Answer:
Intial Value: f(t) = 2 , Exponential Growth
Step-by-step explanation:
To find the initial value, all we have to do is find the value of f(t) at t = 0
In this case the given equation becomes
from the law of indices we know that any number with the power 0 is equal to 1 (except 0 with the power 0)
hence the above equation becomes
so the initial value is 2.
To find out whether this is exponential growth or exponential decay we need to see whether the base value of the power t is less than 1 or greater than 1, i.e. from
is
> 1 or < 1
if the value is greater, then with each increment in power, the total value will increase while if it is less than 1 then with each increment in power the total value will decrease.
Hence since > 1 then this is an exponential growth
Okay for problem 1 heres my explanation
So if you can get 4 bags for 5 cents so I multiplied 5 by 5 to get 25 cents and multiplied 4 by 5 and got 20 for 25 cents but the machine sells you 9 for 25 cents so if you get the m&ms from Jeanie you'll get more for your money if you get it from jeanie
Now problem 2
Now if tom sells 10 cards for 35 cents so theres a 5 cent difference for 2 more cards now 3 cents will be the most likley for the price for one of toms cards and toms price should have been 33 cents so your only being robbed of 2 cents not a big amount but we'll still look at the other guy 12 cards for 40 cents now if we look at how much toms cards will be if you bought 12 is only 39 cents 1 cent less than the other guy so in conclusion if you buy from Tom you get the better buy
Now problem 3
simple mutipily 19x4 and 76 cents the guys at the firework stands charge 85 for four so if you go to the hardware store and buy your fireworks there you get a better deal.
okay so im running out of time so someone else is gonna answer the last problem... sorry m8
We can find this out by taking the total (23.70) and dividing it by the 5 band members, getting the number 4.74. Now we do this again, but with the extra band member we get 3.95. Now the last step it 4.74 - 3.95, which is 0.79. So each band member payed 0.79 less than normal.
Answer:
11.95 g / 6 hours
Step-by-step explanation:
drug dosage = 460 mg per kg per day
to be administered every 6 hours to a person who weighs 229 pounds
1 pound = 0.453592 kg
229 pounds = 229 × 1 pound = 229 × 0.453592 kg = 103.873 kg
dosage of drug needed for 103.873 kg
460 mg is to 1 kg per day
103.873 kg = 103.873 × 460 mg per 1 kg per day = 47781.58 mg per 103.873 kg per day
number of 6 hours in a day = 24 hours ÷ 6 hours = 4 times per day
dosage needed per 6 hours
47781.58 ÷ 4 = 11945.395 mg for every 6 hours = 11.95 g / 6 hours
