Help and explain to me how to solve it ?(new question )

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SUMMARY

This discussion addresses a series of mathematical problems related to savings, loan repayments, and series expansions. The first problem involves calculating the time required for a student to save RM1200 by saving RM50 monthly with an interest rate of 0.5% per month. The second problem focuses on determining the monthly repayment amount for a RM50000 loan over 15 years at a 9% annual interest rate. Additional problems include finding specific coefficients in polynomial expansions and summing a geometric series. The forum emphasizes the importance of demonstrating initial problem-solving efforts before seeking assistance.

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  • Understanding of basic financial mathematics, including interest calculations.
  • Familiarity with polynomial expansions and coefficients.
  • Knowledge of geometric series and their summation formulas.
  • Ability to apply algebraic manipulation for solving equations.
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  • Learn how to derive monthly payment amounts for loans using the amortization formula.
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  • Investigate geometric series and their convergence properties.
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Students in mathematics, finance professionals, and anyone looking to enhance their problem-solving skills in algebra and financial calculations.

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Homework Statement


1)a student saves his pocket money with the intention to buy an encyclopedia set costing RM1200.If he saves RM50 in the bank each month and the bank pays him an interest of ½ % per month , how many months has he got to saves before he can afford to buy the encyclopedia?

2)a house buyer borrow RM50000 from a bank to buy a house which costs RM70000. The rate of interest charged by the bank is 9% per annum ,and is calculated based on the amount outstanding at the beginning of each year. The house buyer is required to repay his loan in monthly installments for a period of 15 years. Assuming that the rate of interest is fixed for the entire duration of the loan ,find the amount per month he has to repay the bank .

3)find the coefficient of terms in as indicated in the following expansions.
(1+x^2)(2-3x)^7, term in x^3

4)expand the following function as a series in ascending powers of x up to and including the term in x^3. State the range of value of x for the expansion is valid
a)(1+x+x^2)^-1
b)(1-x-2X^2)^5

5)find the sum to the nth term of geometric series 108+60+33/ 1/3+…….if s is the smallest number which exceeds this for all values of n ,find the value of s .find also the smallest value of n such that the sum of the series exceeds 99% of the values of s.


{b]2. Homework Equations [/b]
s=a/(r-1) or...


The Attempt at a Solution


out of ideal
 
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According to the rules of this forum, you have to make an effort at solving the problems you post before we can give you any help.

Also, you will probably get more help (assuming you show an effort) if you put only one or two problems in a thread.
 

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