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Answer:
y = (7/9)x
Step-by-step explanation:
The equation of a straight line is given as y = mx + b, where y and x are variables, m is the rate of change = change in y / change in x, while b is the y intercept (value of y when x = 0).
When no pint is used, there is no frozen yoghurt. But from 9 pints, 7 large servings of frozen yogurt is made. Let x represent the number of pints and the y represent the number of servings.
Hence, using y = mx + b, we get b = 0, because at 0 pint there is no servings. The equation be comes y = mx
m = change in y / change in x = 7 servings / 9 pints
m = 7/9
The equation is:
y = (7/9)x
Answer:
Dale will reach his goal at an annual rate of 11.83%.
Step-by-step explanation:
The formula for continuos compounding is given by:
In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.
Dale has 2000 dollars to invest.
This means that
He has a goal to have 5800 in this invest ment in 9 years.
So
At what annual rate compounded continuously will Dale reach his goal?
This is r.
Dale will reach his goal at an annual rate of 11.83%.
Answer:
The slope of the line is 0.5 or also shown as, 1/2.
Step-by-step explanation:
The slope of a line is the rise over the run or the steepness to a line in a linear equation. To find the slope of an equation shown on a graph, we can use the formula :
So, from here, all we do is plug in the values by finding two points of the line shown.
(-4, -4) and (4,0) are two points, that are shown on the line.
(x1, y1) and (x2, y2) are the individual parts of the coordinates, so we can plug the values in at the correct places
0--4 =4
4--4 = 8
4/8 = 0.5
The slope of the line is 0.5 or also shown as, 1/2.