an investor has $24,000 in an investment account and is making another deposit. the investor would like the…

an investor has $24,000 in an investment account and is making another deposit. the investor would like the ratio of the deposit, $x$, to the total investment after the deposit to be $\frac{1}{8}$. which equation can find the amount the investor needs to deposit to meet this goal? $\frac{1}{8}=\frac{24,000}{x}$ $\frac{1}{8}=\frac{x}{24,000}$ $\frac{1}{8}=\frac{x}{24,000 + x}$ $\frac{1}{8}=\frac{24,000 + x}{x}$

an investor has $24,000 in an investment account and is making another deposit. the investor would like the ratio of the deposit, $x$, to the total investment after the deposit to be $\frac{1}{8}$. which equation can find the amount the investor needs to deposit to meet this goal? $\frac{1}{8}=\frac{24,000}{x}$ $\frac{1}{8}=\frac{x}{24,000}$ $\frac{1}{8}=\frac{x}{24,000 + x}$ $\frac{1}{8}=\frac{24,000 + x}{x}$

Answer

Explanation:

Step1: Identify total investment

The initial investment is $24000$ and the new - deposit is $x$. So the total investment after the deposit is $24000 + x$.

Step2: Set up the ratio equation

The investor wants the ratio of the deposit $x$ to the total investment after the deposit ($24000 + x$) to be $\frac{1}{8}$. So the equation is $\frac{1}{8}=\frac{x}{24000 + x}$.

Answer:

$\frac{1}{8}=\frac{x}{24000 + x}$