N(t)=(10(5+3t))/(1+0.04t)

解

N (t) = \frac{10 ( 5 + 3 t )}{1 + 0.04 t}

t = \frac{- N + 30 + N ^{2} - 52 N + 900}{0.08 N}, t = \frac{- N + 30 - N ^{2} - 52 N + 900}{0.08 N}; N \neq = 0

解答ステップ

N (t) = \frac{10 ( 5 + 3 t )}{1 + 0.04 t}

以下で両辺を乗じる:

1 + 0.04 t

Nt (1 + 0.04 t) = 10 (5 + 3 t)

解く

Nt (1 + 0.04 t) = 10 (5 + 3 t) : t = \frac{- N + 30 + N ^{2} - 52 N + 900}{0.08 N}, t = \frac{- N + 30 - N ^{2} - 52 N + 900}{0.08 N}; N \neq = 0

t = \frac{- N + 30 + N ^{2} - 52 N + 900}{0.08 N}, t = \frac{- N + 30 - N ^{2} - 52 N + 900}{0.08 N}; N \neq = 0