Libra1716idn
Answered

Sumali sa IDNStudy.com at makuha ang mabilis at kaugnay na mga sagot. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

How much money would you need to deposit today at 15% annual interest compounded annually to have P1,500.000 in the account after 9 years ​

Sagot :

XyrielBelleidn

Question:

How much money would you need to deposit today at 15% annual interest compounded annually to have P1,500.000 in the account after 9 years

Answer:

[tex]\color{skyblue}\boxed{x = 1500000 × 20⁹/23⁹}[/tex]

Step-by-step explanation:

Based on the given conditions, formulate:

  • x × (1+15%) ⁹ = 1500000

Calculate the sum or difference:

  • x × 1.15 ^ 9 = 1500000

Divide both sides of the equation by the coefficient of variable:

  • x = 1500000/1.15⁹

Convert decimal to fraction:

  • x = 1500000/ (115/100)⁹

Cross out the common factor:

  • x = 1500000/ (23/20)⁹

Simplify using exponent rule with same exponent:

  • (ab)n =an.bn: x = 1500000/23⁹/20⁹

Divide a fraction by multiplying its reciprocal:

  • x = 1500000 × 20⁹/23⁹

Write as a single fraction:

  • x = 1500000 × 20⁹/23⁹

Gets the result:

  • x = 1500000 × 20⁹/23⁹

#MathIsFun

Maraming salamat sa iyong aktibong pakikilahok. Magpatuloy sa pagtatanong at pagbabahagi ng iyong mga ideya. Ang iyong kaalaman ay mahalaga sa ating komunidad. Para sa mabilis at maasahang mga sagot, bisitahin ang IDNStudy.com. Nandito kami upang tumulong sa iyo.