Compound Interest Formula

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  • Опубліковано 12 лют 2016
  • Learn the Compound Interest Formula in this free math video by Mario's Math Tutoring.
    0:05 Formula for Calculating Compound Interest
    0:38 Example 1 $5000 at 8% Compounded Quarterly After 2 Years
    2:03 Example 2 Calculating Time for the Principal to Double
    2:50 Using Logarithms to Solve for Time
    3:25 Using Change of Base Formula
    Related Videos:
    Calculating Compound Interest Compounding Continuously
    • Compounding Continuous...
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КОМЕНТАРІ • 214

  • @MariosMathTutoring
    @MariosMathTutoring  5 років тому +35

    If you liked this video be sure to check out the one I did here on COMPOUNDING CONTINUOUSLY: ua-cam.com/video/dFsBfi9W7sQ/v-deo.html

    • @alfredojascencio5374
      @alfredojascencio5374 4 роки тому +1

      Thank you. You helped me more than my teacher

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +2

      Glad my video helped you with compound interest Alfredo!

    • @hannahhirshland6103
      @hannahhirshland6103 4 роки тому

      Mario's Math Tutoring I was wondering what you plugged into the calculator ?

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +1

      You can either do it in steps by following the order of operations PEMDAS or you can use lots of parenthesis and put it in all at once.

    • @hemavathi5771
      @hemavathi5771 3 роки тому

      Hello I'm a student From Malaysia... I need some help. Can i get your contact. Thank you

  • @liliaayari
    @liliaayari 3 роки тому +167

    i was on the verge of a mental breakdown thank you-

  • @KhasAdun1990
    @KhasAdun1990 Рік тому +39

    Holy cow dude in less than two minutes you've taught me how to do my math homework and I don't have to take notes on a 30 minute video, thank you!

  • @nouneedasandwich8987
    @nouneedasandwich8987 5 місяців тому +7

    Actually an amazing simple man, the world needs more people like him

  • @unicargspatjy
    @unicargspatjy 2 роки тому +5

    sorry, how do u compute for the last equation 5000(1.02) to the 8th power??

  • @aalcaide7
    @aalcaide7 5 років тому +57

    Beautiful :D I needed a refresher. Thanks, dear teacher!

  • @sweetann9338
    @sweetann9338 4 роки тому +11

    After looking at multiple examples and the textbook provided by school, this video is the only thing that helped me understand what to do-thank you!

  • @bbtbekele2294
    @bbtbekele2294 5 років тому +1

    Thank you all the teams rely i got the exact and clear understanding from your stereotype lessons.

  • @aaronchen331
    @aaronchen331 Рік тому

    I love you man your voice is so soothing

  • @therookpiece
    @therookpiece 6 років тому +26

    Explained very simply. Thanks :-)

  • @geeslim
    @geeslim Рік тому

    This was so helpful! My textbook said to do the regular interest formula the same number of times you compound. That was cool until one of the problems was biannual compounding for 22 years....

  • @parkerflis551
    @parkerflis551 5 років тому +1

    very well explained! thank you!!

  • @cakee3468
    @cakee3468 Рік тому +3

    I have a question: what do you do in the last step with the calculator? Do you multiply?divides? I can’t seem to figure it out.

  • @vpktrax
    @vpktrax 2 роки тому +3

    Awesome Tutorial!! Love your teaching style! Keep up the awesome work!! Cheers & Happy Holidays! 💫🎄

  • @togglefire3537
    @togglefire3537 2 роки тому +2

    See teachers it's not that hard to be able to condense a complex and difficult thing to understand into a short 2 minute lecture. And if you had taught me this in math class I wouldn't be having troubles with my finances now.
    I wish you were my teacher sir thank you.

  • @purushottamnaidumududla2821
    @purushottamnaidumududla2821 5 років тому

    Thank you it's now easy to me

  • @isiahdruelinger1415
    @isiahdruelinger1415 4 роки тому +6

    Thank you so much Dude I have one day till the end of the semester and this helped a lot

  • @wilbarrett205
    @wilbarrett205 Рік тому

    quick question - i have a final exam tommorow how did you get the 4 x 2? Please respond quickly
    thanks

  • @toni-de
    @toni-de 8 місяців тому +1

    Thanks for the video. What if you add the interest compounded to the principal every time? What's the formula for that?

  • @pankajjorwal2213
    @pankajjorwal2213 3 роки тому +1

    Explained it quickly and it was easy to understand 😊

  • @riteshawasthi5530
    @riteshawasthi5530 2 роки тому

    It's really useful for me so thank you so much

  • @mukeshprasadassistantvigil6021
    @mukeshprasadassistantvigil6021 4 роки тому

    Thanks, Explanation was clear to understand

  • @zwevy8149
    @zwevy8149 3 роки тому +2

    Super video! I applauded for £50.00 👏👏👏

  • @Judax666
    @Judax666 Рік тому

    how did u get the raise to the power of 4.2?

  • @goofyshorts5508
    @goofyshorts5508 Рік тому

    Thanks for helping me brush off the cobwebs. I had no idea back in middle school that, I would eventually use these formulas.

  • @jazming40
    @jazming40 Рік тому

    explained so simple. thank you!

  • @bestflower9900
    @bestflower9900 5 років тому +1

    Thanks , great explanation

  • @n.1832
    @n.1832 9 місяців тому

    Can you make a video of that example without using calculator please. Thank you!

  • @jagdishprasad6916
    @jagdishprasad6916 3 роки тому +1

    Sir wonderful teaching

  • @itsmrrajput6874
    @itsmrrajput6874 4 роки тому +1

    Thank you explanation was clear 😊

  • @dg2pro95
    @dg2pro95 2 роки тому

    thank u sir that was explained very nicely

  • @delaney6110
    @delaney6110 4 роки тому +1

    Thanks this helped a lot

  • @oltratube
    @oltratube Місяць тому

    Does that mean the total amount earned is directly proportional to how often in a year the amount is compounded

  • @cattiegagan
    @cattiegagan 6 років тому

    very well explained. Thanks sir

  • @kiryaxley4603
    @kiryaxley4603 2 роки тому

    How do u do yearly

  • @ARCSTREAMS
    @ARCSTREAMS 4 роки тому

    so quarterly means they are paying this interest every quarter right,,,but simply putting 4 sounds wrong ,i thought it should be .25 or 365/4=91.25 but since t=2 then maybe that is why you used 4? idk but i know if its calculated daily then daily then n=366 and t=1?

  • @WillCastle
    @WillCastle 3 роки тому +3

    Can you please tell me what the 1 in the compound formula means? 100% of the original amount deposited??

    • @dylanli1474
      @dylanli1474 3 роки тому

      9 months late, but the 1 means that you're adding onto what you deposited. If you multipled 100, by say, 5%, 0.05, youd get, 5 dollars. If you multiply by 1.05, youd get 105, so youre gaining money not losing any

  • @chrissystewart6268
    @chrissystewart6268 Рік тому

    Hello this is my first time learning this so I'm ready to learn sir 😊

  • @barbiegirl1824
    @barbiegirl1824 2 роки тому

    Very helpful💕💕

  • @kpmj112
    @kpmj112 3 роки тому +6

    You just saved a 7th grader, thank you so much

  • @lucasrendo3380
    @lucasrendo3380 Рік тому +1

    you just saved my maths assignment👍

  • @doralemnuevo8984
    @doralemnuevo8984 3 роки тому

    Thank you sir for simple and clear explanation

  • @premchand1manju
    @premchand1manju 5 років тому +1

    Thank you so much , Sir. 😄

  • @je5543
    @je5543 Рік тому +1

    My exam is so near. Watching this help me to recall the concept

  • @swalter36
    @swalter36 2 роки тому +1

    All under two mins, stupendous. Next time show the final math for the icing on the cake, some folks don't know order.

  • @LitFox_24
    @LitFox_24 2 роки тому

    tysm it helped me out

  • @silvanamatias2
    @silvanamatias2 4 роки тому +1

    does anybody know how much will be the N if the investment is 6 months on the acc? The account pays 5% monthly, however, is for 6 months, do you multiply 12x2 or 12/2?

    • @swalter36
      @swalter36 2 роки тому

      12/6 so it will be 6

  • @darkwaveknight9751
    @darkwaveknight9751 5 років тому +11

    Aww I’m so stupid I can’t understand anything, can you please explain. Thanks for your effort though!!

  • @LittleMaoAndBrotherHao
    @LittleMaoAndBrotherHao 4 місяці тому

    This is the only video that helped me understand 😭 THANK YOU

  • @user-bv2qp6uz3l
    @user-bv2qp6uz3l 4 місяці тому

    If my answer is in decimal can I round up if necessary ?

  • @abunchofsmallaliens7250
    @abunchofsmallaliens7250 4 роки тому

    Very rad, thank you

  • @talia148
    @talia148 Місяць тому

    What would u divide it by if it’s not quarterly but annually ?

  • @abieelbaz5220
    @abieelbaz5220 Рік тому

    I love you mario

  • @rudrakshyarout1426
    @rudrakshyarout1426 2 роки тому +1

    Fabulous elucidation

  • @chanchalkashyap6097
    @chanchalkashyap6097 10 місяців тому

    Thankyou sir , you clear my all confusion 😊

  • @alicial4857
    @alicial4857 2 роки тому

    You saved my grade just now.

  • @ishratbatt7613
    @ishratbatt7613 5 років тому

    Nice ...make some trick for competition

  • @E.h.a.n
    @E.h.a.n 3 місяці тому

    thank you, that one statement about finding the % per quarter and multiplying that by the number of quarters cleared everything up

  • @djwjjixk250
    @djwjjixk250 2 дні тому

    thank you very much

  • @bodanlunny1323
    @bodanlunny1323 2 роки тому

    Thank

  • @ColinB005
    @ColinB005 2 роки тому

    Thanks my math teacher just throws us a packet and says nothing snd i have a test tomorrow. I just learned thanks to u so thanks 👍🏼

    • @guinereyes2463
      @guinereyes2463 2 роки тому

      Same, dafuk that teacher who only gives Activities but not teaching

  • @kumbiraiishemadzorera4930
    @kumbiraiishemadzorera4930 4 роки тому +3

    video is straight to the point and very simple to understand.

  • @peterpetrovski8053
    @peterpetrovski8053 5 років тому +1

    This was super helpful! Thank you

  • @bhavikupadhyaya972
    @bhavikupadhyaya972 5 років тому +1

    Thank you from what my professor put on the test study guide this video helped

  • @corvinanderson4731
    @corvinanderson4731 Рік тому

    thank you now i can pass my test

  • @woad2562
    @woad2562 4 роки тому +9

    quality education delivered quickly and to the point. my thanks, sir.

  • @isaamthalhath4359
    @isaamthalhath4359 5 років тому

    Do you know from where i can get finance lessons from Arun Jaitely

  • @ohididntseeyouthere2489
    @ohididntseeyouthere2489 2 роки тому +1

    This isn't the formula my teach taught me but if it works it works. Her problem now, all I care about is that my homework is done

  • @mimimikesimp
    @mimimikesimp 3 місяці тому

    THANK YOU OH MY GOD I WAS LITERALLY SOO CONFUSED 😭😭

  • @ncabw
    @ncabw 4 місяці тому

    Bro was sent by heaven

  • @ericceuca1430
    @ericceuca1430 3 роки тому

    i have to do this in 6th grade, great

  • @faisalkhalidjeddahboys1960
    @faisalkhalidjeddahboys1960 3 місяці тому

    Sir i am a big fan and your subscriber.What does the 4.2 means on the top is it yeara or quaters i like your videos allah bless you ameen

  • @notnormal419
    @notnormal419 Рік тому +1

    I'm here to properly prepare for a unit test

  • @shamaniquejohnson9002
    @shamaniquejohnson9002 4 роки тому

    whats the value for annually? i know quarterly is 4. good video

  • @mrchowdhury4738
    @mrchowdhury4738 4 роки тому

    Thanks

  • @ashantae9313
    @ashantae9313 2 роки тому

    So do i just ignore the 1?

  • @polo2akeredolu72
    @polo2akeredolu72 4 роки тому

    Could you answer this 1500 is borrowed at 10% p.a how much is replayed after 2 years

    • @MS-pz9wd
      @MS-pz9wd 3 роки тому

      how lazy are you lmao

  • @Himanshu__pandey
    @Himanshu__pandey 3 роки тому

    Thankyou sir love from india

  • @ursissygirl_lea
    @ursissygirl_lea 2 роки тому +1

    How did you calculate the 5000(1.02)⁸

    • @swalter36
      @swalter36 2 роки тому +1

      Do the ( ) first so 1.02 to the 8th power is 1.17166 then times that by 5000.

  • @thedarkfire7580
    @thedarkfire7580 2 роки тому +1

    Ahhh I c thanks this helped
    Here's a sub

  • @supermoon4861
    @supermoon4861 2 роки тому +1

    *edit: Just figured it out but realised I need to study and learn maths syntax. Great video btw, thanks.
    I'm lost. I didn't get the answer I think because of not understanding brackets. I did 5000 x 1.02 x 8 = 40,800. I know two letters next to each other are mutlipled like nt. Can someone explain were I went wrong?

    • @supermoon4861
      @supermoon4861 2 роки тому +3

      Ah I think I see amount starting at 1.02 repeated 8 times.
      1st round = 5100
      2nd round = 5202
      3rd round = 5306.04
      4th round = 5412.16
      5th round = 5520.40
      6th round = 5630.81
      7th round = 5743.42
      8th round = 5858.29
      So P is the start amount and brackets is applied to P then P becomes the result of that and this is cycled 8 times. You could say what is in the brackets is reflective.
      8 times {P = P * 1.02}

    • @benjsangalang
      @benjsangalang 7 місяців тому +1

      ​@@supermoon4861thanks for the explanation, I was confused on that part as well

  • @dagimiko
    @dagimiko Рік тому +1

    Plea show as when you calculat

  • @JESSROCKEDChannel
    @JESSROCKEDChannel 5 років тому +2

    thanks professor xavier

  • @yashaserrano1308
    @yashaserrano1308 2 роки тому

    how did you get the 5858.30?

    • @ursissygirl_lea
      @ursissygirl_lea 2 роки тому

      True i can't understand how did he get the 5858.30

  • @vashw3779
    @vashw3779 3 роки тому +4

    Do I have to learn this-
    man.....high school sucks-

    • @shayelymb6838
      @shayelymb6838 3 роки тому +1

      I’m doing this in grade 8! Your just learning this in High school?!

    • @vashw3779
      @vashw3779 3 роки тому

      @@shayelymb6838 I am in grade 8 where I’m from 8th grade is on high school high school starts at 7th grade and ends at 11th grade

    • @vashw3779
      @vashw3779 3 роки тому

      The teacher did tell us we’d be needing this is further grades as well though-

  • @lloydle12
    @lloydle12 3 роки тому

    I love you

  • @phish4life919
    @phish4life919 5 років тому

    I think ur better than my alg 2 teacher

  • @felathar1985
    @felathar1985 4 роки тому +3

    this was so useful to solve my python homework. You are a great teacher man.

  • @danagobrr
    @danagobrr Рік тому +1

    is that the guy beluga uses his videos as if he’s Walt?

  • @ericksonzapata2109
    @ericksonzapata2109 4 роки тому

    How about Biannually?

  • @wilwalker2388
    @wilwalker2388 3 роки тому +1

    me watching this before my exam, streesed

  • @makaylagainey5006
    @makaylagainey5006 5 років тому

    What would be my n if my question says continuously not quarterly?

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому

      You would want to use a different formula than this one...I explain how here: Compounding Continuously Pert Formula ua-cam.com/video/dFsBfi9W7sQ/v-deo.html

  • @tkthida
    @tkthida 5 років тому +4

    Tomorrow I have a final exam. Thank you for teaching me.

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому +5

      You’re welcome! Good luck on your exam! Report back if you want and let us all know how you did.

    • @tkthida
      @tkthida 5 років тому +5

      @@MariosMathTutoringI got 94%.

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому +5

      Awesome! Great Job!

    • @tkthida
      @tkthida 5 років тому +1

      Thank you😃

  • @sathu5104
    @sathu5104 6 місяців тому

    bro ily

  • @barbiegirl1824
    @barbiegirl1824 2 роки тому +1

    Tanks sir I m indian

  • @edelhiber7968
    @edelhiber7968 Рік тому

    I wish you did it without calculator but thank you

  • @vincenzo382
    @vincenzo382 4 роки тому

    I'm not in class anymore for obvious reasons so I couldn't reach out to my teacher to help me with this, thanks for the short and simple video.

  • @mysterychemical
    @mysterychemical Рік тому

    'r' IS THE INTEREST RATE PER YEAR/ANNUM.

  • @AngelTan-qf4xm
    @AngelTan-qf4xm 8 місяців тому

    So bad at learning things😢 I'm such a slow learner, i didn't get it ill watch this many times just so i could understand the topic

  • @codingwithkenny6492
    @codingwithkenny6492 3 роки тому

    That was amazing! I understood everything you explained in the video! It was just all crystal clear! Thank you for making this video! By the way, I subscribed.