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riadik2000 [5.3K]
3 years ago
5

Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why?? a.Holly

is correct. Repeating decimals are always rational numbers. b.Holly is correct. The number is positive and all positive numbers are rational. c.Holly is incorrect. The decimal does not terminate, so it cannot be a rational number. d.Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Mathematics
2 answers:
Leni [432]3 years ago
7 0

Answer:

A. Holly is correct. Repeating decimals are always rational numbers.

Step-by-step explanation:

Rational number is the subset of:

  • Whole number (Positive integer + 0)
  • Natural number
  • Negative integers
  • Fractions
  • Decimals (Whether positive or not, whether terminating or non terminating)

Hope this helps ;) ❤❤❤

Dennis_Churaev [7]3 years ago
5 0

Answer:

Holly is incorrect. The decimal part follows a pattern but does not actually repeat.

so D is the correct option

Step-by-step explanation:

The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there a rational number.

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3 years ago
Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%
Alex787 [66]
The answer is:  "2.5 years" . 
___________________________________________________
  Note:   I = P * r * t  ;    { " Interest = Principal * rate * time "} ; 

          →     Solve for "t" {"time", in years} ;  

Divide each side of the equation by "{P * r}"  ;  
   to isolate "t" on one side of the equation ;

→  I / (P * r)  = {P * r * t) / (P * r} ; 

to get:  " I / (P * r) = t " ;  

  ↔  t = I / (P * r) ; 

Given:  I = $450 ;  
  
            <span>P = $2400 ; 

            r = 7.5% = 7.5/100 = 0.075 ; 

Plug in these values into the formula to solve for the time, "t" :

        </span>→  t  =  I  /  (P  *  r )   ;  

                 =  $450  /   (<span>$2400 * 0.075) ;

                 =  </span>$450  /   ($2400 * 0.075) ;

                 =  $450 / $180 ; 

                 =  $45 / $18 ; 

                 =  ($45 ÷ 9) / ($18 ÷ 9) 

                 =  $5 / $2 ; 

                 =  2.5  ; 

        →  t  =  2.5 years.
_______________________________________________________
The answer is:  "2.5 years" . 
_______________________________________________________
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3 years ago
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