The value of missing entries a, b, c, d are $35, $605, $605, $640.
The crediting of cash flows connected with an investment or deposit is referred to as simple interest.
S.I = ( P * R * T)/100
A = P + S.I
P = Principal amount, S.I = Simple interest, A = Final amount, R = Rate of interest, T = Time period (years)
Column 1 Â Â Â Â Column 2 Â Â Â Â Â Â Â Column 3 Â Â Â Column 4
 (Year)     (Beginning balance) (Interest)  (Total balance)
   1          $500              $35       $535 Â
  2          $535               a        $570
  3          $570              $35        b
  4            c                $35        d
Total balance = Beginning balance + Interest
$570 = $535 + a (Row 2)
a = $35
Total balance = Beginning balance + Interest
b = $570 + $35
b = $605
Column-2 is an arithmetic progression:
[tex]a_{n}[/tex] = a + (n - 1)d
a = 500 , d  = 35
aâ‚„ = 500 + 3 * 35
aâ‚„ = $605
Hence c = $605
Column-4 is also an arithmetic progression:
[tex]a_{n}[/tex] = a + (n - 1)d
a = $535 , d = $35
aâ‚„= $535 + 3 * 35
aâ‚„ = $640
Hence d = $640
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