where is the point (0, –4) located

Answer:

Step-by-step explanation:

Today's Age = 30

Retirement Age = 64

Total Monthly Deposits = ( 64 - 30 ) * 12 = 408

In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%

Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%

Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )

= $100,000 * 7.4864

= $748,642.20

Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )

= $1,000,000 * 0.050535

= $50,534.52

Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52

= $799,176.70

Now the monthly deposit be X

= X * FVAF ( 408 , 1% ) = $799,176.70

= X * 5752.85 = $799,176.70

X = $138.918

Therefore Monthly Deposit = $138.92

Answer:

27,000

Step-by-step explanation:

$450,000 x 0.06= $27,000

0.06 is the 6% that you multiply by the total amount they earned to see how much they paid the realty company.

Answer:

No he is not right because his desk is not that big, and with centimeters it's possible because the centimeters are like more little

answer : D

Answer:

C. 50.24 inches

Step-by-step explanation:

The area of a circle can be represented by [tex]\pi r^{2}[/tex]. To find the circumference, all we need to do is know the radius, and then we can plug that value into the circumference formula [tex]2\pi r[/tex]. So, to find the radius we see that:

[tex]\pi r^{2} = 201[/tex]

[tex]r = \sqrt{\frac{201}{\pi } }[/tex]

So, the circumference is:

[tex]2\pi (\sqrt{\frac{201}{\pi } })[/tex], which is closest to the answer C) 50.24 inches.

Hope this helped! :)

Answer:

y=(1/4)x + 9      OR      y=x/4 +9

Step-by-step explanation:

Perpendicular lines have a slope/gradient of -1/n

Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.

y=(1/4)x+b

(0,9) is the y-intercept, so b = 9

y=(1/4)x + 9      OR      y=x/4 +9

Answer:

22,950 units³

Step-by-step explanation:

All you have to do is:

[tex]\frac{3}{4} *60*15*34=\\45*15*34=\\675*34=\\\\22,950[/tex]

Answer:

x-5

Step-by-step explanation:

got it right

The expression to replace the numerator is (x - 5).

Option B is the correct answer.

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,

(2x - 8 - (x - 3)) / (x² - 7x + 10)

= (2x - x - 8 + 3) / (x - 2) (x - 5)

= (x - 5) / (x - 2) (x - 5)

Thus,

The numerator is (x - 5).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

10. ⅔ − ∛e

11. 79 + 3√3

Step-by-step explanation:

10. ∫ (1 + 1/x) dx

∫ dx + ∫ (1/x) dx

These are both standard integrals.

x + ln|x| + C

Evaluate between x = ∛e and x = 1.

(1 + ln|1| + C) − (∛e + ln|∛e| + C)

1 + 0 + C − ∛e − ⅓ − C

⅔ − ∛e

11. ∫₁³ (4x³ + ³/₂√x) dx

∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx

(x⁴ + x^(³/₂) + C) |₁³

(x⁴ + x√x + C) |₁³

(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)

81 + 3√3 + C − 1 − 1 − C

79 + 3√3

The solutions and answers are in the picture below.

Best of Luck!

Answer:

22

Step-by-step explanation:

=x(x+22)

Answer:

The answer is 22

Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

Answer:

Step-by-step explanation:

The first step is to distribute the 2m and 3 to ([tex]m^2-2m+2[/tex]), like so:

[tex](2m+3)(m^2-2m+2)[/tex]

[tex]2m^3-4m^2+4m+3m^2-6m+6[/tex]

Then, add like terms:

[tex]2m^3 -m^2 -2m + 6[/tex]

Answer:

A. 1/2

Step-by-step explanation:

20x=10

Divide 20 on both sides of the equation to get x by itself

20x=10

___.  __

20.     20

x =1/2

Answer:

A) x= 1/2

Step-by-step explanation:

20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

Answer:

perpendicular linesssssssss

The answer is B. perpendicular lines. This is because only perpendicular lines can form 4 congruent angles when they intersect (all 4 angles will be 90 degrees).

Answer:f(8)=g(8)

Step-by-step explanation:

So in these problems f(8) means that you look at the f(x) function (function 1) and plug in 8 for x.  Then since it says g(8), you look at the g(x) function and substitute x for 8.  If we do that, f(x)=2(8)-3 which is 13.  g(x)=3/2x+1=13.  The two of them are equal when x=8.  So the answer is the third choice

Answer:

f(8)=g(8)

Step-by-step explanation:

Just put the values of given functions in the equation

Answer:

18

Step-by-step explanation:

The total number of cookies that were made

35+30 = 65

The cookies that were eaten is 47

65-47 =18

There were 18 cookies left

Answer:

$18

Step-by-step explanation:

35+30=65

65-47=18

Answer:

E

Step-by-step explanation:

so you put the square root of 10 and then it will give you a decimal

Answer:

F

Step-by-step explanation:

when you put in 10 you get

3.16227766017 to the nearest number is 3.2

Answer:

Should be the bottom one

Step-by-step explanation:

You can find this by counting. It is the only one with 12 units.

Answer:

Step-by-step explanation:is number 4 i pick it and its correct

Answer:

(1): nearest ten is 5840

(2):nearest hundred is 5800

(3):nearest thousand is 6000

Step-by-step explanation:

For nearest ten we get 5840

For nearest hundred we get 5800

For nearest thousand we get 6000

Answer:

Legon fo)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dataset 1 (in increasing order)

{1, 4, x, 8}

Dataset 2 (in increasing order)

{2, 5, y, 9}

Median of dataset 1

[4 + x] / [2]

Median of dataset 2

[5 + y] / [2]

since the medians of the two given sets of data are the same,

=> [4 + x] / [2] = [5 + y] / [2]

=> 2(5 + y) = 2(4 + x)

=> 10 + 2y = 8 + 2x

=> 2y - 2x = 8 - 10

=> 2y - 2x = - 2

=> 2(y - x) = - 2

=> [2(y - x)] / [2] = [- 2] / [2]

denominators and numerators cancel out

=> (y - x) = - 1

Therefore, (y - x) ² = (-1)²

=> (y - x) ² = 1

Answer:

The pattern is multiplying by 2.

Next three terms: 64,128,256

Step-by-step explanation:

4,8,16,32

To get from 4 to 8 we can multiply by 2.

To get from 8 to 16 we can multiply by 2.

To get from 16 to 32 we can multiply by 2.

So the pattern is multiplying by 2.

To find the next three terms:

32*2=64

64*2=128

128*2=256

Answer:

c.) $3,780

Step-by-step explanation:

9/100 × $42,000

= 9 × $420

= $3,780

Answer:

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Answer:

B. 20

Step-by-step explanation:

5P2 is equal to 20 using the permutation formula.

[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when

[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]

[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]

We omit the negative root, since we only care for [tex]y\ge0[/tex].

In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral

[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]

and so the volume is (32√2)/21 π.

Answer:

255.50

Step-by-step explanation:

If each day the number is doubled, then all you must do is keep on doubling to the ninth day and then add it all together

to use brainy plus on your computer you need to log in with the same account you used on the phone

Answer:

try to restart and delete then re download the app:)

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

. if every corresponding internal angles in both shapes are equal

. if all corresponding sides are equal or have same ratio.

more rules but depends on the shape also ( triangle, rectangle, hexagon,...)

Answer:

8

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year.  So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3.  However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6.  Same problem as before.

If a₁ = 3, then a₅ = 9.  This is a possible solution.

If a₁ = 4, then a₅ = 12.  If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year.  So he took 19 exams total in his second, third, and fourth years.

3 < a₂ < a₃ < a₄ < 9

If a₂ = 4, then a₃ = 7 and a₄ = 8.

If a₂ = 5, then a₃ = 6 and a₄ = 8.

If a₂ = 6, then there's no solution.

So Alex must have taken 8 exams in his fourth year.