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Solve financial calculation problems involving compound interest, loans, and annuities across the week. Practice optimization with constraints through mathematical modeling. Improve financial acumen.
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Warm-up: Mon. 9-17 • Minimize C = 2x1 + 3x2 subject to the constraints 2x1 + x2 ≥ 6 • x1 + 2x2 ≥ 4 • x1 + x2 ≥ 5 x1 ≥ 0 x2 ≥ 0
Warm-up: Tues. 9-18-2012 1. Find the amount of money in an account after 40 years compounded daily on $80,000 drawing 10% What would the interest be? 2. Find the proceeds for each discounted loan. 2000 repaid in 24 months at 8%. 3.
Warm-up: Wed. 9-19-2012 Sarah Jane needs to borrow $5000 to repair her roof. She can get a discounted loan from her bank at an 8.99% rate of interest for 18 months. What loan amount should be used so that she will receive the $5000 she needs? Find the value of the annuity when $200 is deposited each month at 10% interest (compounded monthly) for 20 years. 3.