Mathematics, 01.10.2019 08:30 kaelycaetano66

The number of people playing a new phone app game triples every month. when the app first launched, 800 people started playing the game right away. there are currently 194,400 people playing the game. write an equation to represent this situation, and determine the number of months, t, that have passed since the app launched.

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Answer from: triddi666

$a_t=ar^{t-1}$

t=6 months

Step-by-step explanation:

We are given that the number of people playing a new phone app game triples every month

When the app first launch , the number of people started playing the game right away=800

According to question

The number of peoples are currently playing the game=194,400

We solve by using the formula of geometric series because we get a geometric series pattern

The number of people playing the game when app game launch=800

The number of people playing game after one month=2400

800,2400,7200,........,194,400

a_1=800,a_2=2400,a_3=7200,a_t=194,400

We are finding common ratio

$\frac{a_2}{a_1}=\frac{2400}{800}=3$

$\frac{a_3}{a_2}=\frac{7200}{2400}=3$

Hence, the common ratio is 3 therefor nth term of G.P

$a_t=ar^{t-1}$

a=800,r=3, a_t=194,400

Substitute the values then we get

$194,400=800(3)^{t-1}$

$\frac[194400}{800}=(3)^{t-1}$

$243=3^{t-1}$

$3^5=3^{t-1}$

When base are same on both side then the power are equals

Therefore, t-1=5

t=5+1=6

Hence, when there are 194,400 people currently playing the game then

the number of months ,t=6 that have passed since the app launched.

Answer from: Quest

answer: y=0 if that is what u r looking for

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

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The number of people playing a new phone app game triples every month. when the app first launched,...