For this case we have the following inequality:
To find the solution we follow the steps below:
We apply distributive property on the right side of inequality:
Adding 13 to both sides of the inequality we have:
We subtract 6x on both sides of the inequality:
Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.
Answer:
The solution set is (-∞,∞)
Answer: <em>$20.56</em>
Step-by-step explanation:
<em>Let's take our given total and use this equation</em>
<em>25.70(n)</em>
<em>n will equal 0.80 in this case, as they left a 20% tip so we need to find out what 80% of 25.70 is first</em>
<em /><em />
<em>$20.56 is the total without the tip!</em>
Answer:
8
Step-by-step explanation:
Given:
Annuity at time (n + 1) = 13.776
(1 + i)ⁿ = 2.476
Now,
here, d =
thus,
or
d = 0.1071
therefore,
d =
or
0.1071 =
or
0.1071 + 0.1071i = i
or
i = 0.1199
now,
(1 + i)ⁿ = 2.476
or
(1 + 0.1199)ⁿ = 2.476
1.1199ⁿ = 2.476
taking log both sides
n × log(1.1199) = log(2.476)
or
n = 8.006 ≈ 8
hence,
the answer is 8
Answer:
0.97
Step-by-step explanation:
Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.
Both alarms are independent of each other.
Probability for smoke detection=P(any one alarm rings)
=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)
Since both are independent
P(Both) =
Probability for smoke detection
= 0.95+0.40-0.38
=0.97