Answer: 22
Step-by-step explanation:
Lines a and b are cut by transversal f.
Then from the given information,
[ If two parallel lines are cut by a transversal then, the alternate exterior angles are equal. ]
Hence, the value of x so that lines a and b are parallel lines cut by transversal = 22
Answer:
a. U(a) = 20000·0.9^a
b. about -$957 dollars per year
c. 13 years
Step-by-step explanation:
a) The age values are sequential, but the differences between "v" values are not constant. We suspect an exponential function. When we examine the ratios of adjacent table values, we find they are all 0.9, so the exponential function will be ...
U = (initial value)·(0.9^(age))
U(a) = 20000·0.9^a
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b) The average rate of change for the one year between age 7 and age 8 will be U(8) -U(7). A calculator evaluates that difference as -$956.59, about -$957.
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c) The car value drops by almost half in 6 years, so will drop by almost half of that in another 6 years. The car's age will be 12 or 13 years. A graph shows the age to be just over 13 years when the value is predicted to be $5000.
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A graphing calculator was used to evaluate the function and find the time associated with the given value. (See attached.) This is the "work" that was done to answer the questions.
The time to decrease to 1/4 of the original value can be found by solving ...
5000 = 25000·0.9^a
The solution is ...
a = log(.25)/log(0.9) ≈ 13.158 . . . . as found on the graph
Answer:
Step-by-step explanation:
First we need to change the mixed numbers into improper fractions.
9 x 10 = 90 + 1 = 91/10
4 x 4 = 16 + 3 = 19/4
Now we need to get them into simplest terms. There is a few ways to do this, but I know that 10 x 2 = 20 and 4 x 5 = 20 so I will use 20.
Now we can subtract:
And that leaves us with our answer :D