PQ + QR + RS = 18
PQ = 2x - 6; QR = 1; RS = x - 4
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
Answer: C. 9
10.5 - 8.7 = 1.8
There is 1.8 feet of pipe left
The numbers are 6 and -2.
6 + -2 is 4
as well as 6 x -2 is -12
Answer:
<h2>The year is 2010.</h2>
Step-by-step explanation:
The population of wolves is given by P(t) = 80(0.98)t.
The study has began in the year of 2000 and will end in 2020.
The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.
Hence, the maximum value of t is 11.
The domain is
.
The population will be 80, that is P(t) = 80.
Hence, 0.98t = 1, or, t =
≅1.
In (2009 + 1) = 2010, the population of wolves will be 80.
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%.