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When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

After much consideration, you have chosen cancun over ft. lauderdale as your spring break destination this year. however, spring break is still months away, and you may reverse this decision. which of the following events would prompt you to reverse this decision? a. the marginal cost of going to cancun decreases.b. the marginal cost of going to ft. lauderdale decreases.c. the marginal benefit of going to cancun increases.d. the marginal benefit of going to ft. lauderdale decreases.

Abbington company has a manufacturing facility in brooklyn that manufactures robotic equipment for the auto industry. for year 1, abbingtonabbington collected the following information from its main production line: actual quantity purchased-200 units, actual quantity used-110 units, units standard quantity-100 units, actual price paid-$8 per unit, standard price-$10 per unit. atlantic isolates price variances at the time of purchase. what is the materials price variance for year 1? 1. $400 favorable. 2. $400 unfavorable. 3. $220 favorable. 4. $220 unfavorable.