Answer:
t = 11.7
Explanation:
r
A = P (1 + -------)^(nt)
n
A = 5000 = (2500 × 2)
P = 2500
n = 2
t = ?
0.06
5000 = 2500 (1 + ----------)^(2)(t)
2
0.06
5000 = 2500 (1 + ----------)^(2)(t)
÷2500 ÷2500 2
0.06
2 = (1 + ----------)^(2)(t)
2
0.06
log₁₀ 2 = log₁₀ (1 + ----------)^(2)(t)
2
0.06
log₁₀ 2 = 2t × log₁₀ (1 + ----------)
2
0.06 0.06
÷ log₁₀ (1 + ----------) ÷ log₁₀ (1 + ----------)
2 2
log₁₀ 2
----------------------------- = 2t
0.06
log₁₀ (1 + -------- )
2
log₁₀ 2
(1/2) ----------------------------- = 2t (1/2)
0.06
log₁₀ (1 + -------- )
2
(1/2) 23.44977225 = 2t (1/2)
11.72488613 = t
11.7 ≈ t
I hope this helps!