What will a $210,000 house cost 10 years from now if the inflation rate over that period averages
%3 compounded annually? $282, 222.44

Answer:

It literally means either find out what the fractions divided by each other would be or find the answer to the fraction.

Ex: 5/10 divided by 1/2= 1

Ex: 5/10 is equal to 0.5

Step-by-step explanation:

Answer: means either find out what the fractions divided by each other would be or find the answer to the fraction.

Step-by-step explanation:

Answer:

.6

.2

Step-by-step explanation:

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Answer:

what is the problem? ummmmmmmmmmmmmmn weird

Step-by-step explanation:

I can't see it thats why

Answer: \(\Large\boxed{20 < h < 80}\)

Step-by-step explanation:

Given inequality

\(|h-50| < 30\)

The goal of the question

To find the minimum and maximum of the relative humidities

For this question, we need to solve the inequality

Simplify the absolute value sign

\(h-50 < 30\)          or          \(h-50 > -30\)

Add 50 on both sides

\(h-50+50 < 30+50\)          or          \(h-50+50 > -30+50\)

       \(\Large\boxed{h < 80}\)                   or                    \(\Large\boxed{h > 20}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Given

\(x=1-sin(a)\\y=1+cos(a)\)

Solve for \(a\) in the second equation.

\(y=1+cos(a)\)

\(y-1=cos(a)\)

\(a=cos^{-1}( y-1)\)

Insert our answer for \(a\) into the first equation.

\(x=1-sin(a)\)

\(x=1-sin(cos^{-1}( y-1))\)

\(cos^{-1}=arccos\)

\(x=1-sin(arccos( y-1))\)

Lets simplify \(1-sin(arccos( y-1))\)

A piece of graph paper would be helpful in my opinion.

Here is how I would go about doing so

Draw a triangle in the plane with vertices \((y-1,\sqrt{1^2-(y-1)^2}),(y-1,0)\) and the origin.

\(arccos(y-1)\) is is the angle between the positive x-axis and the ray beginning at the origin and passing through \((y-1,\sqrt{1^2-(y-1)^2})\). Therefore \(sin(arccos(y-1))\) is \(\sqrt{1-(y-1)^2}\)

Now we have

\(x-1-\sqrt{1-(y-1)^2}\\a=arccos(y-1)\)

We can write \(1\) as \(1^2\). Since both terms are now perfect squares, we can factor using the difference of squares formula.

\(a^2-b^2=(a+b)(a-b)\) where \(a=1\) and \(b=y-1\)

\(x=1-\sqrt{(1+y-1)(1-(y-1))}\)

After simplifying we get

\(x=-\sqrt{y(-y+2)}+1\)

\(x=-\sqrt{y(-y+2)}+1\)

\(a=arccos(y-1)\)

I think this is what your question was. If not let me know.

The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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Answer:

28 tickets were purchased

Step-by-step explanation:

364 divided by 13 = 28

Answer:

i hope this helpes

Step-by-step explanation:

a) A group of 16 pays $40 + ($2 x (16 - 10)) = $40 + $6 = $46.

b) The cost function can be represented as C(x) = 40 + 2(x - 10) for x > 10 and C(x) = 40 for x <= 10, where x is the number of people in the group and C(x) is the cost for the group.

c) The domain of the cost function is all non-negative real numbers less than or equal to 50 (0 <= x <= 50), since the maximum group size is 50. The range of the cost function is all non-negative real numbers greater than or equal to 40 (C(x) >= 40), since the minimum charge for a group is $40.

Answer:

a) $52

b) C(x) = 40 + 2x, if x > 10 and x ≤ 50

C(x) = 40, if x ≤ 10

c) Domain = {x ≥ 1 and x ≤ 50}

Range = { from 40 to 140}

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

Naomi is smaller

Step-by-step explanation:

Hope I could help!

God bless you.Have a great day!!

a. Using the ratio of the sides 12 cm and 16 cm

x/20 = 12/16

x = (12(20)) / 16 = 15

b. Using the ratio of the sides 6 cm and 8 cm

x/20 = 6/8

x = (6(20)) / 8 = 15

c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.

Hope this answer will be a good help for you.

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

{ -4,-2,0,2,4}

Step-by-step explanation:

The range of the inverse is the domain of the function

The domain of the function is the x values

Domain{ -4,-2,0,2,4}

This is also the range  of the inverse

Answer:

{ -4,-2,0,2,4}

Step-by-step explanation:

It is the range of inverse function

Answer:

a) 25 in.

b) 13 in.

c) 4 in.

d) 61 in.

e) 30 weeks

Step-by-step explanation:

For a, b, c, and d, the equation to use is y = 3x + 4 and just plug in the given values for x (weeks) to receive y (inches of vine)

for e, use the same equation, but plug in 94 for y...

94 = 3x + 4    →   3x = 90    →    x = 30

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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Answer:

angle B = 78.46°

Step-by-step explanation:

Use the cosine ratio

\(cosB=\frac{2}{10} =0.2\)

\(B=cos^{-1} (0.2)=78.46^{0}\)

Hope this helps

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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Answer:

Melany jogged 12 miles and Zariana jogged 6 miles.

Step-by-step explanation:

18-12=6

12-6=6

I think that is the answer! GL!!

Answer: 3/8

Step-by-step explanation:

1/2 is also 4/8 so you subtract 4/8 from 7/8 to get 3/8

After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer: 7 and 3

Step-by-step explanation: 7+3= 10 and 7-3=4

The coordinates of the image of triangle △TUX after dilation with center at (0,0) and scale factor 4, then applying the transformation (x, y) ⟶ (x − 3, y + 1) are T''(25, 25), U''(-35, 13), and X''(5, 5).

Dilation with center refers to a transformation that involves scaling a geometric shape around a fixed center point. The center of dilation is the fixed point around which the shape is being scaled.

Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes in a coordinate plane. It combines the principles of geometry and algebra, where geometric shapes can be represented using algebraic equations and coordinates.In coordinate geometry, points are located in a two-dimensional plane using a system of Cartesian coordinates, which consists of an x-axis and a y-axis perpendicular to each other.

In the given question,

To find the coordinates of the image of triangle △TUX after dilation with center at (0,0) and scale factor 4, we first need to find the coordinates of the image of each point after the dilation.

The image of a point (x, y) after dilation with center at (0,0) and scale factor 4 can be found by multiplying its coordinates by 4. So:

The image of T(-7, -6) is T'(-74, -64) = (28, 24).

The image of U(-8, 3) is U'(-84, 34) = (-32, 12).

The image of X(2, 1) is X'(24, 14) = (8, 4).

Next, we apply the transformation (x, y) ⟶ (x − 3, y + 1) to find the coordinates of the final image of the triangle.

The image of T' is T'' = (T'x - 3, T'y + 1) = (28 - 3, 24 + 1) = (25, 25).

The image of U' is U'' = (U'x - 3, U'y + 1) = (-32 - 3, 12 + 1) = (-35, 13).

The image of X' is X'' = (X'x - 3, X'y + 1) = (8 - 3, 4 + 1) = (5, 5).

Therefore, the coordinates of the image of triangle △TUX after dilation with center at (0,0) and scale factor 4, then applying the transformation (x, y) ⟶ (x − 3, y + 1) are T''(25, 25), U''(-35, 13), and X''(5, 5).

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You should use cloudy Sunrise because the overall cost of the cloudy sunrise color seems to be less expensive than the total cost of light at dawn color.

Light-at-Dawn: A 1-gallon bottle ordinarily costs $24, but it is presently 25% off that price. This paint requires two coats.

A gallon of Cloudy Sunrise costs $28. This type of paint just requires one coat.

Each gallon will cover 350 square feet at a time.

The price of 1 gallon of light at dawn = 24 - 25/100(24) = 18

One gallon of cloudy sunrise color costs $28.

It seems cloudy. Sunrise color is more costly before accounting for the number of square feet that each color may cover.

Both cans are supposed to cover 350 square feet.

If everything else remains constant,

Dawn color lighting would cost:

⇒ 18 / 350 = 0.0514285714, per square foot.

However, the light at dawn color needs two coats.

The total cost per square foot for the light at-dawn color would be

⇒ 2×0.0514285714 = 0.1028571429.

A cloudy sunrise costs 28/350 = 0.08 per square foot.

Because overcast dawn only requires one coat, this is the total cost per square foot.

If the second coat of paint uses the same amount of paint as the first, the overall cost of the cloudy sunrise color seems to be less expensive than the total cost of light at dawn color.

As a result, cloudy Sunrise should be used.

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Answer: 11.8

Step-by-step explanation:

59 divided by 5 equals 11.8