4/21 as a decimal rounded to the nearest tenth

Answer

In order to complete the equation we need to use this method :      

Future Amount = I(1+r)^t

I=Initial Amount

R=Growth rate

T=Time periods

Now that we know that....

Time for some fun :)

You started with $2,000 so

Future Amount = 2,000(1+r)^t

The growth rate is 26% so we have to convert to decimal so

Future Amount=2,000(1+.26)^t

Time period is 26% every 3 years and you want to see how much money would you have after 45 years so you do 45/3=15

Future Amount=55(1+.73)^15

Hope this helps!!!!!!!

Step-by-step explanation:

Answer:

Investments increase exponentially by about 26% every 3 years. If you made a $2,000 investment, how much money would you have after 45 years?

Mariah I'm afraid you made a little mistake lol....

Future Amount=2,000(1+0.26)^15

But yes the answer is:

64,060

Step-by-step explanation:

john could be right now 45

What is word problem in math?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."

According to the question:

And

Solution for the above equation:

                                               \(x=y-30, y=3 x \quad\\ \quad x=15, y=45\)

steps:

                                                \(x=y-30 \\y=3 x\)

Substitute :\($y=3 x$\)

                                               \([x=3 x-30]\)

                                   \(for $$x=3 x-30: \quad x=15\)

For \($y=3 x$\)

Substitute: \($x=15$\)

                                               \(y=3 \cdot 15\)

Simplify:

                                               \(y=45\)

The solutions to the system of equations are: \($x=15, y=45$\)

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Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.

(a) which variable is independent and which variable is dependent in this scenario?

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks  

Answer:

Step-by-step explanation:

From the given information:

(a) which variable is independent and which variable is dependent in this scenario?

An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.

A dependent variable is a variable where on variable is dependent on the other variable.

From the question given;

time (t) in minutes is the independent variable

Distance D from home is the dependent variable

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      

We are being told that Evin starts 38 blocks from home,

Then she is just starting, i.e from rest

Then; at time t = 0 , she is 38 block distance from home

However, if she walks 2 blocks each minute,

then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.

If she walks for 5  minutes,

then she will be (38 - 2(5) ) blocks away from home

= 38 - 10

= 28 blocks away from home

If she walks for 10 minutes,

then she will be (38 -2(10)blocks away from home

= 38 - 20

= 18 blocks away from home.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      38              36         28        18

By Side-angle-side (SAS) triangle congruence theorem ΔPQR ≅ ΔTSQ .

What is a triangle ?

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

It is given that :

Q is the midpoint of PT that is :

side PQ is equals to QT      

Now,

Statement : ∠PRQ = ∠QST  because, ∠PRQ = ∠QST = 90° (definition for right angle triangle.

PQ = QT , Since Q is the midpoint of PT

ΔPQR ≅ ΔTSQ :

Side-angle-side (SAS) triangle congruence theorem the Side-angle-side triangle congruence theorem states that if two sides and an included angle of one triangle is equal to two sides and an included angle of another triangle, then the two triangles are congruent. PQ=QT, PR = ST and ∠PRQ =∠QST.

Hence proved.

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Answer:

1

Step-by-step explanation:

Answer:

From -10 to 10 there are 20 numbers.

Step-by-step explanation:

When you are trying to determine this kind of question, you start counting backward from -10. So it would be -10, -9, -8, -6, -5, -4, -3, -2, -1, and 0. When you get to 0, you start counting forward. So it would be 1, 2, 3, 4, 5, 6, 7,8,9, and 10. So when you count all of them together that would give you the number 20.

y = sqrt(x^2 + 1)  is the Cartesian equation of the curve.

The direction of the arrow indicating the trace of the curve would be to the right.

To eliminate the parameter, we can solve for t in terms of either x or y using the identities:

cosh^2(t) - sinh^2(t) = 1

or

cosh(t)^2 = sinh(t)^2 + 1

Since x = sinh(t), we can solve for t as:

t = sinh^(-1)(x)

Substituting into y = cosh(t), we get:

y = cosh(sinh^(-1)(x))

Using the identity above, we can simplify this to:

y = sqrt(x^2 + 1)

This is the Cartesian equation of the curve.

To sketch the curve, we can plot points using various values of x and y. The curve is a hyperbola that opens upwards and downwards, with the vertex at (0,1) and asymptotes given by y = x and y = -x. As the parameter t increases, the curve moves to the right. Therefore, the direction of the arrow indicating the trace of the curve would be to the right.

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The first year in which the population of country B will be greater than that of country A is the year 2000 + 18, which is 2018.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

We can find the year in which the population of country B will be greater than that of country A by setting their population functions equal to each other and solving for t:

M(t) > P(t)

35\(e^{(0.042t) }\) > 40\(e^{(0.027t)}\)

Dividing both sides by 35e^(0.042t), we get:

\(e^{(-0.015t)}\) >  40/35

Taking the natural logarithm of both sides, we get:

-0.015t > ln(40/35)

Simplifying, we get:

t < (1/0.015) ln(40/35)

t < 18.22

So, the population of country B will be greater than that of country A in less than 18.22 years after 2000.

Therefore, the first year in which the population of country B will be greater than that of country A is the year 2000 + 18, which is 2018.

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The value of x in the figure is 5

From the figure, we have the following parameters are:

NM = 9

ML = 2x - 7

NL = x + 7

This means that

NL = NM + ML

So, we have:

x + 7 = 9 + 2x - 7

Collect the like terns

x - 2x = 9 - 7 - 7

Evaluate

-x = -5

This gives

x = 5

Hence, the value of x in the figure is 5

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As per the mentioned informations, the cash paid for rent during 2014 is calculated to be  $395,000. So, the correct  answer is option (C) i.e. $395,000.

To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:

Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period

Substituting the values given in the problem, we get:

Cash paid for rent = $420,000 + $70,000 - $95,000

Cash paid for rent = $395,000

Therefore, it can be concluded that the correct answer is (C) $395,000.

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Answer:

9 and 10

Step-by-step explanation:

We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!

Each piece of room or house length and width should be inverted to be scaled. For instance, a rectangle measuring 66" by 7" might be used to depict a dresser that is 5' by 2' at a scale of 14" = 1'.

A table that is 4' by 4' would also be 1" by 1" in size. [7] When measuring furniture that isn't square or rectangular, make the smallest square or rectangle the item might possibly fit and then use those dimensions. For instance, to represent a wingback chair that is 2' 6" wide and 2' deep, use a 5/8" by 1" rectangle.

Next, draw a rough outline of the chair inside the rectangle. On a piece of graph paper that is blank, draw the furnishings. Use graph paper without the room's floor plan drawn on it.

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Explanation:

The area of a circle with radius r is:

The area of a semicircle is half the area of a cricle:

This semicircle has a radius of 12in, the area is:

Answer:

The area of the semicircle is 226.2 in²

Answer:

41

Step-by-step explanation:

x=12

so y=3⋅12 +5

=36+5

=41

Answer:

because it has 7 cm a helper of right angle triangle and me can also use phythogorreas triplet formula

The given expression is

18×4(4÷393)-36+8

We would simplify by applying the correct order of operations which is known as PEDMAS where

P represents parentheses

E represents exponents

D represents division

M represents multiplication

A represents addition

S represents subtraction

Thus, we would simplify the terms in the parentheses first.

4/393

Then we would multiply 4/393 by 18 * 4. It becomes

18 * 4 * 4/393 = 288/393

The expression becomes

288/393 - 36 + 8

The next step is to add 36 and 8

36 + 8 = 44

The expression becomes

288/393 - 44

= (288 + 17292)/393

= 17580/393

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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Answer:

D. 14x - 4

Step-by-step explanation:

P = 2(L + W)

P = 2(4x + 5 + 3x - 7)

P = 2(7x - 2)

P = 14x - 4

Answer:

Step-by-step explanation:

You want the coordinates of the image of the triangle defined by A(3, 4), B(4, 2), and C(1, 2) after it has been translated by (-3, 9).

The translation amounts are added to the corresponding coordinates:

  (x, y) ⇒ (x -3, y +9)

  A(3, 4) ⇒ A'(3 -3, 4 +9) = A'(0, 13)

  B(4, 2) ⇒ B'(4 -3, 2 +9) = B'(1, 11)

  C(1, 2) ⇒ C'(1 -3, 2 +9) = C'(-2, 11)

<95141404393>

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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Answer:Linear Algebra Examples ... Linear Algebra. Solve by Substitution y=x+3 , y=2x-1 ... Eliminate the equal sides of each equation and combine. ... Subtract 1 1 from 8 8 . ... The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

this is because you subtract 4x from one side to get -3x +3= 12. then u get rid of the 3 so you subtract is and get -3x=9. therefore u get -3. (please don’t delete my answer when I take time out of my day to help you)

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

\(\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)\)

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

\(\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}]\)

\(=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}\)bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

\(=\dfrac{x}{\dfrac{x}{4}}=4\)

Hence, she made 4 bracelets.

The amount of gas in her tank after 8 days given the linear equation g = 213 - 1.6d is 200.2 gallons of gas

The equation

g = 213 - 1.6d

Gas remaining after 8 days

g = 213 - 1.6(8)

= 213 - 12.8

g = 200.2 gallons of gas

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Answer:

B

Step-by-step explanation:

8 1/2 - 2 = 6 1/2

6 1/2 + 4 3/4 = 11 1/4

Answer:

a) 1 : 100

1 cm en el mapa equivalen a 100 cm en la realidad

b) 1 : 1000

1 cm en el mapa equivalen a 1000 cm en la realidad

c) 1 : 2000

1 cm en el mapa equivalen a 2000 cm en la realidad

d) 1 : 18000

1 cm en el mapa equivalen a 18000 cm en la realidad

Step-by-step explanation:

Tenemos 4 escalas :

a) 1 : 100

b) 1 : 1000

c) 1 : 2000

d) 1 : 18000

Definimos ''escala'' como una relación entre dos números ''a'' y ''b'', generalmente ''a'' y ''b'' son números naturales. Denotamos la escala como :

a : b

En dónde ''a'' representa la longitud del dibujo y ''b'' la longitud real.

Por ende, cuando \(a<b\) estamos en presencia de una escala de reducción y cuando \(a>b\) estamos en presencia de una escala de ampliación.

La escala \(a=b\) ó 1 : 1 se define como escala natural.

Analicemos cada caso :

a) 1 : 100

Aquí vemos que es una escala de reducción (dado que 1 < 100) por ende cualquier magnitud de longitud en el mapa será 100 veces más grande en la vida real.

En este caso, 1 cm en el mapa equivalen a 100 cm en la realidad.

Análogamente y con el mismo razonamiento, escribimos las relaciones para los casos b), c) y d)  

b) 1 cm en el mapa equivalen a 1000 cm en la vida real

c) 1 cm en el mapa equivalen a 2000 cm en la vida real

d) 1 cm en el mapa equivalen a 18000 cm en la vida real

b), c) y d) también representan escalas de reducción.

The mixture of 13% disinfectant solution needs to be made with 8 gallons of 11% solution and 4 gallons of 17% solution respectively.

Let

x + y = 12

0.11x + 0.17y = 0.13 × 12

x + y = 12

0.11x + 0.17y = 1.56

From (1)

x = 12 - y

Substitute into (2)

0.11x + 0.17y = 1.56

0.11(12 - y) + 0.17y = 1.56

1.32 - 0.11y + 0.17y = 1.56

- 0.11y + 0.17y = 1.56 - 1.32

0.06y = 0.24

divide both sides by 0.06

y = 0.24/0.06

y = 4

x + y = 12

x + 4 = 12

x = 12 - 4

x = 8

So therefore, the gallons of 11% solution and

gallons of 17% solution needed are 8 and 4 gallons respectively.

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Answer:

2

Step-by-step explanation:

Answer:

6 ways

Step-by-step explanation:

1 way for true or false and 5 ways for multiple choice questions