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受欢迎的代数 >

solvefor n,(0.03)/(500)*(9000)=(1+0.03)^n-1

解答

求解

n, \frac{0.03}{500} \cdot (9000) = (1 + 0.03)^{n} - 1

解答

n = \frac{ln ( \frac{77}{50} )}{ln ( 1.03 )}

+1

十进制

n = 14.60757 \dots

求解步骤

\frac{0.03}{500} (9000) = (1 + 0.03)^{n} - 1

交换两边

(1 + 0.03)^{n} - 1 = \frac{0.03}{500} \cdot 9000

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

(1 + 0.03)^{n} - 1 = \frac{0.03 \cdot 9000}{500}

数字相乘:

0.03 \cdot 9000 = 270

(1 + 0.03)^{n} - 1 = \frac{270}{500}

约分:

10

(1 + 0.03)^{n} - 1 = \frac{27}{50}

将

1

到右边

(1 + 0.03)^{n} = \frac{77}{50}

使用指数运算法则

n ln (1 + 0.03) = ln (\frac{77}{50})

解

n ln (1 + 0.03) = ln (\frac{77}{50}) : n = \frac{ln ( \frac{77}{50} )}{ln ( 1.03 )}

n = \frac{ln ( \frac{77}{50} )}{ln ( 1.03 )}

作图

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