Answer:
$2500
Step-by-step explanation:
Let x represent the amount invested at 7.5%. Then the total annual interest received is ...
0.075x + 0.06·5000 = 0.065(x+5000)
0.01x = 25 . . . . . . simplify, subtract (.065x+.06·5000)
x = 25/0.01 = 2500
Ben must invest $2500 at 7.5% to ensure an average return of 6.5%.
Answer:
x - intercept = 0 and y - intercept = 0
Step-by-step explanation:
Using the two point slope intercept form, the formula is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
We are given the intercepts to be at
(2,1) and (6,3).
So, x1 = 2 and x2 = 6,while y1 = 1 and y2 = 3
Plugging into the equation, we have;
(y - 1)/(x - 2) = (3 - 1)/(6 - 2)
(y - 1)/(x - 2) = 2/4
(y - 1)/(x - 2) = 1/2
Cross multiply to get;
2(y - 1) = x - 2
2y - 2 = x - 2
2y = x
Now, the x intercept will occur at y = 0.
Thus,
2(0) = x
x = 0
Also, the y intercept occurs when x = 0.
So, 2y = 0
y = 0
x - intercept occurs at (0,0) and y - intercept occurs at (0,0)
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We move all terms to the left:</span>
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We add all the numbers together, and all the variables</span>
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We move all terms containing y to the left, all other terms to the right</span>
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Answer:
64%
Step-by-step explanation:
The coefficient of correlation measures the degree of association between two variables :the dependent and independent variables. It is denoted r, and a positive r such as 0.8 here means there's is a strong relationship between variables likewise a negative -r which only means one variable increases as the other decreases(opposite of r positive coefficient).
When the r coefficient of correlation is squared, we get a coefficient of determination which is used to measure the percentage of change regarding how the independent variable affects the dependent. This is illustrated in our answer where we square our coefficient of correlation to get the coefficient of determination 64% meaning that x which is size of the house will affect 64% of y which is the price of the house