A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose %, and in 2014, the stock price declined %. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $ at the end of 2014. Required:
Compute the geometric mean rate of return per year of the two-year period 2013-2014.

Complete question :

A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose 34.83 %, and in 2014, the stock price declined 8.2%. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $ at the end of 2014.

0.2078330

Step-by-step explanation:

The geometric mean is calculated using :

[((1 + r1)(1+r2)(1+r3)...(1+rn))^(1/n) ]- 1

From the question:

2014 stock decline = 8.2% = rate 1(r1) = 0.082

2013 stock increase = 34.83% rate 2(r2) = 0.3483

Number of observations (n) = 2

Hence, geometric mean:

[((1 + r1)(1 + r2))^(1/n)] - 1

[((1 + 0.082) (1 + 0.3483))^(1/2)] - 1

Sqrt[(1.082)(1.3483)] - 1

Sqrt(1.4588606) - 1

= 1.2078330 - 1

= 0.2078330

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?