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Paraphin [41]
3 years ago
10

fran swims at a speed of 2.4 mph in still water, the river flows at a speed of 0.6mp, how long will it take fran to swim 2.7mi u

pstream? and 2.7mi downstream?  NEED HELP!!
Mathematics
1 answer:
Rainbow [258]3 years ago
5 0
Upstream her speed of 2.4 is decreased by 0.6 to 1.8mph. 2.7mph/1.8m = 1.5 hours
downstream her speed is incresed to 3 mph. 2.7/3 = 0.9 hours
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Read 2 more answers
117. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.
Sergio [31]

Answer:

The explicit function is:

S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )

where

z=(1+\frac{0.02}{12})

and we calculate S12:

S_{12} = $1211.06

Step-by-step explanation:

Expanding a few steps of the compound interest:

S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100

We can write:

(1+\frac{0.02}{12})=z

100=C for deposits

Then, expanding the previous equations would yield:

S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C

This is a geometric series form, which can be simplified to:

S_{n}=C(\frac{z^{n}-1}{z-1} )

plugin in the values for the 12 month gives:

S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613

6 0
3 years ago
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