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2 years ago

9

A car that Sophia wants to buy costs $21,000. She does research and finds that after 14 years the car depreciates to a value of

zero. If the car depreciates in straight line form, write the straight line depreciation equation.

1 answer:

lozanna [386]2 years ago

5 0

Answer:

y=-1500x + 21000

Step-by-step explanation:

I =PRT

I = interest

P = principal

R = interest rate%

T = time

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De acuerdo con la tercera ley de movimiento planetario de Kepler, la masa de un planeta es directamente proporcional al cubo de

Sunny_sXe [5.5K]

Answer:

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

Step-by-step explanation:

Tras una lectura cuidadosa al enunciado, tenemos que la Tercera Ley de Kepler queda descrita por la siguiente relación:

$M \propto \frac{r^{3}}{T^{2}}$

$M = k\cdot \frac{r^{3}}{T^{2}}$ (Eq. 1)

Donde:

$r$ - Distancia entre los centros del planeta y el satélite, medido en kilómetros.

$T$ - Período oribital del satélite, medido en días.

$k$ - Constante de proporcionalidad, medida en kilogramo-días cuadrados por kilómetro cúbico.

$M$ - Masa del planeta, medida en kilogramos.

Podemos obtener la masa del Sol mediante la siguiente relación:

$\frac{M_{S}}{M_{E}} = \frac{\frac{r_{E}^{3}}{T_{E}^{2}} }{\frac{r_{M}^{3}}{T_{M}^{2}} }$

$\frac{M_{S}}{M_{E}} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}$ (Eq. 2)

Donde:

$T_{M}$ , $T_{E}$ - Períodos orbitales de la Luna y la Tierra, medidos en días.

$r_{E}$ , $r_{M}$ - Distancias entre la Tierra y el Sol, así como entre la Luna y la Tierra, medidas en kilómetros.

$M_{S}$ , $M_{E}$ - Masas del Sol y la Tierra, medidos en kilogramos.

Si $M_{E} = 75.97\times 10^{24}\,kg$ , $T_{E} = 365.3\,d$ , $T_{M} = 27.3\,d$ , $r_{M} = 3.84\times 10^{5}\,km$ y $r_{E} = 1.496\times 10^{8}\,km$ , entonces tenemos que la masa del Sol es:

$M_{S} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}\cdot M_{E}$

$M_{S} = \left(\frac{27.3\,d}{365.3\,d} \right)^{2}\cdot \left(\frac{1.496\times 10^{8}\,km}{3.84\times 10^{5}\,km} \right)^{3}\cdot (75.97\times 10^{24}\,kg)$

$M_{S} = 2.509\times 10^{31}\,kg$

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

7 0

3 years ago

The point (4,7) is on the graph of y=x^2+c. what is the value of c?

slamgirl [31]

Point is (4,7)
So y = 7 = 4^2 + c
c = 7 - 16
c = -9

7 0

3 years ago

Kevin is 4 times as old as Daniel and is also 6 years older than Daniel

MAXImum [283]

Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

<u><em>The question is </em></u>

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

$x=4y$ -----> equation A

$x=y+6$ ----> equation B

Equate equation A and equation B

$4y=y+6$

solve for y

$4y-y=6$

$3y=6$

$y=2$

therefore

Daniel's age is 2 years

<em>Find the value of x</em>

substitute the value of y in any of the two equations

$x=4(2)=8\ years$

$x=2+6=8\ years$

therefore

Kevin's age is 8 years

6 0

2 years ago

A quadrilateral has angles that measure 63°, 89° and 121°.

ikadub [295]

The measure of the fourth angel is 87°

5 0

3 years ago

THIS QUESTION IS WORTH 15 POINTS

ikadub [295]

Answer:

3.7

This means that the answer is past the 3 point on the number line and 3 tick marks before the 4 point.

5 0

2 years ago