Thomas wants to retire in 20 years. He can deposit a lump sum of \( \$ 20,000 \) today into an account earning \( 6 \% \) interest compounded annually. He also plans to contribute \( \$ 1,000 \) annually for the next 20 years into the same account. What will be the future value of his retirement fund in 20 years? [3]

f William invests his birthday money of \( R 850.00 \) at an interest rate of \( 7.5 \% \) for one year, what will the value be of his investment after one vear?

*14. Find the value of an investment of \( \$ 25,000 \) for 14 years at an annual interest rate of \( 3.85 \% \) compounded continuously. The value of the investment is \( \$ 42,317.9 .3 \) (Do not round until the final answer. Then round to the nearest cent as needed.)

वार्षिक ब्याज की दर ज्ञात करें यदि रु 2000, \( 1 \frac{1}{2} \) वर्ष में रु 2315.25 हो जाता है। और ब्याज अर्द्धवार्षिक चक्रवृद्धि ब्याज के रूप से संयोजित होता है? \( \begin{array}{ll}\text { (1) } 10 \% & \text { (2) } 11.5 \% \\ \text { (3) } 5 \% & \text { (4) } 20 \%\end{array} \)

वार्षिक ब्याज की दर ज्ञात करें यदि रु \( 2000,1 \frac{1}{2} \) वर्ष में रु 2315.25 हो जाता है। और ब्याज अर्द्धवार्षिक चक्रवृद्धि ब्याज के रूप से संयोजित होता है? \( \begin{array}{ll}\text { (1) } 10 \% & \text { (2) } 11.5 \% \\ \text { (3) } 5 \% & \text { (4) } 20 \%\end{array} \)

1. Oscar consumes two goods, wine and cheese. His weekly income is \( \$ 500 \). a) Write down Oscar's budget line equations and plot the respective budget lines und following conditions: (i) Wine costs \( \$ 10 / \) bottle, cheese costs \( \$ 5 / \) pound; (ii) Wine costs \( \$ 10 \) /bottle, cheese costs \( \$ 10 / \) pound; (iii) Wine costs \( \$ 20 / \) bottle, cheese costs \( \$ 10 / \) pound; (iv) Wine costs \( \$ 20 / \) bottle, cheese costs \( \$ 10 / \) pound, but Oscar's income increas \( \$ 1,000 / \) week. b) What can you conclude by comparing the first and the last of these budget constraints?