s108870
11.12.2019 •
Mathematics
Sam purchased a new car for $17,930. the value of the car depreciated by 19% per year. when he trades the car in after x years, the car is worth no more than $1,900.
fill in the values of a, b, and c to complete the exponential inequality of the form a(b)x ≤ c that can be used to determine the number of years after which the car is worth no more than $1,900.
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Ответ:
Step-by-step explanation:
The decay factor for 19% per year depreciation is 1 - 0.19 = 0.81, so the exponential expression for the value of the car after x years is ...
17930·0.81^x
We want to write an inequality that compares this value to $1900, so that inequality will be ...
17930·0.81^x ≤ 1900
Comparing this to the given form, we see that ...
a = 17,930
b = 0.81
c = 1,900
The solution is x ≥ 10.6521.
Ответ:
Statement 1 : True
Statement 2: False
Statement 3: False
Statement 4:True
Statement 5:False
Statement 6:True
Step-by-step explanation:
Given :
To Find: Which statements about the system are true?
Solution:
Slope intercept form:
where m is the slope
Convert the given equations in slope intercept form
Equation 1:
--A
On comparing with general form
Slope = m =
Equation 2:
--B
On comparing with general form
Slope = m = 1
Substitute the value of x form B in A
Substitute the value of y in B to get value of x
Thus the solution is (0,5)
Thus The system has one solution.
So, Statement 1 is true
Since the slopes of the given lines are not same so the lines are not parallel
Thus the statement 2 is false.
Slope of line 1 is and slope of line 2 is 1
Since the slopes are not same
So, statement 3 is false.
Equation 1:
To find y intercept substitute x =0
Equation 2:
To find y intercept substitute x =0
So,statement 4 is true Both lines have the same y-intercept.
Statement 5: The equations graph the same line.
Statement 5 is false (refer the attached graph)
Statement 6 is true The solution is the intersection of the 2 lines (refer the attached graph)