If you deposit $6000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?

It will take 4.4 years to gain $8000.

Step-by-step explanation:

Substitute the values in the formula.  

A = P (1+r/n) nt                    8000 = 6000 (1+0.06/12) 12t  

Use BEDMAS (order of operations) and solve the value in the brackets.

8000 = 6000 (1.005) 12t

Divide both sides by 6000  

1.3 = (1.005) 12t

Take the logarithm of both sides.  

log (1.3) = log (1.005) 12t

Include the exponent in the equation.

log (1.3) = (12t) (log 1.005)  

Divide both sides by log 1.005.

(log⁡(1.3))/(log⁡(1.005)) = 12t

Find out the log.  

52.6039 = 12t  

Divide both sides by 12.  

4.4 = t  

I'm attaching a word document where everything is organized.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.