find the distance between the points [a,a] and [-a,-a]

The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.

The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.

To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.

To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.

In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.

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Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

7.88  by  − 1.5 = − 11.82

Step-by-step explanation:

Multiply the two

The function \(h(x) = 5^x\) exhibits exponential growth over the interval from x = 1 to x = 3. It starts at 5 and increases significantly to 125 within this interval.

The function h(x) = 5^x represents exponential growth, where the base 5 is raised to the power of x. To understand how h(x) changes over the interval from x=1 to x=3, let's evaluate the function at these values.

At x = 1, h(1) = 5^1 = 5.

At x = 3, h(3) = 5^3 = 125.

Therefore, over the interval from x = 1 to x = 3, the function h(x) = 5^x increases from 5 to 125. This demonstrates the rapid increase characteristic of exponential functions with a base greater than 1.

The function exhibits exponential growth, where the values increase rapidly as the exponent increases. In this case, the base 5 raised to increasing powers results in a substantial increase in the function's values over the given interval.

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Answer:

2079

Step-by-step explanation:

is the correct answer 2079

Answer:

25 kg.

Step-by-step explanation:

the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.

The equation will be (2w ,+ 3) + (w + 2) + (3w + 4) = 600

The ratio in lowest term will be 2:1:3

When they donate $50, the ratio will be 1:4.

a. The equation based on the information will be:

(2w + 3) + (w + 2) + (3w + 4) = 600

6w + 9 = 600

6w = 600 - 9

6w = 591

Divide

w = 591/6

w = 98.5

b. Therefore, (2w + 3) = 2×98.5 + 3 = 200

(w + 2) = 98.5 + 2 = 100.5

(3w + 4) = 3(98.5) + 4 = 299.5

The ratio in lowest term will be 2:1:3.

c. When they donate $50, the ratio will be:

= (50 × 3)/600

= 150/600

= 1:4

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The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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Approximately 16.5% of the simulated results have a difference in precipitation rates for weekdays and weekends that is less than the observed difference of -0.065.

In the simulation, precipitation rates were measured for weekdays and weekends. The observed difference in precipitation rates between weekdays and weekends was -0.065. To determine the fraction of simulated results where the difference is less than -0.065, we compare each simulated difference to the observed difference.

By examining the simulated results, we find that out of all the simulated scenarios, around 16.5% of them have a difference in precipitation rates for weekdays and weekends that is smaller than -0.065. This indicates that in these scenarios, the weekday precipitation rate is less than the weekend precipitation rate by a smaller magnitude compared to the observed difference.

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Answer:

your answer is in the screenshot cuz you didn't show the graph

Step-by-step explanation:

mrk me brainliest plz

Answer:

Team 1 is 7, team 2 is 6

Step-by-step explanation:

Upper Extreme-Lower Extreme

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Thus, the probability is 1/100 or 0.01, which means there is a 1% chance of getting a triple-digit number with all the same digits in this lottery game.

To calculate the probability of getting a triple-digit number where all digits are the same in a lottery game that consists of selecting a three-digit number, you should first determine the number of favorable outcomes and the total possible outcomes.

There are 9 favorable outcomes, as the triple-digit numbers with the same digits are: 111, 222, 333, 444, 555, 666, 777, 888, and 999. Note that we don't include 000 since it's not a triple-digit number.

Now, let's find the total possible outcomes. In a three-digit number, there are 10 possible digits (0-9) for each of the three positions. However, the first position cannot be 0, as that would not be a triple-digit number.

So, there are 9 possible digits for the first position and 10 for the other two. The total possible outcomes are 9 x 10 x 10, which equals 900.

Finally, to find the probability of getting a triple-digit number with all the same digits, divide the number of favorable outcomes by the total possible outcomes:

Probability = Favorable Outcomes / Total Possible Outcomes
Probability = 9 / 900

The probability is 1/100 or 0.01, which means there is a 1% chance of getting a triple-digit number with all the same digits in this lottery game.

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It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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Answer:

Step-by-step explanation:

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The ball traveled approximately 127.28 feet from home plate to second base.

In baseball, the paths between bases form a square with side lengths of 90 feet each. When the catcher throws the ball from home plate to second base, the ball travels along the diagonal of this square.

To find the length of the diagonal, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two side lengths.

In this case, both side lengths are 90 feet, so the equation is:

Diagonal² = 90² + 90²

Diagonal² = 8,100 + 8,100

Diagonal² = 16,200

To find the length of the diagonal, take the square root of 16,200:

Diagonal ≈ 127.28 feet

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Answer:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.

The null hypothesis (H0) is that the average delivery time for U.S. packages during December is 2 days, while the alternative hypothesis (Ha) is that the average delivery time is longer than 2 days.

Based on your question, you want to test if the average delivery time for U.S. packages in December is longer than 2 days. In this hypothesis test, you would have the following hypotheses:

Null Hypothesis (H0): The average delivery time for U.S. packages in December is 2 days.
Alternative Hypothesis (H1): The average delivery time for U.S. packages in December is greater than 2 days.

Thus, H0: μ ≤ 2 (where μ is the population mean delivery time)
Ha: μ > 2

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Answer:

he last ratio is written incorrectly.

Mandy reversed the input and output in the numerator and denominator.

The correct ratio is 50/10.

The relationship is proportional.

Answer:

62

Step-by-step explanation:

The dependent variables in the following scenario are whether the bacon becomes moister and more flavorful and the independent variable is the cooking method.

In statistics, a dependent variable is one whose value is determined by another set of variables called independent variables. To put it simply, the dependent variable is the thing that is being tested or calculated. The dependent variable is sometimes known as the "outcome variable." In the given scenario, the chef was curious as to whether or not frying or microwaving the bacon would produce a moister and more flavorful final product. The bacon is the result of the experiment, hence it is a dependent variable.

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Answer:

No solutions.

Step-by-step explanation:

In this question, we have to solve for x in the inequality.

Solve:

x + 3 > x + 7

Subtract "x" from both sides to move the x over.

3 > 7

However, we don't have any x values after we cancelled the x, therefore meaning that the inequality has no solutions.

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Answer: x = 29; RZ = 60, SW = 120

Step-by-step explanation:

If you look at the lines, RZ is half the value of SW. Knowing this, we can set up an equation like this:

2(RZ) = SW

2(2x+2) = 5x-25

By plugging in the values for RZ and SW, we can set them equal to each other and find x.

2(2x+2) = 5x-25

4x+4 = 5x-25

4 = x-25

x = 29

I think you only needed the variable, but I can provide the measures of the line, just in case:

RZ = 2x+2 ; 2(29)+2 = 60

SW = 5x-25 ; 5(29)-25 = 120

Since RZ is half of SW, we can tell we correctly determined x. Hope this helps!

Answer: Depreciating at 7% 100 - 7 = 93%

93% = 93/100 = 0.93

0.93 is your factor of depreciation.

There are 9 years between 2004 and 2013

So, you set 9 as power on your factor

0.93^9

Multiply your original value

$192,000 x 0.93^9

= $99,918.93

This is the value of the boat in 2013.

Step-by-step explanation: Hope this helps

The probability that the card that Olga turns over has a rose on it would be 4/5.

Since, Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that;

There are 5 cards with a picture of a rose and 1 card with a picture of a daisy.

Olga keeps all the cards face down on the table with the pictures hidden and mixes them up.

Then , Total number of cars after Olga removed one rose card from the table is,

4 rose cards + 1 Daisy card

= 5

Therefore, the probability divide the number of rose cards left by the total number of cards left is,

= 4/5

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Based on the information given regarding the percentage, the concentration of the new mixture will be 3.8 gallons.

From the information given, it was stated that a gallon of 80% acid was mixed with 3 gallons of water.

Therefore, the concentration of the new mixture will be:

= (80% × 1) + 3

= (0.8 × 1) + 3

= 0.8 + 3

= 3.8

Therefore, the new concentration will be 3.8.

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