The answer is b I hope it’s correct because I got the same question and I got it correct
Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n
Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54
The second option is correct.
Answer: C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
Step-by-step explanation:
Given that :
Number of observations = 40
Linear Correlation Coefficient (R) = 0.464
The Coefficient of determination ( R^2) =?
The Coefficient of determination (R^2) is the squared value of the linear correlation Coefficient value (R) . The value value ranges from 0 to 1 and depicts the proportion of the variation in the dependent variable that can be accounted for by the independent variable.
For the scenario given above,
The Coefficient of determination (R^2) = 0.464^2 = 0.215296 = (0.215296 * 100%) = 21.5%
This means that 21.5% of the variation can be explained by the relationship between both variables while (100% - 21.5% = 78.5%) can be explained by other factors.
Answer:
B.
Step-by-step explanation:
Credit cards act as currency that you don't have in the moment, however you have to pay the bill each month
Answer:
Step-by-step explanation:
![\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\](https://tex.z-dn.net/?f=%5Cfrac%7B-3%2B7i%7D%7B-6-7i%7D%20%5Ctimes%20%5Cfrac%7B-6%2B7i%7D%7B-6%2B7i%7D%20%3D%5Cfrac%7B18-21i-42i-49i%5E2%7D%7B%28-6%29%5E2-%287i%29%5E2%7D%20%5C%5C%3D%5Cfrac%7B18-63i%20-49%28-1%29%7D%7B36-49i%5E2%7D%20%5C%5C%3D%5Cfrac%7B18%2B49-63%20i%7D%7B36-49%28-1%29%7D%20%5C%5C%3D%5Cfrac%7B67-63i%7D%7B36%2B49%7D%20%5C%5C%3D%5Cfrac%7B67-63i%7D%7B85%7D%20%5C%5C%3D%5Cfrac%7B67%7D%7B85%7D%20%2B%28%5Cfrac%7B-63%7D%7B85%7D%20%29i%5C%5C)
![a=\frac{67}{85} \\b=\frac{-63}{85}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B67%7D%7B85%7D%20%5C%5Cb%3D%5Cfrac%7B-63%7D%7B85%7D)