solve for x. solve for x.

Answer:

18.2%

Step-by-step explanation:

Given data

Principal=  $2500

Final amount= $3600

Time = 2 years

Rate=???

The expression for the rate is given as

r= ln(A/P)/t

substitute

r= ln(2500/3600)/2

r= ln(0.6944)/2

r= -0.364/2

r= 0.182

Hence the rate is 18.2%

Answer:

initial amount is 130

decaying at 55%

Step-by-step explanation:

Answer:

Step-by-step explanation:

from the graph we konw the ∠ABD=∠DBC, because ∠DBC=20, so ∠ABD=20

Answer:

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

Step-by-step explanation:

Two dots on the line are shown:  (-3, -6) and (2, -2).

As we move from the first to the second, x (the 'run') increases by 5 and y (the rise) increases by 4.  Thus, the slope of this line is m = rise / run = 4/5.

Using the point-slope formula y - k = m(x - h), we get:

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

Answer:

n = - 1 , n = 3

Step-by-step explanation:

n² - 2n - 3 = 0 ( add 3 to both sides )

n² - 2n = 3

to complete the square

add ( half the coefficient of the x- term)² to bpth sides

n² + 2(- 1)n + 1 = 3 + 1

(n - 1)² = 4 ( take square root of both sides )

n - 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 1 to both sides )

n = 1 ± 2

Then

n = 1 - 2 = - 1

n = 1 + 2 = 3

Answer:

(-1) & 4/3

Step-by-step explanation:

           3x² - x - 4

Sum = -1

Product = 3*(-4) = -12

Factors = -4 and 3       { (-4)*3 = -12 & (-4) + 3 = -1}

3x² - x - 4 = 3x² + 3x - 4x -4 {Rewrite the middle term using the factors}

               = 3x(x + 1) -4(x + 1)

               =(x + 1)(3x - 4)

x + 1 = 0   ;  3x - 4 = 0

     x = -1  ;          3x = 4

                            x = 4/3

[tex]\sf Zeroes \ of \ the \ polynomial \ are \ (-1) \ and \ \dfrac{4}{3}[/tex]

Verification:

         [tex]\sf 3x^2 - x - 4 = 0\\\\Divide \ the \ entire \ equation \ by \ 3\\\\\\\dfrac{3x^2}{3}-\dfrac{x}{3}-\dfrac{4}{3}=0\\x^2 - \dfrac{x}{3}-\dfrac{4}{3}=0[/tex]

       Coefficient of x = sum of the zeroes

                                  [tex]\sf = -1 + \dfrac{4}{3}\\\\=\dfrac{-3}{3}+\dfrac{4}{3}\\\\=\dfrac{1}{3}\\\\[/tex]

Constant = product of the zeroes

               [tex]\sf = (-1)*\dfrac{4}{3}\\\\=\dfrac{-4}{3}[/tex]

Thus verified.

Answer:

A.

[tex] SA= \frac{2}{3} \pi rl+16 \pi r^2[/tex]

Step-by-step explanation:

Surface area of the original cone

[tex] SA= \pi r l + \pi r^2... (1)[/tex]

When, radius is quadrupled and slant height is reduced to one sixth

[tex] i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l[/tex]

Plug the above values of r and [tex] l[/tex] in equation (1), new surface area becomes:

[tex] SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2[/tex]

[tex] SA= \frac{4}{6} \pi rl+16 \pi r^2[/tex]

[tex]\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}} [/tex]

Answer:

the answer is B

Step-by-step explanation:

Answer:

31.4cm

Step-by-step explanation:

Formula for circumference of a circle:

[tex]C = 2\pi r[/tex]

The radius of a circle is half of the diameter:

10/2 = 5

Plug in the values using 3.14 for pi:

C = 2(3.14)(5)

C = 31.4cm

Answer:

D. 70.39

Step-by-step explanation:

This is not a good question, but I will show you how to get the answer I chose.

Area = (pi)(r)^2

394.38 = (3.14)(r)^2

divide both sides by 3.14

125.598726 = r^2

take the square root of both sides

r = 11.207083...

rounded is 11.21

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

Circumference = (2)(pi)(r)

C = (2)(3.14)(11.207083)

C = 70.38

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

Here's why it's a bad question:

If the diameter is 10, the radius is half of that, = 5

Area = (pi)(r)^2

Area = (3.14)(5)^2

A = (3.14)(25)

A = 78.5

So the question says the diameter is 10, but if that's true, the area cannot be 394.38

Also, the circumference can be calculated as (pi)(diameter), so 3.14 x 10 = 31.40, which is not an answer option.

The value of 8(x + 7) is 8x + 56.

The value of 6(11 + x) is 66 + 6x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of  multiplication over addition states that,

a x (b + c) = a x b + a x c

Now,

8 x (x + 7)

= 8 x (x) + 8 x 7

= 8x + 56

6 (11 + x)

= 6 x 11 + 6 x (x)

= 66 + 6x

Thus,

The value is 8x + 56 and 66 + 6x.

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Answer:

D) I’m 100% sure it’s correct!

Step-by-step explanation:

Answer:

A and C or 2-6 and 4-3

Step-by-step explanation:

Answer:

slope = (3/2)

Step-by-step explanation:

point 1: (-1, 1); Point 2: (1, 4)

            (x₁, y₁)              (x₂, y₂)

y₂ - y₁         4 - 1            3            3

----------- = ------------ = --------- = -------

x₂ - x₁          1 - (-1)       1 + 1          2

I hope this helps!

Answer:

u will multiply -x by the big bracket and rhen start cancelling and factor it by common numbers

Answer:

(x + 3)(- x² - 3x + 1)

Step-by-step explanation:

Given

(x + 3) - x(x² + 6x + 9) ← factor is a perfect square

= (x + 3) - x(x + 3)² ← factor out (x + 3) from each term

= (x + 3)(1 - x(x + 3))

= (x + 3)(1 - x² - 3x)

= (x + 3)(- x² - 3x + 1)

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

[tex]$$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$[/tex]

[tex]$g=3 \frac{1}{2}$[/tex]

Therefore, the correct answer is option a)[tex]$g=\frac{7}{2}$[/tex].

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he is going to pay $3 for the small one

for the large one we have that it is 5 times ithe price of the small one so w gotta multiply 3 by 5 which gives us 15 dollars we add them 15+3=18 so he gotta pay $18 for both the small one and the large one

On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio =  (7/14) ^2 = 1:4

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.

The spherical balloon's initial radius is 7 cm.

The final radius is 14 cm.

ratio =

(7/14) ^2 = 1:4

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Answer:

Pick the yellow one. It's hard to read what's written but the yellow is the closest to what I would have written myself.

IM pretty sure its B.

Answer:

Q1 is Seth will have 10 more cards than Matt

Q2 is Chart B

Step-by-step explanation:

First let's find the equation of the lines and chart so we can extend the graph.

Seth's chart has the equation y = x × 4

Matt's graph has the equation y = x × 2 + 20

The extended graphs can be seen below in an attachment. If you want to make these graphs yourself, I suggest Desmos

So on week 15, Seth has 60 and Matt has 50

Find the difference by subtracting

60 - 50 = 10

The final answer is Seth will have 10 more cards than Matt

                                                        Question 2

A linear relationship is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

Now we need to find the equations of the lines and graph them.

I have found the equations of the line and graphed them which can be seen in an attachment below.

We need to find the that follows the correct equation y = mx + b.

This would be answer B.

Hope this helps!!

A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.

Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;

5n + 1.5 ≥ 4

Subtracting 1.5 from both sides of the algebraic inequality, we have:

5n + 1.5 - 1.5 ≥ 4 - 1.5

5n ≥ 2.5

Dividing both sides of the algebraic inequality y 5, we have:

n ≥ 2.5/5

n ≥ 0.5

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Step-by-step explanation:

13x-3= 3x+2 +55 (exterior angle is equal to the sum of 2 opposite interior angles)

or, 13x-3x=57+3

or,10x=60

x=60/10

x=6

FAB =13x-3

=13*6-3

=75

Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

Two or more expressions with an Equal sign is called as Equation.

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing on the last day = $27 ($28 - $1)

Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).

The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.

So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:

Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)

To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.

Once you have that measurement, you could then simply multiply it by 20.

Step-by-step explanation:

Answer:

B. exponential

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

a- 10x^2 - 4x + 12

b- no, the first equation is −1/4⋅(5x^2+6x−24) and the second is -1/4⋅(10x^2+7x-24)

Step-by-step explanation:

m6th w6y

BRAINLIEST??

Answer:

X= 18

Step-by-step explanation:

24/4=6 x 3= 18

Answer:

x=18

Step-by-step explanation:

3/4=x/24

3×24=4×x

72=4x

x=72/4

x=18

The height of the tree is closest to 40 feet.

We can use the proportion of similar triangles to determine the height of the tree.

Let h be the height of the tree and s be the length of the shadow cast by the tree.

We know that the height of the building is 60 feet and the length of its shadow is 21.5 feet. So:

(h/s) = (60/21.5)

We also know that the length of the shadow cast by the tree is 18 feet.

So we can substitute that into the proportion and solve for h:

h = (60/21.5) * 18

h = (60*18)/21.5

h ≈ 40

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Answer:

Statement 1) Corresponding angles

Statement 2) Congruent

Statement 3) 150 degrees

Statement 4) Vertical Angles

Statement 5) Congruent

Statement 6) 150 degrees

Statement 7) Alternate exterior angles

Statement 8) Congruent

Statement 9) Alternate Interior angles are congruent

Step-by-step explanation:

Explanation:

1) I've learned this before

2) Not all Corresponding angles are obtuse

3) Corresponding angles have the same measure

4) I've learned this before

5) Vertical Angles are congruent

6) Same reason as before

7) I've learned this before

8) Alternate Interior angles are congruent

9) I've learned this before

Please mark me the brainliest! Thank you!

first expression = 1×2, 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2 and second expression = 1×9

In mathematics, an expression is a statement that represent the method of mathematical operation in a symbolic form. An expression is developed based on numerical terms or both numerical and variable terms along with operator or signs.

it is stated that one factor is a two-digit number between one and ten.

the multiplication expression can be 1×2 , 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2

In the next, the multiplication expression for 2nd statement:

one factor is a two-digit number between one and ten and their product is greater than 8 and less than 10

1×9

the above is greater than 8 and less than 10.

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