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Calculating the Accumulated Value of Increasing Annuities
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Suppose you want to deposit money into an account where deposits increase every period after the first by some fixed number, g. For example:
• At the end of the first year, you deposit $R
• At the end of the second year, you deposit $R + g
• At the end of the third year, the previous year's deposit again increases by g, and so on…
As these deposits accumulate and earn compound interest, the total value of the annuity grows over time. To calculate the present value of such annuity, we use the following formula:
((1+i)^n [R+g(PV_(n−1) )]−[R+g(n−1)])/i
Recall: Present Value of Annuity (PV): (1−(1+i)^(−n))/i
Q. Marc wishes to build his wealth by investing money into an account that offers 4.5% annual interest. For the next five years, starting one year from today, he plans to deposit $2,000, and with each subsequent year increasing his deposits by $500 more than the year before. For example, after year 1, he deposits $2,000, after year-2, he deposits $2,500, and so on. By the end of the annuity, how much will Marc have accumulated, assuming the interest rate remains the same?
Переглядів: 15

Відео

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Переглядів 32День тому
✔ StudyForce.com ✔ Biology-Forums.com ✔ Ask questions here: Biology-Forums.com/Ask Suppose you wish to purchase an annuity where payments increase every year after the first by some fixed number, g. For example: • At the end of the first year, it pays out $R • At the end of the second year, it pays out $R g • At the end of the third year, the previous year's payment again increases by g, and so...
Calculating the Equivalent Value at a Later Date (Simple Interest)
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Переглядів 3914 днів тому
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Using the Modified Offset Method to Find the Area of Irregular Shapes
Переглядів 73Місяць тому
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Переглядів 33Місяць тому
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Inflation-Adjusted Annuity Calculation (Increasing Annuities / Geometric Growth)
Переглядів 58Місяць тому
✔ StudyForce.com ✔ Biology-Forums.com ✔ Ask questions here: Biology-Forums.com/Ask Suppose you wish to purchase an annuity where payments increase every year after the first by some fixed percent, h. For example: • At the end of the first year, it pays out $R • At the end of the second year, it pays out $R increased by h% (1 h) • At the end of the third year, the previous year's payment again i...
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Переглядів 79Місяць тому
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Переглядів 50Місяць тому
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Переглядів 1362 місяці тому
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Переглядів 922 місяці тому
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Переглядів 592 місяці тому
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Переглядів 912 місяці тому
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Переглядів 622 місяці тому
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КОМЕНТАРІ

  • @ameensiddiqui5791
    @ameensiddiqui5791 3 дні тому

    What is the correct answer actually

  • @DawitGirma-c8g
    @DawitGirma-c8g 3 дні тому

    👏👏👏👏

  • @gachaeater87
    @gachaeater87 3 дні тому

    I just watched B faded into the color..😭

  • @user-mf3zd8vd9b
    @user-mf3zd8vd9b 4 дні тому

    i hate this video and i hate math but love u

  • @soldier-px8vw
    @soldier-px8vw 6 днів тому

    🙏🏾

  • @shahvaizkhan6279
    @shahvaizkhan6279 7 днів тому

    NAILED IT!

  • @nsosijdeuejsjkaekdy
    @nsosijdeuejsjkaekdy 10 днів тому

    Thanks it helped

  • @Sarthak809
    @Sarthak809 11 днів тому

    Thanks! This is really going to help me for my test tomorrow 😂

  • @guitarradas_no_teclado
    @guitarradas_no_teclado 12 днів тому

    Nice. You teach very well.

  • @ayeTobi
    @ayeTobi 12 днів тому

    Can I use this formula in metric system?

  • @Lekos-TJ
    @Lekos-TJ 12 днів тому

    On question (a)answer on 2×2 matrix 3 is not negative

  • @siberiaan4880
    @siberiaan4880 15 днів тому

    19. You forgot about the square in the middle

  • @Star_the_sty
    @Star_the_sty 16 днів тому

    Tysm maam for showing this!

  • @enormity4566
    @enormity4566 16 днів тому

    Good vdo to watch❤ from Cambodia

  • @xeinakingdom
    @xeinakingdom 17 днів тому

    thanks a million

  • @MuhammadAbid-hi2kt
    @MuhammadAbid-hi2kt 21 день тому

    The number is 3246

  • @MuhammadAbid-hi2kt
    @MuhammadAbid-hi2kt 21 день тому

    I hate this video

  • @anonymouslux
    @anonymouslux 22 дні тому

    thanks!

  • @mr.a.c.e5272
    @mr.a.c.e5272 23 дні тому

    Thanks a lot

  • @yeahhey1892
    @yeahhey1892 23 дні тому

    1:35 Tp

  • @jamiesbgrace
    @jamiesbgrace 23 дні тому

    Sparrows and Morning Dove are the most familiar in my neighborhood

  • @KrishnaMahor-jg6mw
    @KrishnaMahor-jg6mw 23 дні тому

    1

  • @user-bk2ug6bm7u
    @user-bk2ug6bm7u 23 дні тому

    But i thought the Total distance from the starting point will be 91km +35km = 126km I.e initial distance of truck + initial distance if truck

  • @syncradar
    @syncradar 24 дні тому

    Here's a proof why negative times negative is positive using addition: Negative two minus negative two is equal to zero So is negative two plus positive two equal to zero. Using mathematical notations: -2-(-2)=-2+2=0 Isn't it just the distributive property all over again?

  • @NeilTheBoss12
    @NeilTheBoss12 24 дні тому

    I did this science experiment in highschool, but after several years I came back to this dumbfounded. Since this is a checkered board, the shades should be different between white and dark regardless of a shadow or not. I see that this is the same colour, so why are the other white squares also under the shadow have the same effect? Is it just the middle square that's truly the same shade as the black ones? And all other white squares are all white?

  • @luthfan9513
    @luthfan9513 25 днів тому

    If u put loon on 0.5x speed it sound like this

  • @TheLovely990
    @TheLovely990 26 днів тому

    I'm eating kiwi fruit right now, and its yummy to me. One of my favorite fruits.❤❤

  • @user-jf8gs7si5u
    @user-jf8gs7si5u 26 днів тому

    Best explanation 👌

  • @BentoDeSouzaMatos
    @BentoDeSouzaMatos 28 днів тому

    4:45

  • @BentoDeSouzaMatos
    @BentoDeSouzaMatos 28 днів тому

    0:00

  • @BentoDeSouzaMatos
    @BentoDeSouzaMatos 28 днів тому

    3:00

  • @BentoDeSouzaMatos
    @BentoDeSouzaMatos 28 днів тому

    1:11 1:12

  • @healthbeauty7853
    @healthbeauty7853 29 днів тому

    There are lottery programs that claim to analyse number patterns using past results using a history file to predict future results. Im not sure if any of these programs work. Or they are just random number generators. These programs are normally quite expensive.

  • @healthbeauty7853
    @healthbeauty7853 29 днів тому

    You can lower the odds by fixing number if you match the fixed numbers. I like to fix two or three numbers when I play the lottery.

  • @kenzou803
    @kenzou803 29 днів тому

  • @Haha.alphamale
    @Haha.alphamale Місяць тому

    You made it more complicated bro we can just times and divide easily

    • @StudyForceOnline
      @StudyForceOnline Місяць тому

      There's no logic to that and is easily forgettable. Here I'm showing you a method that can be used in more complicated conversions where the coupling of conversion factors would be required. Thanks for watching nevertheless

  • @NashaJai
    @NashaJai Місяць тому

    Thank you so much you just saved my life.

  • @swedensy
    @swedensy Місяць тому

    This is actually very bad explanation, cause i could have a stairs or space elevator with heights 300km, i could just climb with 0.5m per seconds and reach the top.

    • @StudyForceOnline
      @StudyForceOnline Місяць тому

      Your explanation isn't any better. Not even sure how your analogy relates to the topic

  • @eyobhilemariam
    @eyobhilemariam Місяць тому

    Excelent thank you

  • @raghvendrarao3182
    @raghvendrarao3182 Місяць тому

    I just ate 2 kiwis

  • @kitschy1212
    @kitschy1212 Місяць тому

    I don't understand my teacher that's why i came here💀

  • @AbleBrawa
    @AbleBrawa Місяць тому

    ❤❤❤❤❤thanks

  • @user-kz5bx2zg8e
    @user-kz5bx2zg8e Місяць тому

    1 comment 🎉🎉

  • @sikothugie5609
    @sikothugie5609 Місяць тому

    4:37 this part is funny lol

  • @user-us2gb5nz5z
    @user-us2gb5nz5z Місяць тому

    Ans for questions two

    • @StudyForceOnline
      @StudyForceOnline Місяць тому

      ua-cam.com/video/LcwX-dkiWDM/v-deo.htmlsi=-vfNEdZOOchlo9dG

  • @user-sm4sf4ff2i
    @user-sm4sf4ff2i Місяць тому

    Cheer~~~~give the different forms of (a verb in an inflected language) as they vary according to voice, mood, tense, number, and person.😊

  • @drenergydrink
    @drenergydrink Місяць тому

    The last part of the expression after integrating becomes 2x, Since integration 2 dx becomes 2x + c

  • @donna8876
    @donna8876 Місяць тому

    The first two rows are not equations. They are expressions. There is nothing to solve. Only the third line is an equation. Answer is 2.

  • @Hiz5tar
    @Hiz5tar Місяць тому

    I thought you’re also supposed to convert the weight from pounds to kg.

  • @prabhjottoor2855
    @prabhjottoor2855 Місяць тому

    Hii i can not find the right answer