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A=3.5(-88+m)
The amount,
A, in dollars, earned for lending a stock on margin and holding it for
m months is given by the equation. How many months of holding are needed for the earnings to be 0 dollars?

$A=3.5(-88+m)$ $\newline$ The amount, $A$ , in dollars, earned for lending a stock on margin and holding it for $m$ months is given by the equation. How many months of holding are needed for the earnings to be $0$ dollars?

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Write exponential functions: word problems

Full solution

Q.

A=3.5(-88+m)

\newline

The amount,

A

, in dollars, earned for lending a stock on margin and holding it for

m

months is given by the equation. How many months of holding are needed for the earnings to be

0

dollars?

Given Equation: We are given the equation $A = 3.5(-88 + m)$ , where $A$ represents the amount earned in dollars and $m$ represents the number of months the stock is held. We want to find the value of $m$ when $A$ is $0$ dollars.
Set A equal: Set A equal to $0$ to find the number of months needed for the earnings to be $0$ dollars: $0 = 3.5(-88 + m)$ .
Divide and Isolate: Divide both sides of the equation by $3.5$ to isolate the term inside the parentheses: $\frac{0}{3.5} = -88 + m$ .
Simplify Equation: Since $0$ divided by any non-zero number is $0$ , the equation simplifies to: $0 = -88 + m$ .
Add $88$ : Add $88$ to both sides of the equation to solve for $m$ : $0 + 88 = m$ .
Final Solution: The equation simplifies to: $88 = m$ . This means that $88$ months of holding are needed for the earnings to be $0$ dollars.

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