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debo4965
10.03.2021 •
Mathematics
Consider the enlargement of a triangle that has a scale factor of 7.5.
2 cm
5 cm
Area Original = { (5)(2) = 5 cm?
What is the area of the enlarged triangle?
37.5
112.50
281.25
562.5
cm²
Solved
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Ответ:
The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...
... A = P(1 +r/n)^(nt)
Putting your given numbers into the formula, we have
... 876.34 = 300(1 +.06/4)^(4t)
Taking logarithms, this becomes the linear equation
... log(876.34) = log(300) + 4t·log(1.015)
Solving for t in the usual way, we get
... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right
... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t
It will take 18 years for the $300 CD to reach a value of $876.34.