Need plz .you have $2500 to invest in two different accounts. in order to save the money you need for college, you need to average 7% interest. if the two accounts pay 7.5% and 6% interest, how much should you invest in each account? round to the nearest dollar amount.

a)$1667 in 7.5%, $833 in 6%

b)$1833 in 7.5%, $667 in 6%

c)$667 in 7.5%, $1833 in 6%

d)$833 in 7.5%, $1667 in 6%

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

You need to average 7% interest.

initial investment = $2500

7% of $2500 = × 2500  ⇒ (0.07 ) × (2500) ⇒ $175

so the combined interest from both accounts should be $175

Checking options:

A)$1667 in 7.5%, $833 in 6%                      ∵ 7.5 % = 0.075  

(1667 × 0.075) + (833 × 0.06)                             6 % = 0.06

125.025 + 49.98 ⇒ 175.005

B) $1833 in 7.5%, $667 in 6%

(1833 × 0.075) + (667 × 0.06)

137.475 + 40.02 ⇒ 177.495

C)$667 in 7.5%, $1833 in 6%

(667 × 0.075) + (1833 × 0.06)

50.025 + 109.98 ⇒ 160.005

D)$833 in 7.5%, $1667 in 6%

(833 × 0.075) + (1667 × 0.06)

62.475 + 100.02 ⇒ 162.495

Option A is the closest to average7% interest of $2500, which is $175.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this