Question

exceeding: the formula for force is f = ma where f is the force, m is mass, and a is acceleration. rearrange the formula to find m. then, find the mass when f = 20 and a = 4. the formula for simple interest is i = prt where i is the interest, p is initial money, r is rate, and t is the time. rearrange the formula to find p. then, find the initial money when i = 200, r = 4, and t = 5.

Explanation:

Step1: Rearrange the formula \( F = ma \) for \( m \)

Divide both sides of the equation \( F = ma \) by \( a \).

$$ m=\frac{F}{a} $$

Step2: Substitute \( F = 20 \) and \( a = 4 \) into the formula for \( m \)

$$ m=\frac{20}{4} $$

$$ m = 5 $$

Step3: Rearrange the formula \( I=Prt \) for \( P \)

Divide both sides of the equation \( I = Prt \) by \( rt \).

$$ P=\frac{I}{rt} $$

Step4: Substitute \( I = 200 \), \( r = 4 \), and \( t = 5 \) into the formula for \( P \)

$$ P=\frac{200}{4\times5} $$

First, calculate \( 4\times5=20 \).
Then, \( P=\frac{200}{20} \)

$$ P = 10 $$

Answer:

For the force formula: \( m=\frac{F}{a} \), and when \( F = 20 \) and \( a = 4 \), \( m = 5 \).
For the simple - interest formula: \( P=\frac{I}{rt} \), and when \( I = 200 \), \( r = 4 \), and \( t = 5 \), \( P = 10 \).