Sandy is buying a $107,500 house with a 15 year mortgage at 3.5% interest. Her monthly payment is $768.50. What is her total payback and how much of that is interest? Assume only the minimum payment is made.

Answer:

y = -0.25x + 4.5

Step-by-step explanation:

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The length of KL in the parallelogram is 8.

A parallelogram is a quadrilateral with opposite sides equal to each other.

Opposite sides of a parallelogram are parallel to each other.

Opposite angles are equal.

Adjacent angles add up to 180 degrees.

Hence,

KL= JM

KL = 5n + 7

JM = 4n + 15

Therefore,

5n + 7 = 4n + 15

5n - 4n = 15 - 7

Therefore,

n = 8

Hence,

KL = 5n + 7 = 5(8) + 7 = 40 + 7 = 47°

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Answer:

(3,3)

Step-by-step explanation:

Linear equations of lines are given in the form:

y = mx + b;

where m is the slope of the line, b is the y intercept and x, y are variables.

From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).

The equation of line 1 is given as:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)\)

The equation of line 2 is given as:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)\)

Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:

(5/3)x - 5 = 0

(5/3)x = 5

x = 3

Put x = 3 in equation 1:

y = -3 + 6 = 3

Therefore the two lines meet at (3, 3).

Answer:

y = 5.2, x = 6

Step-by-step explanation:

to find y:

opposite/adjacent = tan(60)

y/3 = tan(60)

y = tan(60) * 3

y = 5.2

to find x:

adjacent/ hypotenuse = cos(60)

3/x = cos(60)

x = 3/cos(60)

x = 6

Answer:

whatt????/

Step-by-step explanation:

Answer:

It is not valid because some peoples birthday may be late so they will be 12 in 8th grade or some peoples birthday are early so they will be 14 in 8th grade.

Step-by-step explanation:

Answer:

114 square meters

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

X is 4

Step-by-step explanation:

Answer:

X is 4 !

Step-by-step explanation:

fu9gouggpuf7f97g9g

Answer:

1.4

Step-by-step explanation:

when we add -1.4 and 1.4 we get zero so its the opposite

The following is the most appropriate method for the biologist to use to analyse the results:

"A two-sample z-interval for a difference in population proportions "

What is proportion?

A proportion is a mathematical formula that makes two ratios equal. For instance, you could write the ratio as 1: 3, which indicates that there are 34 girls and 14 boys in the population overall. This ratio indicates that there are three girls for every one boy.

A biologist is comparing how many rainbow trout from two different watersheds are affected by whirling disease, a salmon and trout illness brought on by a microscopic parasite.

A random sample of trout will be taken by the biologist, who will then note the percentage of infected fish in the sample. For all trout in the two watersheds, the biologist plans to estimate the difference.

According to the posed question, the two-sample z-interval for a difference in population proportions will be the most suitable method for the biologist.

Because it's important for biologists to compare the percentages of rainbow trout with whirling disease and determine how the populations of these fish in two watersheds differ.

As a result, the correct answer is Statement D, "A two-sample z-interval for a difference in population proportions."

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Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

\(2w^2-2w+32=(w-5)(w-5)\)

\(2w^2-2w+32=w^2-10w+25\)

Subtract \(w^2\) from each side:

\(w^2-2w+32=-10w+25\)

Add \(10w\) to each side:

\(w^2+8w+32=25\)

Subtract 25 from each side:

\(w^2+8w+7=0\)

Factor:

\((w+1)(w+7)\) =0

Answer:

It is algebra

Step-by-step explanation:

do you want the answer?

The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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Answer:

19cm

Step-by-step explanation:

(chose one way)

1. way using commutativity

(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm

2. way just writing

3cm+4cm+10cm+2cm=19cm

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

Answer:

The correct option is 345.4 :)

Using the midpoint formula we will see that the coordinates of B are (-9, 1)

We know that for two points (x, y) and (a, b) the midpoint is at:

( (x  + a)/2,  (y + b)/2)

In this case if the coordinates of B are (x, y), we can write the equation:

(-2, 4) = ( (x + 5)/2, (7 + y)/2)

We can solve these two equations to find the coordinates of point B, we will get:

(x + 5)/2 = -2

x + 5 = -4

x = -4 - 5 = -9

And:

(7 + y)/2 = 4

7 + y = 4*2 = 8

y = 8 - 7 = 1

The coordinates of B are (-9, 1)

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Answer:

D) y = 12

Step-by-step explanation:

One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:

\(\frac{a_1}{b}=\frac{a_2}{c}\)

Where (\(a_1\)) and (\(a_2\)) are a part of the side that is intersected by the angle bisector and (\(b\)) and (\(c\)) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.

\(\frac{4}{8}=\frac{6}{y}\)

Simplify,

\(\frac{1}{2}=\frac{6}{y}\)

Cross products,

\(12=y\)

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

The annual interest rate is, 2%.

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

John loaned $1,612 to his niece to buy a computer. 2 years later, she paid him back the $1,612 along with an interest of $64.48.

Now, Let the annual interest rate = x

Then, we can formulate;

Simple interest = PRT / 100

Substitute all the given values,

$64.48 = 1612 × R × 2 / 100

6448 = 3224 × R

R = 6448 / 3224

R = 2

Hence, The annual interest rate is, 2%.

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The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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Answer:

\(\frac{7}{2\sqrt{2} }\)

Step-by-step explanation:

substitute 2 in for x. the square root of 2 is already in radical form

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

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Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Step-by-step explanation:

Based on the information, we can infer that the mean is 14.28, the median is 15, and there is no unique mode (several repeated values).

To calculate the measures of central tendency, we will use the data provided in the table. The pairs of shoes sold on each day are as follows: 10, 14, 15, 12, 16, 18, 16.

Mean:

The mean is calculated by adding all the values and dividing by the total number of items.

Mean = (10 + 14 + 15 + 12 + 16 + 18 + 16) / 7 = 101 / 7 = 14.28

Median:

The median is the value in the middle of an ordered data set. To calculate it, we first order the values from smallest to largest.

10, 12, 14, 15, 16, 16, 18

Since there are an odd number of values, the median is the value in the middle position, which in this case is 15. Therefore, the median is 15.

Mode:

The mode is the value that occurs most frequently in a data set. In this case, there is no value that is repeated more times than the others. The values 16 and 12 are repeated twice each, but there is no single mode. Therefore, there is no single mode in this data set.

Note: Here is the question in English:

The table shows the number of shoes sold in 1 store during a week, calculates the measures of central tendency, and perform the corresponding analysis.

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Answer:

Step-by-step explanation:

According to SOH in SOH, CAH TOA;

SOH means  sin theta = opposite/hypotenuse = 2/3

This shows that opposite = 2 and hypotenuse = 3. Before we can determine which of the expression is possible, we need to find the third side of the rigt angled triangle which is the adjacent.

According to Pythagoras theorem; hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 2²

adj² = 9 - 4

adj² = 5

adj = √5

Hence the adjacent side is √5.

From the trigonometry identity above;

cos theta = adj/hyp = √5/3 and tan theta = opp/adj = 2/√5

Since sec theta = 1/cos theta then sec theta = 1/(adj/hyp)

sec theta = hyp/adj = 3/√5

From the above calculation, the following are possible:

cos theta = √5/3, tan theta = 2/√5 and sec theta = 3/√5

The correct options are C and D

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

Answer: \(2^{5}\)

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just \(2^{5}\).

A common mistake in this problem would

be for students to say that  2³ · 2² is \(4^{5}\).

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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