The sales tax rate in New Mexico is $$ 5.125 \% $$. Select all the equations that represent the sales tax, $$ t $$, you would pay in New Mexico for an item of cost $$ c $$ ? A. $$ t=5.125 c $$ B. $$ t=0.5125 c $$ C. $$ t=0.05125 c $$ D. $$ t=c \div 0.05125 $$ E. $$ t=\frac{5.125}{100} c $$

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UpStudy AI · Accepted Answer

We first convert the percentage into a decimal:

$$
5.125\% = \frac{5.125}{100} = 0.05125
$$

Thus the sales tax $$ t $$ on an item that costs $$ c $$ is given by:

$$
t = 0.05125 \, c
$$

Among the options provided:

- Option A: $$ t = 5.125\, c $$ (Incorrect, as it multiplies $$ c $$ by 5.125)
- Option B: $$ t = 0.5125\, c $$ (Incorrect, as it multiplies $$ c $$ by 0.5125)
- Option C: $$ t = 0.05125\, c $$ (Correct)
- Option D: $$ t = \frac{c}{0.05125} $$ (Incorrect, as it divides $$ c $$ by 0.05125)
- Option E: $$ t = \frac{5.125}{100}\, c $$ (Correct)

Therefore, the correct equations are:

$$
\text{Option C and Option E.}
$$
The correct equations are $$ t = 0.05125 \, c $$ and $$ t = \frac{5.125}{100} \, c $$, which are options C and E.

The sales tax rate in New Mexico is \( 5.125 \% \). Select all the equations that represent the sales tax, \( t \), you would pay in New Mexico for an item of cost \( c \) ? A. \( t=5.125 c \) B. \( t=0.5125 c \) C. \( t=0.05125 c \) D. \( t=c \div 0.05125 \) E. \( t=\frac{5.125}{100} c \)

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