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jarptica [38.1K]
2 years ago
15

To take out a loan from A bank charges an interest rate of 1.5% of the loan plus a 25 processing fee if the bank charge mr. Hern

andez a total of $34 for a long how much did mr. Hernandez borrow
Mathematics
1 answer:
erica [24]2 years ago
3 0

Answer:

<u>$600</u>

Step-by-step explanation:

The costs associated with the loan is:

$25 processing fee

1.5% interest, or, 1.5/100 = 0.015 of Loan

Total charge is given as $34, subtracting processing charge:

34 - 25 = $9 for interest

We now want:

What amount (loan amount we are looking for)'s 1.5% is $9??

We can say the amount to be "x", so we can write:

x*0.015=9

Hence, x is:

x*0.015=9\\x=600

<u>Hence, Mr. Hernandez took a loan of $600</u>

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4 0
2 years ago
Simplify.<br> √20⋅√3·√18<br><br> 5√30<br><br> 5√10<br><br> 6√10<br><br> 6√30
ddd [48]

The correct answer is:   [D]:  " 6√30 " .


_____________________________________


Explanation:


_____________________________________


Simplify:   " √20 ⋅ √3 · √18 " :


___________________________


Step 1)  Simplify the "first term" :

"√20  " = √4 √5 = 2√5  ;


___________________________


Step 2):  Consider the "second term:  

                  "√3 " = √3  (already simplified); 


___________________________


Step 3)  Simplifly the "third term" :

" √18  "  =  √9 * √2 =  " 3√2 " ;


____________________________

We have:  " 2√5 * √3 * 3√2 " ;

                 =   (2* 3) *  (√5 * √3 * √2) ;

                 =  6 * (√5 √3 √2)  ;

Note:  " (√5 * √3 * √2 )"  =   " √(5 * 3 * 2) "  =  " √ 30 " .

So:    " 6 * (√5 * √3 * √2)  =

______________________________________

          →   " 6 √30 " .

______________________________________

The answer is:  " 6√30 " ;

       →  which is:  "Answer choice:  [D]:  " 6√30 " .

_____________________________________

Hope this answer helps!

Best wishes!

_____________________________________

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