2. Present Value of a Lump Sum You want to have \( \$ 50,000 \) in your account 15 years from now. If the annual discount rate is \( 6 \% \), how much should you invest today? Assume annual compounding.

Sydney bought a new car for \( \$ 32,000.00 \). If the car decreases in value by \( 8 \% \) each year, you can model this situation with the equation \( f(x)=32000(0.92)^{x} \). Complete the table to find the value of the car to the nearest cent after 3 years.

A \( \$ 160,000 \) mortgage is to be repaid over a 20-year period by end of the month payments rounded up to the next-higher \( \$ 100 \) Interest is \( 5.44 \% \) compounded semi-annually. (a) Determine the number of rounded payments required to repay the mortgage. (b) Determine the size of the last payment. (c) Calculate the amount of interest saved by rounding the payments up to the next-higher \( \$ 100 \).

(ii) शेयर सदस्यहरूको सङ्य्या पत्ता लगाउनुहोस् । (Find the Model 4 Problems based on finding net profit. 5A. एउटा ट्राभल्स एजेन्सीले यसको नाफाको \( 5 \% \) लाभांशको रूपमा यसका 500 शेयर सदस्यहरललाई बराबरी बाँड्यो । यदि हरेक शेयर सदस्थले रु. 30,000 लाभांश पाए भने A travel agency distributed \( 5 \% \) of its profit as a dividend among its 500 share holders equally. If the dividend received by each share holder is Rs 30,000 , (i) सो ट्राभल्स एजेन्सीको कुल नाफा पत्ता लगाउनुहोस् । (Find the total profit of the travel agency.) (iii) हरेक शेयर सदस्यले जस्मा कति नाफा गरेका रहेछन् ? (What is the total profit of each share holder?)

a. The future value of \( \$ 590 \) six years from now at 5 percent. b. The future value of \( \$ 1,000 \) saved each year for 10 years at 7 percent. c. The amount a person would have to deposit today (present value) at an interest rate of 9 percent to have \( \$ 600 \) five years from nov d. The amount a person would have to deposit today to be able to take out \( \$ 900 \) a year for 9 years from an account earning 7 percent.

Income of Ais \( 60 \% \) oess than of \( B \) and expenditure of \( A \) is equal to \( 60 \% \) of the expenditure of 8 If income of \( A \) is equal to \( 70 \% \) of expenditure of \( B \). then what is the ration of savings of \( A \) and \( B \) ?