The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y

La matemática financiera experimentó grandes avances con la creación de la banca y los negocios creados por los emprendedores. E

Tresset [83]

Answer:

c = $\frac{1}{10}$

f= 1500

Step-by-step explanation:

Tenemos la siguiente ecuación

$C = f+cm$

Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones

$3000=f+c15000, 3500=f+c20000$

Si restamos la segunda ecuación de la primera, tenemos que

$3500-3000 = f-f+(20000c-15000c)$

Luego

$500 = 5000c$

Entonces $c = \frac{500}{5000} = \frac{1}{10}$

Si tomamos la primera ecuación, tenemos que $3000-\frac{15000}{10} = f$ . Es decir,

$3000-1500 = f = 1500$

Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.

8 0

3 years ago

Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 15%

hodyreva [135]

Hi there

Party Prices •
Food & Drink $300 •
Game Tokens $125 •
Other $85
Total 300+125+85=510

15% deposit prior
510×0.15=76.5

still owed for Molly's party
510−76.5=433.5

So it's d

Good luck!

7 0

4 years ago

Read 2 more answers

Find the volume of a cone with diamter 12 and height 8

NeX [460]

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

d = 12

r = d/2

r = 12/2

r = 6

V = 1/3 * 3.14 * 6^2 * 8

V = 301.44

3 0

3 years ago

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the

Nitella [24]

Answer:

The solution to this system is (4, 1/6).

Step-by-step explanation:

Please separate these two equations for clarity. I like to write them in column format:

2.5y + 3x = 27

5x – 2.5y = 5

---------------------

8x = 32, and x = 4.

Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.

Then 20 - 2.5y = 5, or 15 = 2.5y. Solving for y, we get y = 1/6.

The solution to this system is thus (4, 1/6).

5 0

3 years ago

Read 2 more answers

Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0

3 years ago

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x- 12). What