James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is shared between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.

The Answer is A^15, a.k.a. A to the 15th power.

Step-by-step explanation:

First, apply the exponent rule. (a^b)^c = a^bc

You would get a^3*5 (* means times) (^ means to the power)

Second refine.

You would get d^15.

The answer is d^15.

Answer:

What is the angle for cos, keep question clearly

If angle is 90° then answer is 0

Answer:

none of them are constant of proportinality.

Step-by-step explanation:

because if you divided each one. you do not get the same answer. if you did it would have to be either  of the others, but in this case there is no constant of proportinality in that chart

Answer: D( not proportional)

Step-by-step explanation:

3*4= 12

6*4= 24

9*4=36

12*4=48

The two lasts x and y values are not proportionate because they don’t follow the same order of times 4

Answer:

300

-100

Step-by-step explanation:

-50 + -250 = -300

-300 + x = 0

x = 300

-425 + 250 + 275 = 100

-100 + x = 0

x = -100

Answer:

6.) 300 7.) -100

Step-by-step explanation:

Answer:

variable

Step-by-step explanation:

variables are often expressed by letters

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

Answer:351.86 cc( approximately)

Step-by-step explanation:

The volume of the material = External volume - internal volume

= π3^2×50-π 2.6^2×50

=351.86

The volume of the material by the pipe is 351.86 cc.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively

The length of the pipe is 50 cm

External volume = π(3)²×50 = 1413.71 cc

internal volume = π (2.6)²×50 = 1061.85

The volume of the material = External volume - Internal volume

The volume of the material = 1413.71 - 1061.85

The volume of the material = 351.86 cc

Learn more about the volume of cylinder here :

brainly.com/question/16134180

#SPJ2

The a + bi form of the given expression is 34-36i

A complex number is a number of the form a + bi, where a and b are real numbers.

Given is a complex numbers, (-3+2i)(-6 - 8i)

(-3+2i)(-6 - 8i) = 18-24i-12i+16

= 34-36i

Hence, The a + bi form of the given expression is 34-36i

For more references on complex numbers, click;

https://brainly.com/question/20566728

#SPJ2

Answer:

A. is the answer.

Step-by-step explanation:

4t-8=4×(t-2)

4=0

t-2 add to both side of equation

t=2

Answer:

Step-by-step explanation:

Well basically if you cancelled out y from both sides. You will find out x=z

-3x= -12

x=4

Thus z=4

Answer:

If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.

Step-by-step explanation:

Step-by-step explanation:

If you shoot the bullet off the back of the train, the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.If you fire a gun into the air, the bullet will travel up to a mile high (depending on the angle of the shot and the power of the gun). Once it reaches its apogee, the bullet will fall. ... In crowded cities, however, the probability rises dramatically, and people get killed quite often by stray bullets

Plz Mark me as brainlist

Answer:

Step-by-step explanation:

Answer:

three places to the right!

Step-by-step explanation:

Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).

Hope this helps!

Answer: Traducción Española

Polynomi es un término matemático que muestra la suma de monomios. Monomi es un problema matemático donde las variables y constantes pueden estar solas o multiplicarse.

Step-by-step explanation:

English translation:

Polynomi is a mathematical term that shows the sum of monomials. Monomi is a mathematical problem where variables and constants can stand alone or multiply.

Answer:

its 3 7/12

Step-by-step explanation:

.......hope it helps...... need a thanks

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Ed 2020

Answer:

Step-by-step explanation:

a relation that is not a function

Answer:

the answer is y=6/5x-7

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-7)/5-0

m=6/5

y-y=m(x-x¹)

y-(-1)=6/5(x-5)

y+1=6/5x-6

-1 -1

y=6/5x-7

Answer:

7:11

Step-by-step explanation:

From the question

Seniors : Junior's

7:4

The sum of the proportion = Total team members = 7 + 4 = 11

Hence, the ratio of seniors to total team members =

Senior : Total team members

7 : 11

Answer:

[tex]A' = -51[/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]

Required

Determine the determinant of A (A')

If

[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Then,

[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]

So:

The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is

[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]

[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]

[tex]A' = -2(11) -2(-18) -5(13)[/tex]

[tex]A' = -22 +36 -65[/tex]

[tex]A' = -51[/tex]

Hence, the determinant is -51

Answer:

Option B

Step-by-step explanation:

Given:

AB ≅ CD

BC ≅ DA

To Prove:

ΔABD ≅ ΔCDB

      Statements                             Reasons

1). AB ≅ CD                              1). Given

2). BC ≅ DA                             2). Given

3). BD ≅ BD                             3). Reflexive property

4). ΔABD ≅ ΔCDB                   4). SSS postulate of congruence

Therefore, Option (B) will be the correct option.

Answer:

quarterly N = 4

semi-annually N = 2

Monthly N = 12

annually N = 1

Step-by-step explanation:

The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:

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

n = number of times in a year for which the amount is compounded :

Annually : compounding times = 1 = 12 /12

Semi annually (6 months) ; N = 12 /6 = 2

Quarterly ; (3 months) ; N = 12 /3 = 4

Monthly ; (12 months) ; N = 12 / 12 = 1

Answer:

her life

Step-by-step explanation:

Answer:

1/3x3/4=3/12

3/4=3/12x3/1

=3/12x3/1x4/3

=3/4

Answer:

They are the same.

Step-by-step explanation:

Answer:

[tex]y = 3.5x[/tex]

Step-by-step explanation:

Required

Determine the equation

First, pick corresponding x and y values

[tex](x_1,y_1) = (6,21)[/tex]

[tex](x_2,y_2) = (14,49)[/tex]

Next, calculate the slope

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

This gives:

[tex]m = \frac{49 - 21}{14 - 6}[/tex]

[tex]m = \frac{28}{8}[/tex]

[tex]m = 3.5[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 21 = 3.5(x - 6)[/tex]

[tex]y - 21 = 3.5x - 21[/tex]

Add 21 to both sides

[tex]y - 21+21 = 3.5x - 21+21[/tex]

[tex]y = 3.5x[/tex]

Answer:

1. T = 5x + 3y

2. 16 tomatoes.

Step-by-step explanation:

1. Determination of the linear expression.

Let x represent the number of pumpkin.

Let y represent the number of tomato.

Let T represent the total sales made from selling the pumpkins and tomatoes.

From the question,

1 pumpkin = $ 5

Hence,

x pumpkin = 5x

1 tomatoe = $ 3

Hence

y tomatoes = 3y

Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:

T = 5x + 3y

Where:

T is the total sales made from selling the pumpkin and tomatoes.

x is the number of pumpkin.

y is the number of tomatoe

2. Determination of the number of tomatoes sold.

Total cost (T) = $ 98

Number of pumpkin (x) = 10

Number of tomatoe (y) =?

T = 5x + 3y

98 = 5(10) + 3y

98 = 50 + 3y

Collect like terms

98 – 50 = 3y

48 = 3y

Divide both side by 3

y = 48/3

y = 16

Therefore, 16 tomatoes was sold.