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blagie [28]
3 years ago
13

What is the difference? 5/3-1/2A. 4B. 7C. 7/6D. 7/0 = undefined

Mathematics
1 answer:
Fofino [41]3 years ago
5 0
The answer is:  [C]:  " ⁷/₆ " .
____________________________________
  Note:
____________________________________
   (5/3) - (1/2) = ? ;
____________________________________
The LCD (lowest common denominator) of "2 and 3" is "6" ;

So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
____________________________
 (5/3) = (?/6) ?  ;  (6÷3=2) ;  (5/3) = (5*2)/(3*2) = 10/6 ;
____________________________
(1/2) = (?/6) ? ; (6÷2=3) ;  (1/2) = (1*3)/(2*3) = 3/6 ;
____________________________
Rewrite the problem:   "    (5/3) - (1/2) " ;  as:
____________________________
   10/6 - 3/6  ;
____________________________________________
    10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
____________________________________________
The answer is:  " ⁷/₆ " ;  or, write as:   " 1 ⅙ " ; which corresponds to: 
______________________________________________________
Answer choice:  [C]:  " ⁷/₆ " .
____________________________________________
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Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
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The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

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∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

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→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

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