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MATH 1324 Homework 5 Answers

MATH 1324 Finite Math: Homework on compound interest. Calculate future value of a trust fund with 2.5% annual interest over 35 years. Learn to identify and apply the correct interest formulas.

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    MATH 1324 - Finite Math with Applications Homework 5 (Untimed. 1 Attempt) DUE October 7, 2022 11:59:00 PM! Use the following problem to answer questions 1 and 2. A young man is die beneficiary at a huge crust fund 35 years aga. If they had sec aside 525,000, bow much T AT11 be in ±e trust now if they could invest the money at 2.5% per year compounded annually? QI. Identify rhe type problem. * A. Present Value with compound interest (INCORRECT) ■ B. Future Value with compound interest ■ C. Simple Interest ■ D. Future Value with simple interest ■ E. Present Value with simple interest ’ F. None of the above. ■ 1 Given data CL_ Time pPTinrl (tj _______ = 3.6 ppm O Rate of interest (r) = 2.5% Ci— Principle amount (P) = 25,000 1 The type of problem is present value with compound interest so it is option A. Q2. How much money will ±ey have if the interest is compounded semiannually? * A. $505,709.33 ‘ B. 562,773.32 * C._$59, 647.50 * D. $65,592.11 ■ E. $33,308.30 ’ F. None of the above. « I 2 | lc * Compound interest semiannually (CI) = P , 1 + I I 2 5 2 l 1 K i i I 2 5 ™ CI =25000 1 + - —— I = 25000 1 + — 100 200 = 59,647.4993 59,647.50 F = 25000 P = F ( l + f)-’ = 59,647.4993 S59,647.50 t = 35 r = 2.5% = 0.025 m = 2 r 0.025 ■ "m " 2 n = mt 2(35) = 70

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