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rusak2 [61]
3 years ago
5

Drake's sister Stephanie is 2 years younger than him. If the sum of Drake's age and 2 times Stephanie's age is 98, how old is St

ephanie?
Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

S=32 D=34

Step-by-step explanation:

{-----------------VARIABLES------------}

D=Drake

S=Stephanie

TA=Total Age

{----------------GIVEN/EQUATIONS-------------}

D=S+2

TA=D+2s

{--------------SUB/SOLVE---------------}

98=D+2S

SUB FOR D

98=3S+2

96=3S

S=32

D=S+2

D=34

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UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA
Fofino [41]

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

      = A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

5 0
2 years ago
Use the interactive tool to graph the line given the following information:     coordinates (1,–3)     slope of –2 Based on your
aleksklad [387]
The line can be written in the form y=mx+b. Plugging -2 in for m , 1 in for x, and -3 in for y, we get -3=-2*1+b=-2+b. Adding 2 to both sides, we get b=-1 and our equation turns into y=-2x-1 since y and x stay variables. Plugging it into a graphing calculator, we get in (0,b) that b = -1
8 0
3 years ago
Read 2 more answers
Can i please have some help??
Sliva [168]

Answer:

No solution

Step-by-step explanation:

When lines are parallel, they do not intersect and they do not have a solution.

Thank You

Hope it helps u

3 0
3 years ago
Solve this equation. the answers are listed below
madreJ [45]
The answer to the equation is 6
5 0
3 years ago
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
grandymaker [24]

Answer: 131 magazines per hour

Step-by-step explanation:

Peggy delivered 328 magazines in 2.5 hours.

To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:

= Magazines / Time in hours

= 328 / 2.5

= 131 magazines per hour

3 0
2 years ago
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