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Assignment#6.4 Solutions

Added Feb 17, 2016 •

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alright hey guys so I wanted to take a few minutes really quick to go over your homework with you for number 3 it says compare the exponential growth and exponential decay function we did that in your notes yesterday but exponential growth is increasing by certain amount over and over old time and then the exponential decay is decreasing also in your when looking at them comparing them and exponential growth is where it's greater than 1 okay sorry really inopportune time to sleep anyways also next to the kids when it's less than one order fraction  for number 8 shinsei identify the initial amount so your initial amount is the part that comes in front of the parentheses  so for this part a equals 12 and then your initial Announcement by put a internet says and your rate of growth are as a percent so that's this part in the parentheses but we have to do one plus plus because it's greater than 1 which means the growth  R equals 1.05  a subtract 1 to the other side R equals points  05 but we want it as a percent so move the decimal point over I'm too and so you get 5%  for number 13 we are just need to turn this into a function that represents the situation so or formula is y equals a 1 + are cuz it says increased  to the teeth is your initial amount of 10000 and then 65 move the decimal point over twice it's 65 so one plus six five  to the T and we just want to make sure you simplify it so please don't leave your answer like this please Smite one step further and make it ten thousand  1.65 to the 2 power that should be your final answer number 19 is the same as number 8 x NFI the initial amount except for number 8 I forgot to do it when T equals 5 so all you do is you plug in 5:40  why pause  12 * 1.05 to the 5th power and so how to calculate that's about 18.9 I'm sorry I lied  about 15.3 to the size round to the nearest tenth psychic  so number 19 of the same initial amount is the number in front of your parentheses so that's a as 575  your rate is this time what we are subtracting I'm so this case are is just going to equal .6 but it says as a percent so move the decimal point over to the right twice which 60%  and then it says evaluate the function when T equals 3 so y equals 575 1 - .6 to the search  when you're doing this make sure you do 1-6 first and then do it to the third power against science calculator you need one for tomorrow and so then you get it's about 36.8 28 a sound system decreases in value so the formula we're using is pi equals a one- r to the T power  900 is your initial value 1 - .09 - 9 - 9 is do you want but we would move the decimal point over twice you can also just do one -2.09 on your calculator you'll get the same answer y equals 900 .91 to the 2 power phone number 34 says is it exponential growth or Decay or neither will to go from 0 to 1 it's plus one so from 1 to 2 + 1 2 - 3 + 1 however now the other side you have 32 - 28 - 428 - 24 - 424 - -4 this is neither cuz an order for it to be in potential growth or Decay you have to be multiplying or dividing  number 44  I think does the side effects in exponential growth or Decay and then identify the rate of change so this is a growth because .08 is greater than 1 and then you'd you one- Orem 1 plus r equals 1.08 subtract 1 to the other side or equals .08 but it says leave it in a person so that's 8 percent and then laughed but soon not least it says rewrite the function determine whether it represents an exponential growth or an exponential decay  I'm when we talked about one like this yesterday but are your adding with exponents your multiplying your numbers so we were to rewrite this this would be  1.4 times I'm going to rewrite that actually cuz it just looks terrible  cinnamon move it over a little bit 1.40  times 1.4 to the 8th power and we can go ahead and change that 1.4 to the 8th power but we don't have to because the one where the t is that's what really matters one point what is greater than 1 so it is in exponential growth counselors are all your problems for your homework for tonight I'm going to go ahead and stop this video you guys can go ahead and put that and I'll start units

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Assignment#6.4 Solutions

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