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ElenaW [278]
3 years ago
6

Jose has determined he needs to have $800,000 for retirement in 30 years. His account earns 6% interest.

Mathematics
1 answer:
bija089 [108]3 years ago
4 0
A. $285,714.29/360 = $793.65
B. $285,714.29
C. $800,000-285,714.29 = $514,285.71

A. P/T(12)
B. P = A/(1+RT)
C. I = PRT or I = A-P

Answer:
P = $285,714.29

Equation:
P = A / (1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:
P = 800000 / ( 1 + (0.06 × 30)) = 285714.28571429
P = $285,714.29

The principal investment required to get a total amount, principal plus interest, of $800,000.00 from simple interest at a rate of 6% per year for 30 years is $285,714.29.
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Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?
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 ×2  ×2  ×2

a_{n} = a_{1} * r^{n - 1}
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a_{n} = 8 * 4096
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           First Term: 8
      Second Term: 16
          Third Term: 32
        Fourth Term: 64
           Fifth Term: 128
          Sixth Term: 256
     Seventh Term: 512
       Eighth Term: 1024
         Ninth Term: 2048
        Tenth Term: 4096
   Eleventh Term: 8192
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Thirteenth Term: 32768

The\ expression\ that\ would\ give\ the\ thirteenth\ term\ of\ the\ problem\ would\ be\ the\ equation\ of\ the\ geometric\ sequence,\ which\ is\ equal\ to\ a_{n} = a_{1} * r^{n - 1}.

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Step-by-step explanation:

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