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IB MAI HL Number and Algebra Topic 1.3 Financial Mathematics (id: d2fea1846)

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admin 发表于 2024-2-6 01:33:10 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.3 Financial Mathematics,类别为 IB数学

[填空题]
Ann is considering iz(y7na)s.m qly4;;h nl icasr9 cp.t6nvfnm9 vxrff9+a/kvaa./ q+p 9xesting $85000 into a term deposit in one of two banks. The first bank offers an annual interest rate of 3 %, compounding monthly. The second bank offers a fixed payment amount of 250 per month.

1.Calculate:

1.1.the amount that would be in the account in the first bank at the end of the first year;
Using the compound interest formula, we get FV(≈)   .
1.2.the amount that would be in the account in the second bank at the end of the first year.
We have FV=  .
2.Write down an expression for:

2.1.the amount in the account in the first bank at the end of the nth year;

2.2.the amount in the account in the second bank at the end of the nth year.

3.Calculate the year in which the amount in the first bank account becomes
greater than the amount in the second bank.
Hence this will happen in   th year
4.Calculate:

4.1.the interest that Ann would earn if she invested in the first bank for 10 years;

4.2.the interest that Ann would earn if she invested in the second bank for 10 years.
Hence the amount of interest earned in the second bank is   




参考答案:
空格1: 87585±1空格2: 88000空格3: 11空格4: 30000


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