The online game World of Warcraft has seen a decline in subscribers in recent years. The number of subscribers peaked in 2010 at 11.99 million; in 2015, this number had declined to 5.43 million. Suppose this decline follows the exponential law, and continues uninhibited. If N is the number of subscribers, m millions, and t is the time, in years, since 2010, then: 1. Find a function N that describes this decline.
2. What will the number of subscribers be in 2019?
3. In what year will the number of subscribers fall below 1, 500,000?

Kindly check explanation

Step-by-step explanation:

Given that:

Number of subscribers in 2010 = 11.99 million

Number of subscribers 2015 = 5.43 million

Let :

N = number of subscribers in millions

t = time in years

Exponential function which describes this decline :

N(t) = No×e^kt

Solve for k at t = 5

11,990,000 = 11,990,000 × e^k*0

5,430,000 = 11,990,000 × e^5k

0.4528773 = e^5k

In(0.4528773) = In(e^5k)

−0.792134 = 5k

k = −0.792134 / 5

k = −0.158426

What will the number of subscribers be in 2019?

In 2019

t = (2019 - 2010) = 9

N(t) = 11,990,000×e^(−0.158426*9)

= 11,990,000 * e^(−1.425841)

= 11,990,000 × 0.2403062

= 2,881,511.5 = 2,881,511

3. In what year will the number of subscribers fall below 1, 500,000?

N(t) = No×e^kt

1,500,000 = 11,990,000 × e^(−0.158426*t)

0.1251042 = e^(−0.158426*t)

In(0.1251042) = In(e^(−0.158426*t))

−2.078607 = 0.158426*t

t = (−2.078607 / 0.158426)

t = −13.12036

After 13.12036 years

2010 + 14 = 2024

answer: the area of the parallelogram below is 42 square meters.

- officialprodixy ☕

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.