Answer:
The value will be $1,411.20
Step-by-step explanation:
What we do here is to set up an exponential equation to calculate the value.
Mathematically it will look like this;
V = I(1-r)^n
where V is the future value
I is the initial amount = 24,600
r is rate of decrease = 13.75% = 13.75/100 = 0.1375
n is the number of years = 15 years
substituting these values, we have
V = 24,600(1-0.1375)^15
V = 24600(0.8625)^15
V = 1,411.165582454129
= $1,411.20
Answer:
(4) 29, 33, 37
(6) 53, 59, 65
(5) -16, -20, -24
Step-by-step explanation:
Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>
The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
The answer is 7/16 in decimal it would be 0.4375 hope this helps