Answer:
7 years 11 months
Step-by-step explanation:
The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...
FV = P(1 +r/n)^(nt)
For the given numbers, we want to find t:
6000 = 3700(1 +.062/2)^(2t)
Dividing by 3700 and taking the logarithm, we get ...
6000/3700 = 1.031^(2t)
log(60/37) = 2t·log(1.031)
Dividing by the coefficient of t gives ...
t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years
It will take about 7 years 11 months for the investment to grow to $6000.
a composit figure is made up of two figures
Using the formula for area of a circle:
Area = pi x radius^2
Replace area with the given value:
39.62 = pi x radius^2
Divide both sides by pi
Radius^2 = 39.62/pi
Radius^2 = 12.62
Solve for radius by taking the square root of both sides
Radius = sqrt(12.62)
Radius = 3.55 cm
Answer:
Step-by-step explanation:
The Answer is {x| x <-4 or x> 2}
