The Panthers team won exactly 2 of its first 9 games. By winning all its remaining N games, the panthers ended with victories in exactly half of the games played. What does N represent?

N represent 5 games

Step-by-step explanation:

Firstly, we need to get the total number of games. From the information given, the total number of games is 9 + N = (9 + N) games

The total number of games won is (2 + N) games and this is exactly half of the total number of games.

This mathematically means

2(2 + N) = (9 + N)

4 + 2N = 9 + N

2N - N = 9 - 4

N = 5 games

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: