Answer:
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.