Jane needs $9000 to buy a new car in four years. how much should she deposit at the end of each month into an account that earns 6% interest compounded monthly? a) $211.37 b) $147.00 c) $129.38 d) $166.37

  a)  $166.37

Step-by-step explanation:

The amount in the account is the sum of 4·12 = 48 terms of a geometric sequence with first term P (the deposit value) and common ratio (1 + r/12). Using the formula for that sum, we have ...

  sum = P·((1 +r/12)^48 -1)/(r/12) . . . . . for interest rate r = .06 and sum = 9000.

  9000 = P(1.005^48 -1)/.005

  9000·0.005/(1.005^48 -1) = P ≈ $166.37

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.