t = 5.3 years
(about 5 years 4 months)
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.2%/100 = 0.072 per year,
then, solving our equation
t = (1/0.072)((4835.6/3500) - 1) = 5.3
t = 5.3 years
Answer:(2x+5)(x+5)=0
Step-by-step explanation:
2x^2+15x+25=0
Factorise we have
2x^2+10x+5x+25
(2x^2+10x)+(5x+25)=0
2x(x+5)+5(x+5)=0
(2x+5)(x+5)=0
Answer: Geometric average return would be 0.10% and arithmetic average return would be 9.17%.
Step-by-step explanation:
Since we have given that
Returns are as follows:
7%, 25%, 175, -13%, 25% and -6%.
Geometric return is given by
![\sqrt[6]{(1+0.07)(1+0.25)(1+0.17)(1-0.13)(1+0.25)(1-0.06)}-1\\\\=\sqrt[6]{(1.17)(1.25)(1.17)(0.87)(1.25)(0.94)}-1\\\\=0.097\%=0.10\%](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B%281%2B0.07%29%281%2B0.25%29%281%2B0.17%29%281-0.13%29%281%2B0.25%29%281-0.06%29%7D-1%5C%5C%5C%5C%3D%5Csqrt%5B6%5D%7B%281.17%29%281.25%29%281.17%29%280.87%29%281.25%29%280.94%29%7D-1%5C%5C%5C%5C%3D0.097%5C%25%3D0.10%5C%25)
Arithmetic average return would be
Hence, geometric average return would be 0.10% and arithmetic average return would be 9.17%.
Answer:
390 ft²
Step-by-step explanation:
The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft² What is the area of the larger trapezoid?
We solve the above question using proportion
(Longer base/Area of trapezoid) smaller trapezoid = (Longer base/Area of trapezoid) bigger trapezoid
Let the the Area of the bigger trapezoid = x
Hence,
= 8ft/240ft = 13ft/x ft
Cross Multiply
8ft × x = 240ft × 13ft
x = 240ft² × 12 ft/8 ft
x = 390 ft²
