7. i need with question in the attached picture!

The answer is approximately 3 years ⇒ answer B

Step-by-step explanation:

* Lets talk about the compound continuous interest  

- Compound continuous interest can be calculated using the formula:  

 A = P e^rt  

# A = the future value of the investment, including interest  

# P = the principal investment amount (the initial amount)

# r = the interest rate  

# t = the time the money is invested for  

- The formula gives you the future value of an investment,  

  which is compound continuous interest plus the

  principal.  

- If you want to calculate the compound interest only, you need  

 to deduct the principal from the result.  

- So, your formula is:

 Compounded interest only = Pe^(rt)  - P

* Now lets solve the problem

∵ P = $ 6000

∵ A = $ 8000

∵ r = 9/100 = 0.09

∵ t = ?  

∵ A = P e^(r t)

∴ 8000 = 6000 e^(0.09 × t) ⇒ divide both sides by 6000

∴ 4/3 = e^(0.09 × t) ⇒ insert ㏑ for both sides

∴ ㏑(4/3) = ㏑ e^(0.09 × t) ⇒ (㏑e = 1)

∴ ㏑(4/3) = 0.09 t ⇒ divide the both sides by 0.09

∴ t = [㏑(4/3)] ÷ 0.09 = 3.196467 ≅ 3 years

the answer to this question is in the pic

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (