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VikaD [51]
3 years ago
14

Here's the pic for #14

Mathematics
1 answer:
gregori [183]3 years ago
7 0
Where because I do not see it 

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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
What is 8x8x8x8x8x8x8? I don't have a calculator! Please help!
grin007 [14]
It is also the same as 8 to the power of 7
which looks something like this 8^7
you can also do it by doing 64×64×64×8
then do 64×64
multiply that answer by 64
multiply that answer by 8
this will work with any question and you can do it without a calculator and on paper.
6 0
3 years ago
¯\_(ツ)_/¯ please help
Serjik [45]

Answer:

1.4

Step-by-step explanation:

Divide 2.8 by 2 because of 2 minutes to make it 1 minute.

6 0
3 years ago
Read 2 more answers
Please help!<br><br> What the values of the expression?<br><br> A. 3<br> B. 12<br> C. 27<br> D.81
Sergeu [11.5K]

Answer:

D. 81

Step-by-step explanation:

I am in the same class as you, I took the quiz and the answer was 81

4 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
natka813 [3]

Answer: (1,0), increases, x=0, decreases to negative infinity.

Step-by-step explanation:

Plato/edmentum

8 0
3 years ago
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