Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular line are opposite and reciprocal.
So I flip 3x to 1/3 and change both signs. negative to positive and positive to negative.
Answer: $7800 was invested at 9%
$5900 was invested at 3%
Step-by-step explanation:
Let x represent the amount invested in the fund that paid a dividend of 9%.
Let y represent the amount invested in the fund that paid a dividend of 3%.
Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that
0.09x + 0.03y = 879- - - - - - - - - 1
This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that
0.1x + 0.01y = 839 - - - - - - - - - -2
Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes
0.009x + 0.003y = 87.9
0.009x + 0.0009y = 75.51
Subtracting, it becomes
0.0021y = 12.39
y = 12.39/0.0021
y = 5900
Substituting y = 5900 into equation 1, it becomes
0.09x + 0.03 × 5900 = 879
0.09x + 177 = 879
0.09x = 879 - 177
0.09x = 702
x = 702/0.09
x = 7800
Answer: 
Step-by-step explanation:
Given, A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
Here , 1,627 adults are determining the sample.
Thus, sample size : n = 1627
Also, the sample proportion of adults felt fully engaged with their mortgage provider are 
for 95% confidence level , critical z-value =1.96
Then , the 95% confidence interval would be :-
Substituting values , we get
Hence, the required 95% confidence interval using only 1 decimal : .
Sum means add. Then we get twice. This means to multiply by 2. Twice a number means we have 2x. And is what we need to add to that 2x, so it is 2x + 13. Is means equals, so answer is 2x + 13 = 75.
Answer:
7/12 or 0.583333333333...
Step-by-step explanation:
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