Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 years?

An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled. An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).

Answer:

3 terms

t is the variable

4 is the constant

Answer:

Slope: [tex]\frac{3}{1}[/tex]

Y-int: 9

Step-by-step explanation:

[tex]6x + -2y = 18[/tex]

-6x              -6x

-2y = -6x + 18

-----   ------------

-2            -2

y = 3x + 9

Answer:

y=2/3x−4

Step-by-step explanation:

Answer: [tex]y=\frac{2}{3}-4[/tex]

Step-by-step explanation:

Slope[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-4-0}{0-6}\\=\frac{-4}{-6}\\=\frac{4}{6}\\=\frac{2}{3}[/tex]

Since the line hits the y-intercept at -4 the answer is

[tex]y=\frac{2}{3}-4[/tex]

Step-by-step explanation:

Example 1

Solve the equation x3 − 3x2 – 2x + 4 = 0

We put the numbers that are factors of 4 into the equation to see if any of them are correct.

f(1) = 13 − 3×12 – 2×1 + 4 = 0 1 is a solution

f(−1) = (−1)3 − 3×(−1)2 – 2×(−1) + 4 = 2

f(2) = 23 − 3×22 – 2×2 + 4 = −4

f(−2) = (−2)3 − 3×(−2)2 – 2×(−2) + 4 = −12

f(4) = 43 − 3×42 – 2×4 + 4 = 12

f(−4) = (−4)3 − 3×(−4)2 – 2×(−4) + 4 = −100

The only integer solution is x = 1. When we have found one solution we don’t really need to test any other numbers because we can now solve the equation by dividing by (x − 1) and trying to solve the quadratic we get from the division.

Now we can factorise our expression as follows:

x3 − 3x2 – 2x + 4 = (x − 1)(x2 − 2x − 4) = 0

It now remains for us to solve the quadratic equation.

x2 − 2x − 4 = 0

We use the formula for quadratics with a = 1, b = −2 and c = −4.

We have now found all three solutions of the equation x3 − 3x2 – 2x + 4 = 0. They are: eftirfarandi:

x = 1

x = 1 + Ö5

x = 1 − Ö5

Example 2

We can easily use the same method to solve a fourth degree equation or equations of a still higher degree. Solve the equation f(x) = x4 − x3 − 5x2 + 3x + 2 = 0.

First we find the integer factors of the constant term, 2. The integer factors of 2 are ±1 and ±2.

f(1) = 14 − 13 − 5×12 + 3×1 + 2 = 0 1 is a solution

f(−1) = (−1)4 − (−1)3 − 5×(−1)2 + 3×(−1) + 2 = −4

f(2) = 24 − 23 − 5×22 + 3×2 + 2 = −4

f(−2) = (−2)4 − (−2)3 − 5×(−2)2 + 3×(−2) + 2 = 0 we have found a second solution.

The two solutions we have found 1 and −2 mean that we can divide by x − 1 and x + 2 and there will be no remainder. We’ll do this in two steps.

First divide by x + 2

Now divide the resulting cubic factor by x − 1.

We have now factorised

f(x) = x4 − x3 − 5x2 + 3x + 2 into

f(x) = (x + 2)(x − 1)(x2 − 2x − 1) and it only remains to solve the quadratic equation

x2 − 2x − 1 = 0. We use the formula with a = 1, b = −2 and c = −1.

Now we have found a total of four solutions. They are:

x = 1

x = −2

x = 1 +

x = 1 −

Sometimes we can solve a third degree equation by bracketing the terms two by two and finding a factor that they have in common.

Step-by-step explanation:

mark up as brainliest

Commutative law under addition says- p + q = q + p. Commutative law under multiplication says p x q = q x p. Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.0

Answer:

140 TICKETS

Step-by-step explanation:

Answer:

solution

x<2,2x<-4,x-2<-4 are equvalent

but x-2<4 is not

Answer:

653

Step-by-step explanation:

Answer:

n= -5

Step-by-step explanation:

7n+3n= -50

solve 10n=-50 n= -5

Answer:

Step-by-step explanation:

First substitue the coordinates to the equation so

x=9, y=2

you would get

2=-3/7(9) + b

we put b because we are trying to find the new slope

multiply the two numbers above

2=-3/6/7 + b

subtract the whole number from both sides

b= 5/6/7

in equation would be

y= -3/7 + 5/6/7

Let me know if there is an error.

Answer:

133

Step-by-step explanation:

40 percent more than is 133

Answer:

1st. 3 2nd.2

Step-by-step explanation:

Hope this helped and was correct

Answer:

"In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall."

Step-by-step explanation:

Answer:

5/24 or 20.8%

Step-by-step explanation:

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

Answer:

both negative

Step-by-step explanation:

Descartes rule of signs tells us how many positive and negative real roots a polynomial has.

Given

f(x) = x² + 5x + 6 , with signs

+, +, + ← no change of signs, thus no positive zeros

f(- x) = (- x)² + 5(- x) + 6 = x² - 5x + 6 , with signs

+, -, + ← with 2 changes of signs. thus 2 negative zeros

Answer:

B) Both Negative

Step-by-step explanation:

[tex](x^2+5x+6)\\=(x^2+2x+3x+6)\\=x(x+2) + 3(x+2)\\=(x+3)(x+2)\\Hence,\ as\ their\ factors\ are\ (x+3)\ and\ (x+2)\ their\ zeroes\ are\ (-3)\ and\ (-2)\ respectively..\\As\ they\ both\ are\ negative..\ the\ answer\ is\ b)\\\[/tex]

Answer:

PLZ MARK BRAINLIEST!

The answer is $92.25

Step-by-step explanation:

0.85+1.20=$2.05

2.05 times 45= $92.25

Answer:

Hey, want to do a zoom today? I can do one in about an hour

Step-by-step explanation:

Answer:

x^2 -1x-20 +((-54)/(x-3))

Step-by-step explanation:

Let's do long division. I've uploaded the file for the work.

Answer:

is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.

Step-by-step explanation:

don´t forget to brainllest!:)

Answer:

Slope: 1/2.5

Y-intercept: -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Approximate area is about 50 units²

The closest option is the last one

Answer:

Except 4(a+b+2)

Step-by-step explanation:

It's 4a+4b+8 when expand

Answer:

- [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Find slope by using slope intersept form ( [tex]\frac{y2-y1}{x2-x1}[/tex])

Plug the x and y values from the given pairs into slope interspt form: [tex]\frac{-5-0}{3-0}[/tex]

Find the diffrence: [tex]\frac{-5}{3}[/tex]

Solution : - [tex]\frac{5}{3}[/tex]

t would be best if Peter's report card percentage was based on the mean and if he could drop a percent, he should drop the 44%.

Step-by-step explanation:

The median (without dropping a score) of this set would be 75%

( 44%, 64%, 71%, 75%, 84%, 90%, 98% )

The mean (without dropping a score) of this set would be 75.1428571%

526 ÷ 7 = 75.14 ( 75.1428571 )

Answer:

A. Peter should choose the mean after dropping one test score.

Step-by-step explanation:

Answer: second option (counting from the top)

Step-by-step explanation:

When we have a number:

z = x + y*i

we can represent this with the point:

(x, y).

Now, remember that in polar coordinates, we need to use the variables:

r = distance to the (0, 0), or the "magnitude" of the point.

θ = angle measured counterclockwise from the x-axis.

r is easy to find, is the magnitude, this is calculated as:

r = √(x^2 + y^2)

To find θ, suppose that we have a triangle rectangle, where x is the adjacent cathetus, and y is the opposite cathetus, and θ is the angle as we described it.

We know that:

Tan(θ) = opposite cathetus/adjacent cathetus = y/x

Tan(θ) = y/x

Then:

θ = Tan^-1 (y/x)

Then the correct option is the second option (counting from the top)

Answer:

its b

Step-by-step explanation:

trust

Answer:

5.35*2+x=16 and the answer is $.35

Step-by-step explanation:

5.35*2+x=16

10.70+x=16

-10.70     -10.70

x=5.30

5.30/15= about .35

Answer

$12.65/15

Step-by-step explanation:

$16.00-$5.35=$12.65

This means that $12.65/15 is the cost of each apple.

Answer:

where's the table. on és la taula?

Step-by-step explanation: