Answer:
- starting balance: $636,215.95
- total withdrawals: $1,200,000
- interest withdrawn: $563,784.05
Step-by-step explanation:
a) If we assume the annual withdrawals are at the beginning of the year, we can use the formula for an annuity due to compute the necessary savings.
The principal P that must be invested at rate r for n annual withdrawals of amount A is ...
P = A(1+r)(1 -(1 +r)^-n)/r
P = $60,000(1.08)(1 -1.08^-20)/0.08 = $636,215.95
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b) 20 withdrawals of $60,000 each total ...
20×$60,000 = $1,200,000
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c) The excess over the amount deposited is interest:
$1,200,000 -636,215.95 = $563,784.05
Answer:
We conclude that:
Step-by-step explanation:
Given the expression
<u>Let us solve for 'c'</u>
Least Common Multiplier of 2n, 3c: 6nc
Now multiply both sides by LCM = 6nc
Simplify
Subtract 10n from both sides
Simplify
Subtract 6nc from both sides
Simplify
Factor 12c - 6nc = 6c(2-n)
Divide both sides by 6(2-n); n≠2
simplify
Therefore, we conclude that:
1225 is a perfect square. the simplest factored form of 1225, is 35.
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