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Check my work If an ounce of gold, valued at $650, increases at a rate of 7 percent per year, how long will it take to be valued at $1,000? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Number of years

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Answer #1

Answer - 6.37 years

Reason =

Formula = Future value = present value ( 1 + rate ) ^ n

= 1000 = 650 ( 1 + 0.07 ) ^ n

= 1000 / 650 = (1.07) ^ n

= 1.5384615384 = 1.07 ^n

Now putting log values on both sides we get ,

Log 1.5384615384 / log 1.07 = n

= 0.187086643 / 0.0293837777 = n

= n = 6.3670044372 years or 6.37 years

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