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Can someone please please help me. Really important

  1. Find the time required for an investment of $5000 to double at an annual rate 7.5% compounded quarterly. Round your answer to the whole year.

  2. The half-life of radium-226 is 1600 years.
AWhat is the exponential decay rate? Round to 5 decimal place.
BSuppose we have 22mg sample. How much of the sample will remain after 4000 years. Round to two decimal places

Please explain step by step. Thanks

Can someone please please help me. Really important 1. Find the time required for an investment of 5000 to double at an annual rate 7.5 compounded quarterly. Ro class=

Verified Answer :

apologiabiology
  1. so 5000
    so in the first quarter 5000 + (5000 times 0.075)=5375
    second quarter 5375+(5375 times 0.075)=5.778.13
    third quarter 5.778.125+(5778.125 times 0.075)=6211.48
    and so on
    when you get to 2.5 years you get 10305.2 which is more than double but round answer to whole year so
    3 years you get 11908.9

    2. a half life is how long it takes for half of the sample to decay so
    a. not sure how to do this sorry.
    b. so  there are 2.5 1600s n 4000 so (22 times 1/2)=11 then 11 times 1/2=5.5 then since only half of the half life has passed then only 1/4 has passed away so
    5.5-(5.5 times 1/4)=4.125
    after 4000 years there will be 4.13 grams

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