Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?

Answer:

A = $ 7,449.23

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 2,449.23

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r/n)^nt

Calculate Principal Amount, solve for P

P = A / (1 + r/n)^nt

Calculate rate of interest in decimal, solve for r

r = n[(A/P)(^1/nt) - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Formulas where n = 1 (compounded once per period or unit t)

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r)^t

Calculate Principal Amount, solve for P

P = A / (1 + r)^t

Calculate rate of interest in decimal, solve for r

r = (A/P)1/t - 1

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / ert

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

Answer: y=4x+9

Step-by-step explanation:

M= 1+11/-2+5= 12/3= 4

y=mx+b

1=4(-2)+b

1=-8+b

b=9

y=4x+9

9514 1404 393

Answer:

  30

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

  LCD = 3×10 = 30

The least common denominator is 30.

__

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

Answer:

When s = 20, r = 9

Step-by-step explanation:

Given,

s is directly proportional to (r + 1)

s = k(r + 1)

(k is the constant of proportionality)

When s = 8,

8 = k(3 + 1)

8 = k(4)

8 = 4k

8/4 = k

2 = k

When s = 20,

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Answer:

Step-by-step explanation:

P=2x+2y+4

y=p/2-x-2

The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Solve for y P=2x+2y+4

From the data given in the question:

The linear equation is:

P=2x+2y+4

To solve for make the subject as y:

2y = P - 2x - 4

y = (1/2)[P - 2x - 4]

Or

y = P/2 - x - 2

Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

Step-by-step explanation:

should be 1110

Answer:

1110

Step-by-step explanation:

Answer:

x=5+5√2; x=5-5√2

Step-by-step explanation:

To complete the square we need to turn part of the equation into a perfect square trinomial. Remember, in any equation we can do anything we like to the numbers as long as both sides stay equal.

First, let's subtract 10 from both sides.

x^2-10x=25

This does not factor, so we need to turn it into a perfect square trinomial by adding the quantity equal to (b/2)^2. In this case, (b/2)^2 is 25.

x^2−10x+25=25+25

IMPORTANT: You must keep the sides of the equation equal, so we added a 25 to the right side as well to keep the equation true.

From here we can factor, simplify and find our zeroes.

(x-5)(x-5)=50

(x-5)^2=50

x-5=±√50

x=5±√50

√50=5√2

So our final answer is:

x=5+5√2; x=5-5√2

HTH :)

Answer:

237 is how much it changed

Step-by-step explanation:

all you do is 287 - 50 thats ur answer

Answer:

D

Step-by-step explanation:

I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.

Answer:

six points for all this ? HAHAHAHAHA LFMAO

Step-by-step explanation:

Answer:

107.76

Step-by-step explanation:

We are told in the above question that:

He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?

We solve the above question by:

33.5 hours = 3610 miles

1 hour = x miles

Cross Multiply

33.5 hours × x miles = 3610 miles × 1 hour

x miles = 3610 miles × 1 hour/33.5 hours

x miles = 107.76119403 miles

Approximately = 107.76 miles per hour

Therefore, he flew 107.76 miles each hour

Answer:

-4, 3

The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)

Step-by-step explanation:

For edge:)

Rational root theorem is used to determine the potential roots of a function

The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]

p represents the leading coefficient, while q represents the constant term.

So, we have:

[tex]\mathbf{p = 3}[/tex]

[tex]\mathbf{q = 4}[/tex]

The factors of p and q, are:

[tex]\mathbf{p =\pm 1, \pm 3}[/tex]

[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]

So, the potential roots are:

[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]

[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]

So, we have:

[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Read more about rational root theorems at:

https://brainly.com/question/9353378

Answer:

13

Step-by-step explanation:

Answer:

yes it is 13 i think

Step-by-step explanation:

lol i hope this is it

Answer:

110⁰!!

Step-by-step explanation:

so this is an isosceles triangle! the base angles are always equal to each other. since 35 is a vertical angle, the base angle vertical to that would be 35. and since base angles ALWAYS equal each other, they would both be 35.

35+35=70, 70 is the base angles added up

180-70=110

c=110

Answer:

The correct answer is C(11,7)

Step-by-step explanation:

I had this question and got it right lol

The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).

The coordinates of the preimage would be :

x  = x cos θ + y sin θ

y = x sin θ + y cos θ

Here x = -11 ,y = 7 and θ = 270°

Substitute the values in the above equations,

x  = (-11) cos 270° + 7 sin 270° = -7

y = (-11) sin 270° + 7 cos 270° = 11

Therefore, the required coordinates of the preimage are (-7, 11).

To learn more about the transformations click here :

https://brainly.com/question/28029674

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Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

Answer:

7

Step-by-step explanation:

Answer:

y=-3

y=3/4x +0

Step-by-step explanation:

Answer:

Fuel efficiency of first car = 30 miles/gallon

Fuel efficiency of second car = 25 miles/gallon

Step-by-step explanation:

Given that:

Fuel consumed by first car = 40 gallons

Fuel consumed by second car = 15 gallons

Total distance drove by the two cars combined = 1575 miles

Sum of their fuel efficiencies = 55 miles/gallon

To find:

The fuel efficiencies of each of the cars = ?

Solution:

Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.

Let the distance traveled by first car = [tex]x[/tex] miles

So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles

Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon

Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon

As per given question statement:

[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]

Distance traveled by first car = 1200 miles

Fuel used by first car = 40 gallons

So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]

Distance traveled by second car = 1575 - 1200 = 375 miles

Fuel used by second car = 15 gallons

So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]

Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details

Step-by-step explanation:

The given linear system is:

[tex]\displaystyle \left \{ {{5x+3y=1} \atop {-5x-7y=31}} \right.[/tex]

Linear systems can be solved using either elimination or substitution. However, the question is asking to solve using elimination, so I will use that method.

When eliminating, you can either eliminate x or y. In this system, x is much easier to eliminate. The x variable in the first equation is 5x, and in the second equation, it is -5x. Since 5 and -5 cancel each other out, you don't need to do anything other than add.

[tex]5x+3y=1\\-5x-7y=31[/tex]

[tex]\displaystyle 3y-7y=1+31\\-4y=32[/tex]

Lastly, you need to leave the variable y alone. The variable is currently -4y or -4 times y. To remove it, you need to do the opposite of it, which is dividing by -4.

Divide both sides by -4:

[tex]\displaystyle\frac{-4y}{-4} =\frac{32}{-4}[/tex]

[tex]\displaystyle y=-8[/tex]

Now that you have the value of y, substitute it into one of the equations to find x. I will be substituting it into the first equation.

[tex]\displaystyle 5x+3y=1 \rightarrow 5x+3(-8)=1[/tex]

Open the parentheses and multiply:

[tex]5x-24=1[/tex]

Move 24 to the other side to leave the variable alone:

[tex]5x-24+24=1+24[/tex]

You will be adding since you're "removing" it by doing the opposite of it.

[tex]5x=25[/tex]

Lastly, divide both sides by 5 to leave x alone.

[tex]\displaystyle \frac{5x}{5} =\frac{25}{5}[/tex]

[tex]x=5[/tex]

[tex]\displaystyle (x,y) \rightarrow (5, -8)[/tex]

The answer is (5, -8).

Answer:

10.5

Step-by-step explanation:

2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.

Answer:

22.5% Hope this helps

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

Answer:

[tex](.2246 \\ 5513[/tex]

Answer:

Answer: B

Step-by-step explanation: y=-1/5x+1/10