Find the compound interest of $9080 for
[tex]2 \frac{1}{2} [/tex]
years at 5% per annum​

Answer:

B) 110.92 u²

Step-by-step explanation:

to find the surface area, find the area of each side and add them together.

here are all 6 sides:

4.5 * 6.8

4.5 * 6.8

4.5 * 2.2

4.5 * 2.2

2.2 * 6.8

2.2 * 6.8

4.5 * 6.8 = 30.6

4.5 * 6.8 = 30.6

4.5 * 2.2 = 9.9

4.5 * 2.2 = 9.9

2.2 * 6.8 = 14.96

2.2 * 6.8 = 14.96

30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96

110.92

Move all terms that don't contain x to the right side and solve.

x = 43

Answer:

x=43

Step-by-step explanation:

2x+96=182    

2x=86      (Subtract 96 from 182)

x=43         (Divide 86 by 2)

Step-by-step explanation:

[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]

8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2

To divide by a fraction, multiply by its reciprocal.

8x^3 − 125y^3/(2x + 5y)^3  ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Simplify the numerator.

Rewrite 8x^3 as (2x)^3.

(2x)^3 − 125y^3/(2x + 5y)^3 ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2  

Rewrite 125y^3 as (5y)^3.

(2x)^3 − (5y)^3/(2x + 5y)^3  ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.

(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3  ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2

Multiply 5 by −1.

(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3   ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2  

Apply the product rule to 2x.  

(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3    ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2

Raise 2 to the power of 2.

(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3    ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Rewrite using the commutative property of multiplication.

(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3      ⋅   4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Multiply 2 by 5.

(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3  ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2

Apply the product rule to 5y.

(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3    ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Raise 5 to the power of 2.

(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3    ⋅  4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2

Cancel the common factor of 4x^2 + 10xy + 25y^2.

((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)

Multiply

(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3

Factor using the perfect square rule.

Rewrite 4x^2 as (2x)^2.

(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3

Rewrite 25y^2 as (5y)^2.

(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3

Check that the middle term is two times the product of the numbers being squared in the first

term and third term.

20xy = 2 ⋅ (2x) ⋅ (5y)

Rewrite the polynomial.

(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3

Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and  b = 5y.

(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3

Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.

Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.

(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3

Cancel the common factors.

 2x − 5y / 2x + 5y

Answer:

This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)

Step-by-step explanation:

Answer:

53 caramelos

Step-by-step explanation:

El número total de caramelos en el frasco = 180 caramelos

Para Laura

Laura se ha comido la décima parte de un frasco

1/10 × 180 caramelos = 18 caramelos

Por Marta

Marta una novena

1/9 × 180 = 20 caramelos

Por Cristina

Cristina una quinta.

1/5 × 180 = 36 caramelos.

De lo que queda, Juan se ha comido la mitad.

La cantidad de caramelos que quedan se calcula como:

180 - (18 + 20 + 36)

= 180 - 74

La cantidad de caramelos que quedan = 106 caramelos

Para juan

De lo que queda, Juan se ha comido la mitad.

= 1/2 × 106

= 53 caramelos

¿Cuántos dulces quedan?

= 106 caramelos - 53 caramelos

= 53 caramelos

Por tanto, quedan 53 caramelos.

Answer:

[tex]63[/tex]

Step-by-step explanation:

Let number of nickels be [tex]x[/tex]

Number of dimes be [tex]y[/tex]

Number of quarters be [tex]z[/tex]

Total number of coins is [tex]185[/tex]

[tex]x+y+z=185[/tex]

Number of dimes is 5 more than quarters

[tex]y=5+z[/tex]

[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]

Amount of money in the jar is $25.25

[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]

[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]

[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]

[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]

So, the number of quarters is [tex]63[/tex].

Answer:

63 is the correct answer :)

Step-by-step explanation:

Answer:

4321

Step-by-step explanation:

rreer5t66

Answer: =7y^2+20y−3

Step-by-step explanation:

Answer:

V2 has more room than the Aquarium.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle LPR and Angle PLN are supplementary to one another

9x+26+5x=180

Combine like terms

14x+26=180

Subtract 26 from both sides

14x=154

Divide 14 on both sides

x=11

Hope it helped :))

Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]

Nope that's not what we're looking for.

Choice B:

[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

[tex]6^{*3},18^{*3},54^{*3},162[/tex]

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]

Nope this is not it either.

Answer: 34ft

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

Answer:

it can be answer that it could be posstive

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

Mrs. Smith used 130 centimeters of lace for each cushion.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular forms.

Given Mrs. Smith bought 6.5 meters of lace. She used 1.3 meters to make a dress. She used the rest to make 4 cushions of the same size.

Lace bought by Mrs. smith = 6.5 meters

Since she used lace in the dress = 1.3 meters

remaining lace = 6.5 - 13

remaining lace = 5.2 meters

Since she used the remaining lace to make four cushion

thus, lace required for every cushion = 5.2/4 = 1.3

therefore, she used for each cushion 130 centimeters of lace.

Learn more about mathematical operations here:

https://brainly.com/question/20628271

#SPJ2

Answer:

The answer is 22

Step-by-step explanation:

Answer:

an equation of the line L will be: y = 1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

Determining the slope between (0, -2) and (6, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]

[tex]m=\frac{1}{2}[/tex]

The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the point (0, -2), we can determine that at x = 0, the value of y = -2.

Thus,

The y-intercept b = -2

now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation

y = mx+b

y = 1/2x + -2

y = 1/2x - 2

Therefore, an equation of the line L will be: y = 1/2x - 2

Answer:

C = {-5,2,5} answer

Step-by-step explanation:

ccccccc

Answer:

y = 2x - 3.5

Step-by-step explanation:

2x² + 2y = 4x + 2x² - 7

2y = 4x + 2x² - 7 - 2x²

2y = 4x - 7

y = (4x - 7) / 2

y = 2x - 3.5

2x² + 2y = 4x + 2x² - 7

4x + 2y = 4x + 2x² - 7

4x + 2y = 4x + 4x - 7

4x+2y=8x-7

2y = 4x - 7

c

you need to find the slope and then y intercept

m=y2-y1/x2-x1

so m=2

now y intercept

3=2(4)+b

solve for b

u get -5

therefore

y=2x-5

Answer:

If I did my math right it should be 10.20

Step-by-step explanation:

-78.55 + 128.75 = 50.2

50.2 - 40 = 10.2

And then obviously just add the zero at the end bc its money

Answer:

2

Step-by-step explanation:

The common difference in an arithmetic sequence is the difference between any two terms

So, you could start by doing -3 + d = -1

-3 + d = -1

-3 + d +3 = -1 +3

d = 3 -1

d = 2

Now test it with other terms

-1 + d = 1

Substitute

-1 +2 = 1

2 -1 = 1

1 = 1

It works!!!

If you want you can try it with 1 and 3

1 + d = 3

1 + 2 = 3

3 = 3

I hope this helps!!!!

Answer:

The first choice

Step-by-step explanation:

Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.

Answer:

option 1 or A

Step-by-step explanation:

it is the definition of perpendicular lines

Answer:

f(n) = 2.8n + 0.7

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

Let us solve the question

∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where

→ To write it as a function replace a[tex]_{n}[/tex] by f(n)

∵ a[tex]_{n}[/tex] = f(n)

∴ f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

∴ f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

∴ f(n) = 2.8n + 0.7

Answer:

3/4

Step-by-step explanation:

Answer:

1/25 to get both correct

Step-by-step explanation:

So the probability of getting one choice correct is 1/5

Since 5 choices 1 is correct

now we have to get 2 in a row correct so

1/5*1/5=1/25