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 7 years when $6000 is deposited in a savings account drawing 5 and 3/4% annual interest compounded continuously?
b. In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.)
c. Use a calculator to compare the amount obtained in part (a) with the amount S=6000 (1+1/4(0.0575))^7 that is accrued when interest is compounded quarterly.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )