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KatRina [158]
3 years ago
5

Mr. Peterson paid $1,020 in interest for a loan, which was given to him at a rate of 5% for 3 years. How much money did he borro

w originally?
Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer:

The amount of money originally borrowed by Mr. Peterson  is $6,800.

Step-by-step explanation:

Let us assume the money borrowed originally = P

Rate of interest  = 5%

Time = 3 years

S interest = $1020

Simple Interest  = \frac{P \times R \times T }{100}

Substituting the all values, we get:

1020 = \frac{P \times 5 \times 3 }{100}\\\implies P = \frac{102000}{15}  = 6,800

⇒  P = $6,800

Hence, the amount of money originally borrowed by Mr. Peterson  is $6,800.

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What is two numbers that when added equal 25 but when multiplied equal negative 200
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Well lets look at it lets find multiples that equal 200 when multiplied first to get rid of extra work 

so i just took a couple of guesses and lined them up 
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30 + 6.666666667 = 23.33333333
see not quite there almost 25 but not far enough 
so ill try to move the numbers around little by little. 
-200/29.5 = -6.779661017
29.5 + -6.779661017 = 22.72033898
okay honestly after i finished this trial i wasn't sure if i was thinking straight because i completely didnt think about which way i needed to go so now i pinched myself and this time we might head the right way lol
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so obviously we need to move up alittle more 
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HEY LOOK WE ARE ALMOST THERE!! lets try some more;)
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see we are at 25! but lets try to get rid of as many numbers behind it as possible.
-200/31.4 = -6.369426752
31.4 + -6.369426752 = 25.03057325
getting closer...
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what does this mean? this means we can go lower... sooo here we go 
-200/31.38 = -6.373486297
31.38 + -6.373486297 = 25.0065137
i guess we can try lower..
-200/31.37 = -6.375518011
31.37 + -6.375518011 = 24.99448199
wait! before you leave! try 31.379
-200/31.379 = -6.37368941
31.379 + <span>-6.37368941 = 25.00531059
</span>okay so yes, i am taking the very long way but good comes to those with patience:D lets try making the third place after the decimal a little bit lower
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31.377 + -6.374095675 = 25.00290432
yes we can take it lower so lets make it the best answer 
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31.376 + <span>-6.374298827 = 25.00170117
</span>i pray this be over soon^ lets try again....
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</span>okay im a perfectionist... sooo lets go lower
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</span>okay so we went to low on the third place. and of course i am moving to the fourth place...
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31.3749 + <span>-6.374522309 = 25.00037769
</span>okay we can move lower on that place....
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</span>lets try to move this along faster...
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31.3746 +<span> -6.374583262 = 25.00001674 
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31.3744 + <span>-6374623897 = 24.9997761 
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-200/31.37449 = -6.374605611
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<span>OMG DO YOU UNDERSTAND WHAT THIS MEANS!!?!?!
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