5! ( 2 × 1 ) - 4! × 3!
2 answers:
Hello there!
5! means 5 factorial or 5*4*3*2*1.
5! = 120
120 (2) - 4! *3!
240-(4*3*2*1) *(3*2*1)
240-24*6
240-144
Hope it helps!
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<h3>Answer: 23 years</h3>
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Work Shown:
P = 1000 is the amount deposited
We want this value to double to A = 2000 which is the amount in the account at time t (in years).
r = 0.03 represents the interest rate in decimal form.
The value of t is unknown but we can solve for it like so
It will take about 23 years for the amount to double.
As a check,
which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.
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Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.