A small country in Europe has been experiencing population growth that can be modeled by the equation y=120,000(1.042)^x where y is the population of the country and x is the number of years since 2010. What is the percent change in the population of the country each year?
Answers
If you multiply some value to 1.042 this means that you are adding 4.2 %
See in the expression of formula that appears just the cited figure: "1.042"
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Answer:
- y = 260x + 700
- $5900
Step-by-step explanation:
We can describe it as a linear function with points of:
- (5, 2000) and (15, 4600)
Slope intercept formula:
- y = mx +b
Finding the slope using the two given points:
- m = (4600-2000)/(15-5) = 2600/10 = 260
Finding b:
- 2000 = 5*260 + b
- b = 2000 - 1300 = 700
Formula obtained:
- y = 260x + 700
For x = 20, value of y is:
- y = 260*20 + 700 = 5200+700 = $5900
Final answer:
To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.
Explanation:
To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:
slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260
y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700
Therefore, the equation of the line is y = 260x + 700.
To find the cost to produce 20 heaters, we substitute x = 20 into the equation:
y = 260 * 20 + 700 = 5200 + 700 = 5900
So, the cost to produce 20 heaters is $5900.
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Answers
Answer:
no
Step-by-step explanation:
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Answer:
10.98
Step-by-step explanation:
the answer to 9.1×8.31 is 10.98
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Answer:
Step-by-step explanation:
-i= -i
-i^2= 1
-i^3= -i * 1 = -i
-i^4= 1 * (-1) = -1
-i^5= -i
-i^6= 1
Answer: -1
Step-by-step explanation:
look at the screenshot
Answers
The two-column proof should be completed with the following reasons that justifies the statements;
Statement Reason_______
XZ + ZY = XY a. Transitive Property
3(n - 2) + 3n = 36 b. Distributive Property
3n - 6 + 3n = 36 c. Combine like terms
6n - 6 = 36 d. Addition Property of Equality
6n = 42 e. Division Property of Equality
n = 7 f. Division Property of Equality
What is the Segment Addition Postulate?
In Euclidean Geometry, the Segment Addition Postulate states that when there are two end points on a line segment, a third point would lie on the line segment, if and only if the magnitude of the distances between the end points satisfy the requirements of these equations;
3(n - 2) + 3n = 36 (Distributive Property)
3n - 6 + 3n = 36 (Combine like terms)
6n - 6 = 36 (Addition Property of Equality)
6n = 42 (Division Property of Equality)
n = 7 (Division Property of Equality)
This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.
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Answer:
A. -4
B. -1/4
C. 1/4
D. 4
Answers
Answer:
Step-by-step explanation:
The equation of a line is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept. To find the slope of the line, we need to look at the coefficient of x in the equation. In this case, the coefficient of x is 1, so the slope of the line is:
m = 1
Therefore, the slope of the line is 1.