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# 3 logexponential andA Birt 1,000 deposits is made at a bank that pays 12% interest compoundedmonthly. How much will be in

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logexponential andA Birt 1,000 deposits is made at a bank that pays 12% interest compoundedmonthly. How much will be in the account at the end of 10 years?4If you start a Biology experiment with 5,000,000 cells and 25% of the cells aredying every minute, how long will it be before there are fewer than 1,000 cells?5 Learning curve: In psychological tests, it is found that students can memorize alist of words after 1 hours, according to the learning curve y = 50 – 50e -031wherey is the number of words a student can learn during the rh hour of study. Find howmany words a student would be expected to learn in the ninth hour of study.6 The energy released by the largest earthquake recorded, measured in joules, isabout 100 billion times the energy released by a small earthquake that is barelyfelt. In 1935 the California seismologist Charles Richter devised a logarithmicscale that bears his name and is still widely used. The magnitude M on the Richterscale is given as follows:ERichter scaleE.where E is the energy released by the earthquake measured in joules, and Eo is theenergy released by a very small reference earth quake which has beenstandardized to be E. = 10440 joules.Question:An earth quake in a certain town X released approximately 5.96 x 10 joules ofenergy. What was its magnitude on the Richter scale? Give your answer to twodecimal places.7 Physics: The basic unit of sound measurement is called a bell, named after theinventor of telephone, Alexander Graham Bell (1847-1922). The loudest sound ahealthy person can hear without damage to the eardrum has an intensity I trillion(10’3) times that of the softest of sound a person can hear. The relationship ofloudness of sound L and intensities I and I. is given by1L=10logīM =3Oomand teatory. laty mind100,00ved thatwhere L is measured in decibels, ****************/