Answered

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Which of the following facts did you include in your answer?

A. The student did not distribute properly to get [tex]\( A = P + Prt \)[/tex].

B. The equation can be fixed by putting a factor of [tex]\( P \)[/tex] in the denominator: [tex]\( r = \frac{A - P}{Pt} \)[/tex].

Sagot :

GinnyAnsweridn
To solve for the interest rate [tex]\( r \)[/tex], let's examine the provided information and the corrected equation.

The initial incorrect attempt was:

[tex]\[ A = P + \operatorname{Pr} t \][/tex]

To correct this equation, we need to properly distribute the product and correctly express [tex]\( r \)[/tex]:

[tex]\[ A = P + P \cdot r \cdot t \][/tex]

Rearranging this equation to isolate [tex]\( r \)[/tex]:

[tex]\[ A - P = P \cdot r \cdot t \][/tex]

Now, solve for [tex]\( r \)[/tex] by dividing both sides of the equation by [tex]\( P \cdot t \)[/tex]:

[tex]\[ r = \frac{A - P}{P \cdot t} \][/tex]

Assuming we applied all the given information correctly, upon solving this equation, we find that the interest rate [tex]\( r \)[/tex] evaluates to 2.
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