Answer :
- Rewrite the percentage as a decimal: $6\% = 0.06$.
- Interpret '&' as multiplication and rewrite the equation: $0.06 \, ap = pz \times v$.
- Divide both sides by $pz$ to isolate $v$: $v = \frac{0.06 \times ap}{pz}$.
- State the final answer: $v = \frac{0.06ap}{pz}$.
### Explanation
1. Understanding the Problem
We are given the equation $6 \% \times$ ap $= pz$ & v and asked to solve for v. Let's analyze the equation and make necessary assumptions to proceed with the solution.
2. Rewriting the Equation
First, we need to interpret the symbols. The symbol '$\times$' represents multiplication. 'ap' and 'pz' are variables. The symbol '&' is ambiguous, but in the context of solving for $v$, it is most likely intended to represent multiplication as well. Also, $6\%$ is equivalent to $0.06$. Therefore, we can rewrite the equation as:$$0.06 \, ap = pz \times v$$
3. Isolating v
To isolate $v$, we need to divide both sides of the equation by $pz$. Assuming $pz \neq 0$, we get:$$\frac{0.06 \times ap}{pz} = v$$Therefore, $$v = \frac{0.06 \times ap}{pz}$$
4. Final Answer
Thus, the solution for $v$ is:$$v = \frac{0.06ap}{pz}$$
### Examples
In physics, if you have a formula relating force, mass, and acceleration, and you need to find the acceleration given the force and mass, you would rearrange the formula to solve for acceleration. Similarly, in finance, if you have an equation relating interest, principal, and time, and you need to find the time, you would rearrange the formula to solve for time. This skill of rearranging equations is fundamental in many quantitative fields.
- Interpret '&' as multiplication and rewrite the equation: $0.06 \, ap = pz \times v$.
- Divide both sides by $pz$ to isolate $v$: $v = \frac{0.06 \times ap}{pz}$.
- State the final answer: $v = \frac{0.06ap}{pz}$.
### Explanation
1. Understanding the Problem
We are given the equation $6 \% \times$ ap $= pz$ & v and asked to solve for v. Let's analyze the equation and make necessary assumptions to proceed with the solution.
2. Rewriting the Equation
First, we need to interpret the symbols. The symbol '$\times$' represents multiplication. 'ap' and 'pz' are variables. The symbol '&' is ambiguous, but in the context of solving for $v$, it is most likely intended to represent multiplication as well. Also, $6\%$ is equivalent to $0.06$. Therefore, we can rewrite the equation as:$$0.06 \, ap = pz \times v$$
3. Isolating v
To isolate $v$, we need to divide both sides of the equation by $pz$. Assuming $pz \neq 0$, we get:$$\frac{0.06 \times ap}{pz} = v$$Therefore, $$v = \frac{0.06 \times ap}{pz}$$
4. Final Answer
Thus, the solution for $v$ is:$$v = \frac{0.06ap}{pz}$$
### Examples
In physics, if you have a formula relating force, mass, and acceleration, and you need to find the acceleration given the force and mass, you would rearrange the formula to solve for acceleration. Similarly, in finance, if you have an equation relating interest, principal, and time, and you need to find the time, you would rearrange the formula to solve for time. This skill of rearranging equations is fundamental in many quantitative fields.
