Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula . Substitute the x and y values of the two points into the formula and solve:
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of is since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of , isolate y to put the equations into slope-intercept form ( format), and whatever the coefficient of the x-term is will be the slope.
.
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
The answer is 35
0.1x - 2.5 = 1.0
0.1x = 3.5
x= 35
Answer:
Step-by-step explanation:
2x - 3y = 14
<u>x + 3y = -11 </u> Add the functions
3x + 0y = 3 ----> x=1
2(1) - 3y = 14
2 - 3y = 14
-3y = 12
y = -4
17% of 2,900 is 493. So in twelve years that is 3016 animals lost. It goes into the negative numbers
9514 1404 393
Answer:
B. Between 9% and 9.9%
Step-by-step explanation:
The equation for the sum of a series of monthly payments P earning interest rate r compounded monthly for t years is given by ...
A = P((1 +r/12)^(12t) -1)/(r/12)
The number of years in this case is ...
70 -18 = 52
We want to find r such that ...
1,000,000 = 50·12((1 +r/12)^(12·52) -1)/r
10,000/6 = ((1 +r/12)^624 -1)/r
We can try some values for r to see what may work.
<u>r = 9%</u>
((1 +.09/12)^624 -1)/.09 = 1165.60 . . . not quite enough
<u>r = 10%</u>
((1 +0.10/12)^624 -1)/0.10 = 176408 . . . > 1666.67
The required interest rate will be between 9% and 10%, option B.
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In general, finding the exact interest rate is an iterative process. A financial calculator can do it for you. The result is near 9.86%. The graph shows a solution using a graphing calculator.