I need help with this math problem ignore the lines across the other answer choices they don’t mean that the answer choices are wrong

When the interest is compounded monthly, we have to do two things:

- Calculate the number of periods: in this case we have 8*12=96 months.

- The monthly interest rate: we have to divide the annual nominal rate by 12 (the number of periods in the year).

Then, we can calculate the future value as:

The future value when compounded monthly is $3,427.30.

General formula:

m: number of subperiods (monthly --> m=12)

The value of the length and the width of the rectangle are 29.5 and 30.5 meters respectively

From the question, the statement is given as

Length and width are consecutive odd integers

Where perimeter = 120 meters

Represent the dimensions with x and y

Where Length = x and Width = y

And also, we have

y = x + 1

The perimeter of a rectangle is

Perimeter = 2 x (Length + Width)

Mathematically, this can be represented as

Perimeter = 2 x (x + y)

So, we have

2 x (x + y) = 120

Substitute y = x + 1 in 2 x (x + y) = 120

2 x (x + x + 1) = 120

This gives

2 x (2x + 1) = 120

Divide by 2

2x + 1 = 60

So, we have

2x = 59

Divide by 2

x = 29.5

Substitute x = 29.5 in y = x + 1

So, we have

y = 29.5 + 1

Evaluate

y = 30.5

Hence, the length and the width are 29.5 and 30.5

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Answer:

  0.339 m/min

Step-by-step explanation:

You want to know the rate of change of the third side in a triangle with sides 10 m and 14 m and an angle between them of 60°. The angle is increasing at 2°/min.

The law of cosines tells you the third side (c) satisfies the relation ...

  c² = a² +b² -2ab·cos(C)

Filling in the given values, we have ...

  c² = 10² +14² -2(10)(14)cos(C) = 296 -280cos(C)

Taking the square root and differentiating with respect to time, we have ...

  c = √(296 -280cos(C))

  c' = 280sin(C)·C'/(2√(296 -280cos(C)))

We want the value of this when C=60°, and C' = 2°/min = π/90 rad/min.

  c' = 280(sin(60°))·(π/90)/(2√(296 -280cos(60°))) = (14π√3/9)/(2√156)

  c' ≈ 0.339 . . . . m/min

The third side is increasing at a rate of about 0.339 meters per minute.

Given:

Two given points are,

THe objective is to find the value of slope, (m).

The formula to find the slope is,

Now, substitute the given values in the above slope formula.

Hence, the slope of the line is 3.

Answer:

Right scalene

All the equations of the family:

y = (-2/3)*x + c

Where c is a real number, are perpendicular to the linear equation 3x - 2y = 10

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Now, two linear equations are only perpendicular if the slope of one is equal to the inverse of the opposite of the other line's slope.

So, a line perpendicular to y = m*x + b is of the form:

y = (-1/m)*x + c

In this case, the given line is:

3x - 2y = 10

Writing this in slope-intercept form we get:

-2y = 10 - 3x

y = (10 - 3x)/-2

y = (3/2)*x - 5

So the slope of a perpendicular line will be: (-2/3)

Then any line of the form:

y = (-2/3)*x + c

Is perpendicular to the given line.

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The reflection across the y axis the x value changes sign but the y value remain the same.

The answer is C

Answer: Perpendicular

Step-by-step explanation:

Given are two equations as

We have to find whether these two are parallel or perpendicular or neither

For this first we have to find the slope of these two lines

I line slope = 1

II line slope =-1

Since slopes are not equal, the lines are not parallel.

Let us check product of these slopes.  IF product =-1 the lines are perpendicular

We find that product =

Hence two lines are perpendicular

We just need to multiply the fractions

Then, 11/15 of the class rated Mrs. Santiago as an excellent teacher

The linear equation y = -500x + 5000 that models the price-sales.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Two points for $6, 2000 sales/day and $8, 1000 sales/day which is given in the question.

The slope varies in y as x changes.

m = (2000-1000 )/(6-8) = -500

The equation of a line with slope m is:

⇒ y = -500x+ b

Solve for b using one of the points (y-intercept)

2000 = -500(6)+b

5000 = b

The other point will provide the same result. To find b, you simply need one point (either one).

The linear relationship is:

y = -500x + 5000

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Answer:

it would be A.

Step-by-step explanation:

Why? well, if you divide 33/the total number of cream cheese blocks (3) you get 11. so for every 11 cheesecakes made, one cream cheese block is used. :)

Answer:

1200

Step-by-step explanation:

First , we need to calculate the new volume using the dimensions given.

V=L×W×H

L=3meters

W=2meters

H=20Centimeters

H=(20/100)meters=0.2 meters

V=3×2×0.2=1.2m³

using simple proportions

if 1m³=1000kg

then. 1.2m³=Y

Y=(1.2m³×1000kg)/1m3

Y=1200kg

a)  slope of the line based on the context is 14.75

b)  y-intercept of the line based on the context is 861.82

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given equation:

y = 14.75x+861.82

Now, using the general form

y= mx+ c

Now, comparing it with the given equation

m=14.75

and c= 861.82

a)  slope of the line based on the context is 14.75

b) y-intercept of the line based on the context is 861.82

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Answer:

20

Step-by-step explanation:

4 x 2 x 1 = 8

8 divide by 0.4 = 20

A CD has a diameter of 12 cm and the diameter of the hole in the middle is 1.5 cm. So the area of the CD excluding the area of the hole will be 111.27 cm².

The area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, while the area of a plane region or plane area is the area of a form or planar lamina.

According to the question, the given values are :

Diameter of CD = 12 cm.

Radius of CD, r₁= D/2 = 6 cm

Diameter of hole = 1.5 cm.

Radius of hole, r₂ = D/2 = 0.75 cm.

Area of one side of CD, A = Area of CD - Area of hole

Area of circle = πr²

A =  π(6)² - π(0.75)²

A = 36π - 0.5625π

A = 35.437π cm².

The area of CD will be, A = 35.437 × 3.14 = 111.27 cm².

Hence, the area of one side of the CD will be 111.27 cm².

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Answer:

Explanation:

a) increase 100 by 5%

b) increase your result form (a)by 5%

c) The overall percent increase of the number 100;

It is not 10% because the second 5% increase was not on the initial number 100.

increasing 105 by 5% is more than increasing 100 by 5%.

Therefore, increasing 100 by 5% followed by increasing the result by 5% is greater than increasing 100 by 10%.

To find the area of the figure you can find the area of the figures that make it up and then add these areas, in other words

Where

The formula to find the area of a rectangle is

So, you have

Finally, adding the areas you have

Therefore, the area of the figure is 15 square milimeters.

Cuando expresas un valor decimal en fracciones lo haces utilizando al 10 como denominador de la misma, entonces

1 décimo en fracciones es:

3 décimas corresponde entonces a

Al expresar estos valores utilizando cifras, el denominador 10 de la fracción indica que el numerador se encuentra en el primer lugar detrás de la coma decimal, entonces

y

Al organizar estos valores tienes que tener en cuanta la posición decimal en la que se encuentran. Si ambos se encuentran en la misma posición, entonces no debes tomar ninguna consideración y puedes ordenarlos siguiendo la mísma lógica que cuando ordenas números enteros.

Es decir, si al ordenar los enteros obtienes que:

0, 1, 2, 3

Cuando los divides por diez, simplemente corres la coma un lugar a la izquierda pero no cambias el orden de los valores, entonces:

0.0, 0.1, 0.2, 0.3

Dónde puedes ver que 0.1 es más cercano a 0 que 0.3, en otras palabras, 0.1 (una décima) es menor que 0.3 (tres décimas)

2 + (1/6) y = 3x + 4

Take the 2 from left to right side: (1/6)y = 3x + 4 - 2 = 3x + 2

y/6 = 3x + 2

Take the 6 dividing on the left to the righ side multiplying:

y = 6 (3x + 2) = 18x + 12

Answer:

y = 18x + 12

Answer:

3 to 1.

Step-by-step explanation:

3:1 is a ratio, which is comparing 2 different things.

the formula is

For $10,

So when, x=6.3, y=$10,

Given:

Amount in the account after 29 years is $182696.80

For the first equation:

x^2 - 25 = 0...... x^2 = 25..... x = sqrt(25)..... x = 5 and x = -5.... so it has two solutions: 5 and -5

For the second euation:

(x - 2)^2 = 0.... the solution is x = 2 because when x = 2, (2 - 2)^2 = 0 ^ 2 = 0

So it only has one solution: 2

For the third equation:

(x - 3)^2 = 81.... x - 3 = sqrt(81) = -9 and +9

x - 3 = -9... x = -6

x - 3 = 9... x = 12

so it has two solutions: -6 and 12

Tony can still go further go and write 144 as the product of whole numbers greater than one in the following way -

2 x 2 x 2 x 2 x 3 x 3

Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.

Given is tony, who wants to write large numbers as the product of as many whole numbers greater than 1 as possible. So, he writes 144 as

2 x 72 but he sees he can go further and writes it as 2 x 2 x 36.

Yes we can still go further and write 144 as the product of whole numbers greater than 1. We have -

144 = 2 x 72 = 2 x 2 x 36 = 2 x 2 x 2 x 18 = 2 x 2 x 2 x 2 x 9 =  

2 x 2 x 2 x 2 x 3 x 3

Now, he cannot go on further to express 144 as the product of whole number greater than 1. The last digit 3 is a prime number and is divided by either 1 or itself. So, if the last digit in the product expansion is a prime number, than we cannot break it further into smaller whole numbers.

Therefore, tony can still go further go and write 144 as the product of whole numbers greater than one in the following way -

2 x 2 x 2 x 2 x 3 x 3

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Class: 1,2,3,3,4,4,4,4,5,3

First, order from lowest to highest

1,2,3,3,3,4,4,4,4,5

Median = (1,2,3,3) 3, 4,(,4,4,4,5) = (3+4)/2 = 3.5

Find the median of the first and last half:

Q1 = 1,2,3,3,3.5 = 3

Q3 = 3.5,4,4,4,5 = 4

Then for the interquartile: Q3- Q1 = 4 -3 = 1

Explanation

Let the sales be represented by x

Since the person earns 6.5% of the sales, this becomes;

Recall that at least implies greater than or equal to in inequality. Therefore, the equation becomes;

We will then solve for x

Answer: $28461.5385

You can identify that the triangle ACD is divided into two different triangles. These triangles are ABD and BCD.

Notice that the triangle BCD has two congruent sides. Therefore, it is an Isosceles triangle.

The triangle ABD has three congruent sides. This means that it is an Equilateral triangle. The measure of each interior angle of and Equilateral triangle is:

Therefore, you can determine that:

Let's assume that ABD is a Right triangle. Then:

Since the other triangle C has twol equal angles:

Therefore:

The answer is:

We have a random discrete variable X, that takes values 1, 2 and 3.

As the probabilities of all the sample space is equal to 1.

So then we can define x in function of y:

We can start by calculating the mean of X as:

We can write the variance of X as:

As the variance, σ², is equal to 0.29, then we can find the possible values for x as:

We can find the roots of this equation as:

The value of x = -0.5, as it is a probability, has to have a value of between 0 and 1, is not valid.

Then, the only valid value for x is x = 0.7.

We then can calculate y as:

Answer: x = 0.7 and y = 0.1

We can solve both limits by using Riemann sums, which is represented by the following:

Then, for our function: