This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $112,681 left to pay on your loan. Your house is now valued at $190,000. Your current situation How much of the original loan have you paid off? (i.E, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)

Maria has the highest standardized score of 2.13, making her the one who made the best score.

Janna's standardized score is 0.80, and Maria's is 2.13.

Janna scored 77 on her history test, while the class average was 72.7 with a standard deviation of 6.1. To find the standardized score, the formula is (score - average) / standard deviation. Therefore, the standardized score for Janna is \((77-72.7)/6.1\)= 0.80.

Maria scored 89 on her biology test, while the class average was 82.6 with a standard deviation of 5.6. To find the standardized score, the formula is (score - average) / standard deviation. Therefore, the standardized score for Maria is \((89-82.6)/5.6\)= 2.13.

Maria has the highest standardized score of 2.13, making her the one who made the best score.

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After following the steps of quadratic equation described below,

We can prove,

⇒ x =  -b±√(-4ac+  b²)/2a

Given that;

The quadratic equation is,

ax²+bx+c = 0,

As a result, the following steps must be taken to obtain the quadratic formula from the equation:

ax²+bx+c = 0

Take subtraction of c both sides.

ax²+bx+c-c = 0-c

ax²+bx = -c

Substitute a for both sides of the equation.

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Complete the square by adding  (b/2a)² times a squared to each sides.

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Find the lowest common denominator on the right side of the equation. 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Add the fractions on the right side of the equation together.

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Because, as shown in the question, the fraction on the right-hand side of the equation is to be added together rather than multiplied.

As demonstrated, the equation on the left should be expressed as a perfect square.

(x+b/2a)² =  (-4ac+  b²)/4a²

Add the square roots of both sides together.

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Take b/2a off both sides.

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Add the fractions on the right side together.

x =  -b±√(-4ac+  b²)/2a

Therefore, This gives the required equation.

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The probability of not getting a red jack when selecting one card at random from a standard deck of 52 cards is (50/52) or approximately 0.962.

This is because there are 50 cards that are not red jacks out of a total of 52 cards in the deck.

The probability of not getting a red jack when selecting one card at random from a standard deck of 52 cards can be calculated using these terms:

There are 2 red jacks in the deck, and 52 cards in total. Therefore, there are 50 cards that are not red jacks (52 - 2).

To find the probability, divide the number of favorable outcomes (not getting a red jack) by the total number of possible outcomes (total cards in the deck).

Probability = (Number of favorable outcomes) / (Total possible outcomes) = 50/52 = 25/26 ≈ 0.96 or 96%.

So, the probability of not getting a red jack when selecting one card at random is approximately 96%.

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Answer:

1553/1250 its already in its simplified form

Answer:

5th term=20 6th term=23

Step-by-step explanation:

okay so its going up in 3

starting from 8

8,11,14,17,20,23

The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.

The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.

For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.

Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.

In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.

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Step-by-step explanation:

We can use the kinematic equations of motion to solve this problem. Let's assume the initial velocity of the snowball is 16 feet per second and its initial height is 32 feet. Also, we know that the acceleration due to gravity is -32.2 feet per second squared (assuming downward direction as negative).

To find out when the snowball hits the ground, we can use the equation:

h = 32 + 16t - 16t^2

where h is the height of the snowball at time t. We want to find the value of t when h = 0 (since the snowball hits the ground at that point). Therefore, we can rewrite the equation as:

16t^2 - 16t - 32 = 0

Dividing both sides by 16, we get:

t^2 - t - 2 = 0

Solving for t using the quadratic formula, we get:

t = (1 ± √(1 + 8))/2

t = 2 seconds or -1 second

Since time cannot be negative, the snowball hits the ground after 2 seconds.

To find the maximum height the snowball reaches, we can use the fact that the maximum height occurs at the vertex of the parabolic trajectory. The x-coordinate of the vertex is given by:

t = -b/2a

where a and b are the coefficients of the quadratic equation. In this case, a = 16 and b = -16, so:

t = -(-16)/(2*16) = 0.5 seconds

To find the corresponding height, we can substitute t = 0.5 seconds into the equation for h:

h = 32 + 16(0.5) - 16(0.5)^2

h = 36 feet

Therefore, the maximum height the snowball reaches is 36 feet.

Answer:

2000000000 is standard notation

Since 2 billion is 2 times 1 billion, then 2 billion can be written as 2×109 2 × 10 9 . A light year is the number of miles light travels in one year, about 5,880,000,000,000.

hope this helps

Answer:

A. y=\(\frac{3}{2}\)x-3

B.y=\(\frac{-3}{4}\)x-3

Step-by-step explanation:

Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=\(\frac{3}{2}\)x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=\(\frac{-3}{4}\)x-3

To solve the triangle, or identify unknown portions in terms of known portions, we can apply the Pythagorean theorem and the properties of sines, cosines, and tangents. The x is  8 .

To solve the triangle, or identify unknown portions in terms of known portions, we can apply the Pythagorean theorem and the properties of sines, cosines, and tangents.

Pythagorean theorem: a2 + b2 = c2.

Sine: sin A=a/c, sin B=b/c.

Cosines: cos A = b/c, cos B = a/c.

Identity based on trigonometry

cos x sin (90-x)

therefore, if we have

(4x plus 10) o = Cos (6x)

(4x plus 10) o = Sin (90- 6x)

4x + 10 = 90 - 6x

4x+6x = 90 - 10

10x = 80

x = 80/10

x = 8

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Answer:

x=4, y=1

I think its that

Step-by-step explanation:

X = Y(1/2) does not follow a normal distribution if Y has one degree of freedom and follows a chi-square distribution, Y 2(1).

With this knowledge, we can state that if Y 2(1), then X = Y(1/2) is equivalent to obtaining the square root of the square.

The central limit theorem can be used to demonstrate that (X-n)/ (2n)(1/2) approaches a typical normal distribution as n approaches infinity (CLT).

According to the CLT, as sample size increases, the sum of independent and identically distributed random variables, when properly normalized, converges in distribution to a standard normal distribution.

If X 1, X 2,..., X n are independent and identically distributed random variables with finite mean and finite variance 2, then the distribution of (X 1 + X 2 +... + X n - n) / (n) converges to a conventional normal distribution as n approaches infinity.

For a chi-square distribution with n degrees of freedom, X i N(0,1) for I = 1, 2,..., n, and X i are independent. As a result, X = X 1 + X 2 +... + X n 2 (n).

Because the mean of X is n and the variance of X is 2n, we can use the CLT to get:

(X – n) / (2n)(1/2) N(0,1) as n

As n increases, the distribution of (X-n)/ (2n)(1/2) approaches that of a conventional normal distribution.

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Answer:

p = s + dgh

p - s = dgh

(p - s) / dg = h

Answer = h= p-s/dg

The formula that represents the height "h" in terms of p, s, d, and g is expressed as  (p - s)/dg

Given the formula for determining the pressure, p, exerted  on an object at a depth, h, below the surface of a  liquid expressed as p = s + dgh where:

s is the atmospheric  pressure,

d is the density of the liquid, and;

g is the  acceleration due to gravity

We are to make h the subject of the formula;

p = s + dgh

Subtract s from both sides

p - s = dgh

dgh = p - s

Divide both sides by dg

dgh/dg = (p - s)/dg

h =  (p - s)/dg

Hence the formula that represents the height "h" in terms of p, s, d, and g is expressed as (p - s)/dg

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Answer:

$27.93

Step-by-step explanation:

First we divided 4 from 15.96 and got 3.99, so now we know that $3.99 is how much each ounce of jellybeans costs so now we multiply 3.99 times 7 to get our answer of 27.93.

Answer:

The rate is 1.75 feet/seconds or 105 feet/minute.

Step-by-step explanation:

Given that,

Li walks at a constant rate of 7 feet in 4 seconds

To find the constant of proportionality, divide 7 feet by 4 seconds.

So,

\(k=\dfrac{7\ \text{feet}}{4\ \text{seconds}}\\\\k=1.75\ \text{ft/s}\)

1.75 ft/s is the constant of proportionality

We know that, 1 minute = 60 seconds

k = 105 feet/minute

So, the rate is 1.75 feet/seconds or 105 feet/minute.

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

I think it is the fourth one

\(y = \frac{1}{8} x + 9\)

Step-by-step explanation:

I hope that is useful for you :)

Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x

Answer:

B.15.9

Step-by-step explanation:

Trigonometry

7.7/SIN(29)=15.9

Answer:

3.7 cm

Step-by-step explanation:

See attached worksheet

Answer:

$15.00

Step-by-step explanation:

Just did the quiz

By evaluating the piecewise function, we will see that the brother owes $15.

The piecewise function is:

y = 26,   if 0 < h < 4

y = 26 + 5*(h - 4),  if 4 < h < 8

y = 60, if 8 < h

Barbara uses it for 3 hours, so we only need to use the first part for her, so she needs to pay $26.

Then the brother uses it for 4 hours (and we need to add the 3 hours that Barbara used it, so we have h = 7).

Then for the 7 hours the two brothers need to pay:

y = $26 + $5*(7 - 4) = $41

If we subtract the part that Barbara needs to pay we get.

$41 - $26 = $15

This means that the correct option is $15.

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Answer:

4 plants

Step-by-step explanation:

convert the capacity of the watering can to millimeters

1L = 1000 milliliters

1 x 1000 = 1000 millimeters

Plants that can be watered = capacity of the watering can / amount of water a plant needs

1000 / 250 = 4 plants

Therefore, we lack adequate data to draw the conclusion that population means differ.

A result of a statistical test of a hypothesis is a number known as the test statistic. It displays how closely the distribution predicted by your observed data fit the null hypothesis of that statistical test.

Here,

First hypothesis : \(H_{0}\) :  u1 - u2 =  0

Alternate hypothesis  : \(H_{A}\):  u1 - u2 ≠ 0

for 0.1 level with two tail test , critical z = 1.645

Rule of Decision: \(H_{0}\)  Reject  if the test statistic's absolute value is |z|>1.645

California   , New York

x1            = 64510.00 x2            = 62900.00

n1           = 45                 n2            =                 45

σ1           = 8200.00 σ2           = 7800.00

std error σx1-x2=√(σ21/n1+σ22/n2)=\(\sqrt{(8200^2/45+7800^2/45) }\)= 1687.0750

test stat z =(x1-x2-Δo)/σx1-x2    =(64510-62900)/1687.0750 = 0.95

We cannot reject the null hypothesis because the test statistic does not fall into the rejection zone.

Therefore, we lack adequate data to draw the conclusion that population means differ.

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Answer:

D

Step-by-step explanation:

Answer:

50 cups of water

Step-by-step explanation:

If there is 30 cups of lemin juice, you would divide it by 6 cups to see how many portions there are. There are 5 portions of it, so you would multiply the 10 cups of water by 5 and then 6 cups of lemon juice by 5.

30 cups of lemon juice and 50 cup of water is what you would get

To understand how the first 21 (on the left side of the triangle) is calculated using the combination pattern, we first need to understand what the combination pattern is.
In the case of the triangle, each number in the triangle represents the number of ways that a certain combination of objects can be selected from a larger set. To calculate each number in the triangle, we use the combination formula, which is:
nCr = n! / r!(n-r)!
where n is the total number of objects, r is the number of objects being selected, and ! represents the factorial operation (i.e. multiplying all positive integers up to a certain number).
To calculate the value of 21, we use the combination formula with n = 6 (since there are 6 rows in the triangle) and r = 2 (since we are selecting 2 objects):
6C2 = 6! / 2!(6-2)! = 15
21 = 10 + 15
This gives us the total number of combinations of 2 objects that can be selected from a set of 7 objects, which is 21.
C(n, k) = n! / (k!(n-k)!)0)
Position: 2 (counting from the leftmost position, which is 0)
Therefore, we have n = 6 and k = 2.
Now, we can use the formula to calculate the combination:
C(6, 2) = 6! / (2!(6-2)!)
= 720 / (2! * 4!)
= 720 / (2 * 24)
= 720 / 48
= 15

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Answer:

24 of 18 is 75%

60 of 48 is 80%

1.052 is 105.2%

Step-by-step explanation:

Heidi has made 13.75 liters of cleaning liquid by using 10 liters of water and the appropriate amount of concentrate.

To dilute the cleaning product, we need to add 75 cl of concentrate to 2 l of water. Let's convert 75 cl to liters:
75 cl = 0.75 liters
So, to make the cleaning liquid, we need to add 0.75 liters of concentrate to 2 liters of water. This gives us a total of 2.75 liters of cleaning liquid.
However, Heidi uses 10 liters of water instead of 2 liters. To find out how much cleaning liquid she has made, we need to adjust our calculations accordingly.
We know that for every 2 liters of water, we need to add 0.75 liters of concentrate. So, for 10 liters of water, we would need:
(10/2) x 0.75 = 3.75 liters of concentrate
Therefore, Heidi has made a total of:
10 + 3.75 = 13.75 liters of cleaning liquid

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In the given scenario, angle DBC is 51 degrees, and line segment BD is a diameter of circle E. Circle E is inscribed within triangle BCD, where BD is also a diameter.

Line segments DC and CB are secants. We need to determine the measure of arc BC.

Since line segment BD is a diameter, angle BDC is a right angle, measuring 90 degrees. We are given that angle DBC is 51 degrees. In a circle, an inscribed angle is equal to half the measure of its intercepted arc.

Therefore, the measure of arc BC can be calculated as follows:

Arc BC = 2 * angle DBC = 2 * 51 degrees = 102 degrees.

Hence, the measure of arc BC is 102 degrees.

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