples T-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different.

In this case, the biology department needs to decide which lab curriculum yields better student outcomes, the.t text can be applicable.

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The measure of one interior angle of a regular 16-gon is 157.5 degrees. This is obtained by using the formula (n-2) * 180° / n, where "n" represents the number of sides of the polygon. In this case, (16-2) * 180° / 16 = 157.5°..

To find the measure of one interior angle of a regular 16-gon, we can use the formula for the measure of an interior angle of a regular polygon:

Interior Angle = (n-2) * 180° / n

where "n" is the polygon's number of sides.

For a regular 16-gon, substituting the value of "n" into the formula, we get:

Interior Angle = (16 - 2) * 180° / 16

= 14 * 180° / 16

= 2520° / 16

= 157.5°

Therefore, the measure of one interior angle of a regular 16-gon is 157.5 degrees.

To understand the calculation, let's break it down. Equal interior angles and sides define a regular polygon. The sum of the interior angles of any polygon is given by the formula (n-2) * 180°, where "n" is the number of sides. In a regular polygon, all the interior angles are congruent, so to find the measure of one angle, we divide the sum by the number of sides.

In the case of a regular 16-gon, we subtract 2 from 16 to get 14, multiply it by 180°, and then divide by 16 to find that each interior angle measures 157.5°.

Therefore, the measure of one interior angle of a regular 16-gon is 157.5 degrees.

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Answer:

x = 116°

Step-by-step explanation:

since l and m are parallel lines

by property

116° = x

Answer:

315 hamburgurs could be a possible answer

Step-by-step explanation:

Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.

Answer:

I think its right , acute and scalene

Step-by-step explanation:

Answer:  3n+2  hours

To get this answer, you divide the distance over speed

This is because

distance = rate*time

time = distance/rate

So we have

time = (distance)/(rate)

time = (6n^2+4n)/(2n)

time = (6n^2)/(2n) + (4n)/(2n)

time = 3n + 2 hours

the Probability of 0.04 and would warrant a refund.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.84mm and a standard deviation of 0.35mm.

probability = P(X<0.24)

= (Z<(0.24-0.84)/0.35)

= P(Z<(-1.7143)

= 0.0432 ~ 0.04

since the above probability is less than 0.05 ;

this event can be termed unusual

therefore, the Probability of 0.04 and would warrant a refund.

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Hi there! Hopefully this helps!

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If it were me, I would tell her that if her prediction is accurate, the chance of getting tails is 0.5 (Since 240 is half of 480). The odds of landing heads would be identical, 0.5. In real life, she wouldn't certainly get 240 tails out of 480 tosses, but the standard rate of the number of tails would certainly be resembling 0.5.

The answer above is the right answer.