For a $200,000 mortgage, with an interest rate of 4% paid over 20 years, the monthly payment is $1,211.96. After one month, what is the balance of the loan? Give your answer to the nearest dollar.

Answer:

$1950.74

Step-by-step explanation:

step 1

x(1 + 0.06/12)^5=2000

step 2

x= 2000/(1 + 0.06/12)^5

= 1950.741337

Answer: 500

Step-by-step explanation:

formula for interest is

I= Principle x Rate x Time

2% as a decimal is 0.02

Answer:

ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.

Step-by-step explanation:

A dozen of eggs consists of 12 eggs.

two third of a dozen is 8.

one third of a dozen consists of 4 eggs.

A dozen represents the group of 12 of anything.

Thus, a dozen of eggs has 12 eggs.

2/3 rd of a dozen eggs is

= 2/3 x 12

2 x 4

= 8

2/3 rd of a dozen eggs consists of 8 eggs;

1/3rd of a dozen is

= 1/3 x 12

= 1 x 4

= 4

Thus, there are 4 eggs in one third of a dozen.

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The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer:

2,3

Step-by-step explanation:

They are the closest angles to 4.

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

6 3/4

Step-by-step explanation:

Answer: 7y = 38.11111111111   2y = 10.8888888889 the sum of these two equals to 49 so 11-49=-38 Hopefully you understood. But I didn't know what you wanted to know from this?

Step-by-step explanation: 11-(7y+2y)=-38

7y+2y=9y (basic math)

11-9y=-38  then you want to move -38 to the other side, and when you move it to the other side it changes its value then from -38 it becomes 38. Same for the -9y, we move it to the other side and it changes its value so now from -9y its 9y. So now are equation should look like this 11+38=9y.   11+38=49 => y=49÷9   y=5.44444444444   (49÷9) x 7 = 38.1111111111 and (49÷9) x 2 = 10.8888888889      

Answer:

a.) 1/2

b.) 1/8

c.) 5/8

d.) 1/2

Step-by-step explanation:

for A it is asking for probability of 1 and is 1/2 of the circle

for B it is asking for  probability of 3 and it is 1/2 of and 1/4 of the circle so 1/8

for C it is asking for probability of the odd numbers and there is tow odd numbers 1 and 3 the probability of 1 is 1/2 and the probability of 3 is 1/8 adding them up will give you 5/8

for d it asks for the probability of at least 2 so therefor 2, 3, and 4 and they are 1/8 + 1/8 + for 1/4 = 1/2

The equation of ellipse in standard form is:

[(2x + 18)² /8²] + [(y + 5)² /8²] = 1

The equation of the ellipse in general conic form is,

4x² + y² + 72x+10y + 285 = 0

comparing given equation with Ax^2+Bxy+Cy^2+Dx+Ey+F=0 we get,

A = 4, B = 0, C = 1, D = 72, E = 10, F = 285

Consider given equation of conic,

4x² + y² + 72x+10y + 285 = 0

4x² +72x + y² + 10y = - 285

4x² +72x + 324 + y² + 10y = - 285 + 324

(2x + 18)² + y² + 10y + 25 = - 285 + 324 + 25

(2x + 18)² + (y + 5)² = 64

(2x + 18)² + (y + 5)² = 8²

(2x + 18)² /8² + (y + 5)² /8² = 1

Therefore, the equation of ellipse in standard form is:

[(2x + 18)² /8²] + [(y + 5)² /8²] = 1

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Answer: 3628800

Step-by-step explanation: there are 10 letters so we multiply each with the other 1x2x3x4x5x6x7x8x9x10 or 10! to know all possible combinations so the answer will be 3628800.

Hope it helped!

Answer:

\(1,814,400\)

Step-by-step explanation:

The number of ways to arrange a word with \(d\) distinct digits is each to \(d!\). Since there are 10 letters, there are \(10!\) permutations initially formed.

However, there is one letter that is repeated, S. We need to account for that fact that switching the placement of the S's does not change the word, as they still appear the same. Therefore, divide \(10!\) by the number of ways you can arrange the 2 S's, which is simply \(2!\). Therefore, our answer is:

\(\frac{10!}{2!}=10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3=\boxed{1,814,000}\)

Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.

Answer:

The width of the rectangle = 1.15 inches

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle = \(\frac{1}{2} inch\)

The area of the rectangle = \(\frac{2.3}{4}\) inch²

We have to find the width of the rectangle

The area of the rectangle = length × width

                                  \(\frac{2.3}{4} = \frac{1}{2} X width\)

                    ⇒     2 × 2.3 = 4× width

                   ⇒      4.6 = 4 w

                  ⇒      w = 1.15 inches

Final answer:-

The width of the rectangle = 1.15 inches

Answer:

The scale factor is 2.2

Step-by-step explanation:

To find the scale factor, you look at the length of any two sides that correspond to each other. For example, in the diagram we can see that the side with the length of 4 on the smaller pentagon corresponds to the side with the length of 8.8 on the larger pentagon.

To find the scale factor, you divide the length of the side of the larger pentagon, by the length of the side of the smaller pentagon.

\(\frac{8.8}{4} = 2.2\)

The scale factor is 2.2

Hope this helps!

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

north wind traders,fifth cofffe, margies coffe

Step-by-step explanation:

anwsers from khan.

Answer:

1

Step-by-step explanation:

Divide 53 by 4

You get 13.25 which means each kid will receive 13 balloons.

Now take .25 and multiply by 4. You get 1! There will be one balloon left over.

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

1/10​b

Step-by-step explanation:

subtract 1/2 and 2/5 and you get then answer just add the b at the end of your answer.

Hope this helps! :)

Tthe triangle that is a reflection of the green triangle is figure 1

From the question, we have the following parameters that can be used in our computation:

The figures

Where, we have:

This means that the triangle that is a reflection of the green triangle is figure 1

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Answer:

it would be 1 5/18

Step-by-step explanation:

Answer:

There are 48 cups in 3 gallons!

Hope this helped! :)

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

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The probability of selecting five balls with numbers divisible by 3 or 7 is approximately 0.0251.

To find the probability of selecting five balls with numbers divisible by 3 or 7, follow these steps:

Determine the total number of ping pong balls.

There are 134 - 57 + 1 = 78 ping pong balls in total.

Find the number of balls that are divisible by 3 or 7.

There are 26 numbers divisible by 3 (from 57 to 134), and 11 numbers divisible by 7 (from 57 to 134). However, there are

3 numbers divisible by both 3 and 7, so there are 26 + 11 - 3 = 34 balls that are divisible by either 3 or 7.

Calculate the probability of selecting one ball that is divisible by 3 or 7.

The probability of selecting one ball that is divisible by 3 or 7 is 34/78.

Calculate the probability of selecting five balls that are all divisible by 3 or 7.

Since we are selecting five balls, the probability would be

(34/78) × (33/77) × (32/76) × (31/75) × (30/74) = 0.02512

(rounded to five decimal places). Round the final answer to four decimal places.

The probability of selecting five balls with numbers divisible by 3 or 7 is approximately 0.0251.

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Answer:

The range will remain the same, and the sign of the domain(positive/negative) will switch.

Explanation:

(-x,y)