CPhill

(6,-6): slope = 5/6

I assume you want to write an equation of this line...we have....

y = (5/6) (x −  6 )  −  6     simplify

y = (5/6)x  − 5   − 6

y = (5/6)x  − 11

The value of the car now = 21450 ( 1 − .037)^5    ≈   $ 17764.73

(3x^2)^-1  = 1 / (3x^2)

8^-5  =  1/ 8⁵  =  1/ 32768

I'll give you some hints

1. y = 4x - 10

    y = 5 - x           set the y's equal

 4x - 10  = 5 - x        can you take it from here???

3.   y = 9 - 2x

    3y - 2x = 11      put the first equation into the second for y

3[ 9 - 2x]  = 11

27 - 6x  = 11        now....it should be easy......

Try  2  for yourself....it is similar to 3

LOL, EP.....!!!!

8/ −2  = −4    

−32 / 8 = − 4     ......... so....it appears that the ratio between terms  = − 4

So.....

D. a_n = -4 • a_n-1    is corrrect

Since  "n" was small....we could have maybe have used  "guess and check"  for n  = 1, 2, 3, 4, etc.   .....however......this is great "hindsight".....LOL!!!!

Landon opened a savings account with a deposit of $3,786.45. Nine years later, the balance in the account is $5,135.29. If the interest rate is 3.4%, how often does the interest compound?

5135.29 = 3786.45 (1 + .034/ n ) ^[9n]    

I think this might be difficult to solve, algebraically  [ but, I'm not sure......!!!! ]

WolframAlpha shows the answer to be n  = 4   [ quarterly compounding]

Proof :  3786.45 (1 + .034/ 4 ) ^[9*4]  ≈  5135.29  

P = 435410 ( 1 − .061)^8   ≈  263162