A. Sydney invests $100 every month into an account that pays 5% APR
compounded monthly. How much money will Sydney have in the
account after 10 years? Round your answer to the nearest dollar.

Answer:

117

Step-by-step explanation:

Given

72 ÷ 8 + 4y³ with y = 3, substitute y = 3 into the expression

= 72 ÷ 8 + 4 × 3³ ← evaluate exponent

= 72 ÷ 8 + 4 × 27 ← evaluate division and multiplication

= 9 + 108 ← calculate addition

= 117

2x - 3y = 3

x + 2y = 5

In the second equation we have an x-term that has a coefficient of 1 (which means the x is all by itself), so we can isolate that x and solve by substitution.

x + 2y = 5

x + 2y - 2y = 5 - 2y

x = 5 - 2y

The expression 5 - 2y will be substituted for x in the first equation.

2x - 3y = 3

2(5 - 2y) - 3y = 3

Solve for y.

2(5 - 2y) - 3y = 3

10 - 4y - 3y = 3 (distribute the 2)

10 - 7y = 3 (collect like terms)

-7y = -7 (subtract 10 from both sides)

y = 1 (divide both sides by -7)

Substitute 1 for y in the second equation to find x.

x + 2y = 5

x + 2(1) = 5

Solve for x.

x + 2(1) = 5

x + 2 = 5 (multiply)

x = 3 (subtract 2 from both sides)

Always check your work. Substitute into the original system.

2x - 3y = 3

2(3) - 3(1) = 3

6 - 3 = 3

3 = 3

x + 2y = 5

3 + 2(1) = 5

3 + 2 = 5

5 = 5

x = 3 and y = 1; (3,1)

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

Answer: The comic book was $3.

Step-by-step explanation:

Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.

Answer:

Liam spent $3 on the book.

Step-by-step explanation:

Liam bought a comic book and had $5 left.

He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.

Liam used the equation 5x=8 to model the problem.

This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.

Hence, Liam spent $3 on the book.

Answer:

4. as they move clockwise they change/gain .01 points

5. .32 , .33 , .34 , .36 , .37 , .39

.8 , .81 , .83 , .85 , .86 , .88

Step-by-step explanation:

Final answer:

The lawyer with an annual income of $173,482 and a tax rate of 5.5% will pay $9,541.51 in income taxes.

Explanation:

To calculate the amount of income tax that the lawyer needs to pay, we multiply their annual income by the income tax rate. In this case, the lawyer has an annual income of $173,482 and the income tax rate is 5.5%. The calculation would be:

Income Tax = Annual Income × Income Tax Rate

Income Tax = $173,482 × 0.055

Income Tax = $9,541.51

Therefore, the lawyer will pay $9,541.51 in income taxes.

Answer:

[tex]y = 2x + 3[/tex]

Step-by-step explanation:

First, we can find the slope of the line.

[tex]m = \frac{y1-y2}{x1-x2}\\m=\frac{9-5}{3-1}\\m = \frac{4}{2}=2\\[/tex]

Using the [tex]y = mx + b[/tex] equation, we can solve for b

[tex]9 = 2(3)+b\\9 = 6 + b\\b = 9-6 = 3[/tex]

Let's see if [tex]y = 2x + 3[/tex] works

[tex]2(1) + 3 \\2 + 3 = 5\\\\2(3) + 3\\6 + 3 = 9[/tex]

It checks out!

Answer:

223 11/8 ft squared

Step-by-step explanation:

i made an improper fraction first then multiplied the numerators together and the denominators together and got 4205/18 then i simplified and got 233 11/18

145  x  29   =  4205  =  233 11/18

 6        3            18

Answer:

Scalene triangle

Step-by-step explanation:

The correct answer is scalene triangle because this type of triangle has angles of many different sizes or measures ;)

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :)

Answer:

○ B. Scalene Triangle

Step-by-step explanation:

All angles and sides are incongruent, according to the what you see in the triangle.

I am joyous to assist you anytime.

Answer:

add by 3

Step-by-step explanation:

-8+3=-5

-5+3=-2

-2+3=1

1+3=4

Answer:

Step-by-step explanation:

this is a arithmetic sequence   the first term is : A1 = -8

the comon difference is d = -5-(-8) =-2-(-5) =1-(-2) = 4-1 =3

the  formula can be used to describe this sequence is :

An =A1 +(n-1)d

An = -8 +3(n-1)

An = 3n -11

Answer:

2.91666667 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

I would say the answer is 6

6 + 6 than times by two is 24

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}~~=~~\stackrel{\stackrel{slope}{\downarrow }}{-3}\implies \cfrac{r-2}{3}=-3\implies r-2=-9\implies r=-7[/tex]

Answer:

4x + 5y = -10 or y = -⅘x - 2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ -2 - 6}{5 + 5} = - \frac{8}{10} = - \frac{4}{5} [/tex]

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y + 6 = -⅘(x - 5)

y + 6 = -⅘x + 4

- 6 - 6

_______________

y = -⅘x - 2

If you want it in Standard Form:

y = -⅘x - 2

+⅘x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅘(x + 5)

y - 2 = -⅘x - 4

+ 2 + 2

______________

y = -⅘x - 2

y = -⅘x - 2

+⅘x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

Answer 0.0000001356

Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point

8 places to the left.

Answer:

On 11 September 2001 (known as 9/11 in America), Islamist extremists hijacked four planes that were flying above the US. Two of them were flown into the twin towers of the World Trade Center in New York. Another was crashed into the Pentagon, the top military building in the capital city, Washington DC.

Step-by-step explanation:

Answer:

On the morning of September 11, 2001, 19 al-Qaeda terrorists hijacked four commercial passenger jet airliners, intentionally crashing two into the World Trade Center in New York City. The hijackers crashed a third airliner into the Pentagon. The fourth plane crashed in a field near Shanksville, Pennsylvania.

Hope this helps :)

Answer:

$42.05

Step-by-step explanation:

Take $96.00 from 1,584.19 to figure out how much he had before he deposited

1,584.19 - 96 = 1,488.19

Now take away what he had after he took 96, to after he added.

1,530.24 - 1,488.19 = 42.05

Allen deposited $42.05

Answer:

5 out of 13

Step-by-step explanation:

you will see all the multiples of six and 4 between 1 and 13.Which are

6=6 and 12

4=4,8,12

which are five numbers so 5 out of 13

Answer:

[tex]144\pi\ un^2.[/tex]

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is [tex]\dfrac{8\pi}{9}[/tex]

1. Find the area of the whole circle:

[tex]A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.[/tex]

2. Note that the whole circle is determined by the full rotation angle with measure [tex]2\pi[/tex] radians. So,

[tex]\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}[/tex]

So, write a proportion:

[tex]\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}[/tex]

Cross multiply

[tex]2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.[/tex]

Answer:

144

Step-by-step explanation:

Answer: 13

Step-by-step explanation: To find the range of the data set shown here, let’s first go over what range is. The range of a data set is the difference between the greatest number and the least number.

To find the range of the data set shown here, we will need to subtract the least number from the greatest number.

Least number = 2

Greatest number = 15

Greatest number - least number = range

15 - 2 = range

13 = range

Therefore, the range of the data set shown here is 13.

Answer:the ball is released when t = 0

The ball is 5.2 feet above the ground when it is released

The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function has height with time t

f(x)=-16t² + 32t + 5.2

At the time of release, the value of time t will be 0

So, t = 0

f(x) = 0 + 0 + 5.2 ⇒ f(x) = 5.2 feet

So height is 5.2 feet

Now,

The time taken to cover this height will be

5.2 = 16t² + 32t + 5.2

16t² + 32t = 0

16t(t + 2) = 0

t = 0 and -2

Since if some height exists then time can never be 0 and time also does not exist in negative so consider 2.

Hence "The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

For more about the function,

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Answer:

Y = 50

Step-by-step explanation:

Solve for Y:

Y - 9 = 41

Add 9 to both sides:

Y + (9 - 9) = 9 + 41

9 - 9 = 0:

Y = 41 + 9

41 + 9 = 50:

Answer:  Y = 50

Answer:

Y=50

Step-by-step explanation:

First you have to know that whatever you do to one side of the equal sign you must do to the other. Now you want to try and get rid of the 9 so you can separate the variable.

Y-9=41

+9 +9

Y = 50

Answer:

$3,645.6

Step-by-step explanation:

1hr=$12.4

42hrs=x

x=$520.8×7 =$3,645.6

Answer:

[tex] -3x^{4} + 3{x}^{3} + 8{x}^{2}- 2x - 5[/tex]

Step-by-step explanation:

To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Based on the calculations, the solution to the expression is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Based on the information provided above, we have this expression:

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

By applying the distributive property of multiplication to the given expression, we would open the parentheses by distributing the negative sign as follows:

[tex]-2x^4-2x^3+8x^2+2-x^4+5x^3-2x-7\\\\-3x^4+3x^3+8x^2-2x-5[/tex]

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Complete Question:

SUBTRACT

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

Enter your answer, in standard form, in the box.

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

Answer:

15 and 21

Step-by-step explanation:

Given the n th term formula

T = 2n + 5

To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula

[tex]T_{5}[/tex] = (2 × 5) + 5 = 10 + 5 = 15

[tex]T_{8}[/tex] = (2 × 8) + 5 = 16 + 5 = 21

Given:

Tn = 2n+5

Substituting the value inside the formula we get,

2(5) + 5 => 10 + 5 => 15

   2.  The Eighth term, i.e., n=8

Substituting the value inside the formula we get,

2(8) + 5 => 16 + 5 => 21

Simplifying

12x + 10 + 3 + 8x = 0

Reorder the terms:

10 + 3 + 12x + 8x = 0

Combine like terms: 10 + 3 = 13

13 + 12x + 8x = 0

Combine like terms: 12x + 8x = 20x

13 + 20x = 0

Solving

13 + 20x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 20x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 20x = 0 + -13

20x = 0 + -13

Combine like terms: 0 + -13 = -13

20x = -13

Divide each side by '20'.

x = -0.65

Simplifying

x = -0.65

Answer:

You have to do like terms

Step-by-step explanation:

12x+10+8+8x

12x+8x = 20x

10+3 = 13

your answer would be

20x+10

Answer:

x=-y

Step-by-step explanation: