Bob invests $25,000 in an account that pays 4.75% annual interest compounded continuously (so r = 0.0475). How many years will it take for his investment to triple (set=$75000)? Round to the nearest tenth of a year: x years
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Answer:
x=23.7 years
Step-by-step explanation:
Investment= $25000
Interest rate= 4.75% annual compounded
Target amount= $75000
Investment duration= x years
- 25000*(1+0.0475)ˣ=75000
- 1.0475ˣ=75000/25000
- 1.0475ˣ=3
- x= log₁.₀₄₇₅(3) = 23.7 years
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