Nicholas bought a new computer for $1,250. The value of the computer decreases by 17 percent every year. Approximately how much
1 answer:
Answer: The computer worth $ 492.38 after 5 years.
Step-by-step explanation:
If the value of an item depreciates by r% then the value of the item after t years is given by :-
, where = initial value.
Given: =$1,250, r=17% , t= 5 years
Then, the value of computer after 5 years =
Hence, the computer worth $ 492.38 after 5 years.
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Answer:
a. 0.4
b. Not independent.
Step-by-step explanation:
a. We use the probability table attached below for our calculations.
-the probability that an agreement is reached on both sides is obtained from the table:
b. To determine whether the two events are independent, we compare the probabilities and
where i denotes insurance and s denotes salaries:
Two events are considered to be independent, if and only if:
Hence, the events are not independent.
From the double-angle identity,
we can rewritte our given equation as:
By factoring 2cosx on the left hand side, we have
This equation has 2 solutions when
From equation (A), we obtain
and from equation (B), we have
On the other hand, we can find one more solution from the original equation by substituting x=0, that is,
then, x=0 is another solution. In summary, we have obtained the following solutions:
However, the intersection of the last set is empty. So the unique solution is x=0 as we can corroborate on the following picture:
Therefore, the solution set is: {0}
