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navik [9.2K]
2 years ago
9

Advance Algebra Logarithm Task

Mathematics
1 answer:
valina [46]2 years ago
4 0

9514 1404 393

Answer:

  3.65% monthly

Step-by-step explanation:

The same amount is invested for the same period in all accounts, so we only need to determine the effective annual rate in order to compare the accounts.

For compounding annual rate r n times per year, the effective annual rate is ...

  (1 +r/n)^n -1

For the same rate r, larger values of n cause effective rate to be higher. As a consequence, we know that 3.65% compounded quarterly will not have as great a yield as 3.65% compounded monthly. The effective rate for the monthly compounding is ...

  (1 +0.0365/12)^12 -1 = 3.712%

The effective rate for continuous compounding is ...

  e^r -1

For a continuously compounded rate of 3.6%, the effective annual rate is ...

  e^0.036 -1 = 3.666%

This tells us the best yield is in the account bearing 3.65% compounded monthly.

_____

If i is the effective annual rate of interest as computed by the methods above, then the 10-year account balance will be ...

  10000×(1 +i)^10

This is the formula used in the spreadsheet to calculate the balances shown.

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9

Step-by-step explanation:

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2 years ago
60 degrees,60 degrees,4cm Do the following conditions make a unique triangle, more than one triangle or no triangle possible?
babunello [35]

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5 0
2 years ago
<img src="https://tex.z-dn.net/?f=e%20%3D%20mc%20%7B2%7D" id="TexFormula1" title="e = mc {2}" alt="e = mc {2}" align="absmiddle"
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Answer:

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Hope this helped

6 0
3 years ago
The third term in an arithmetic sequence is 10 and the fifth term is 26.If the first term is a1,which is an equation for the nth
dexar [7]
Just plug in 3 for n and then 5 for n to see if an turns out to be 10 and 26.

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10  OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
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So the answer is B
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3 years ago
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3 years ago
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