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IB MAI HL Calculus Topic 5.4 Differential Equations (id: f79aea405)

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admin 发表于 2024-3-22 17:21:55 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.4 Differential Equations,类别为 IB数学

[填空题]
Lisa continuously invests mo g)n8a l.ajv+kc31:b gy lnn0fney into an account ma:zsi k )i3,am,ixt)at a rate of 1500 euros per year. The account has an annual interest rate of 8 % . The amount of money, ),:ak,i)3z imsitamx A , in the account after t years satisfies the following differential equation:

$\frac{d A}{d t}=0.08 A+1500$


The initial amount of money Lisa deposited into the account when it was set up was 730 euros.
1. Find an expression for A , in terms of t .
A(t)=  e$^{0.08t}$-  .
2. 1. Find $\int_{0}^{6}(0.08 A+1500) \mathrm{d} t $ ≈   .
2. State what this value represents.




参考答案:
空格1: 19480空格2: 18750空格3: 12000


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