The cash flow in year 1 is $15.
<h3>What is the cash flow in year 1?
</h3>
A growing perpetuity increases continuously and indefinitely.
Cash flow = present value x (rate of return - growth rate)
214 x (10% - 3%)
214 x 0.07 = $15
To learn more about present value, please check: brainly.com/question/17322936
#SPJ1
Answer:
The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)
Step-by-step explanation:
When solving absolute value inequalities, there are two cases to consider.
Case 1: The expression within the absolute value symbols is positive.
Case 2: The expression within the absolute value symbols is negative.
The solution is the intersection of the solutions of these two cases.
In other words, for any real numbers a and b,
- if |a|> b then a>b or a<-b
- if |a|< b then a<b or a>-b
So, being |3x-9|≤15
Solving: 3x-9 ≤ 15
3x ≤15 + 9
3x ≤24
x ≤24÷3
x≤8
or 3x-9 ≥ -15
3x ≥-15 +9
3x ≥-6
x ≥ (-6)÷3
x ≥ -2
The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]
So, being |2x-3|≥5
Solving: 2x-3 ≥ 5
2x ≥ 5 + 3
2x ≥8
x ≥8÷2
x≥8
or 2x-3 ≤ -5
2x ≤-5 +3
2x ≤-2
x ≤ (-2)÷2
x ≤ -2
Expressing the solution as an interval: (-∞,2] ∪ [8,∞)
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Ok, so she has 14 tickets and each ride cost 2 so that can be modeled with the following expression: x= 14-2y since she initially bought 14 tickets and 2 times the number of tickets she spends. To find the equivalent expression you could basically switch up the formula like so: 7*2-2y=x because you just need an equivalent expression, and you don't need to have such a different formula or anything like that. Hope I helped!
Answer:
length = 13
Step-by-step explanation: