Answer:
Annually: Total Amount = 1611.76, Interest Amount = 711.76
Semiannually: Total Amount = 1625.50 , Interest Amount = 725.50
Quarterly: Total Amount = 1632.62 , Interest Amount = 732.62
Step by Step Explanation:
We can see from the table that the factor that we need to multiply with 900 in order to get amount for compounded annually is 1.7908477. Therefore, our total amount is 1.7908477*900 = 1611.76 and interest earned is 1611.76-900 = 711.76.
The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8061112. Therefore, our total amount is 1.8061112*900 = 1625.50 and interest earned is 1625.50-900 = 725.50.
The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8140184. Therefore, our total amount is 1.8140184*900 = 1632.62 and interest earned is 1632.62-900 = 732.62.
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:
y = 8x + 38
Step-by-step explanation:
To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)
y = mx + b
y = 8x + b
6 = 8(-4) + b
6 = -32 + b
+32 +32
38 = b
So using our slope and our intercept we have our slope intercept
y = mx + b
y = 8x + 38
Hope this helps :)