Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
The balance after 8 years is $22,942.67
<h3>
What is the balance after 8 years?</h3>
We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:
B = $7500*(1 + 15%/100%)^t
B = $7500*(1.15)^t
The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:
B = $7500*(1.15)^8 = $22,942.67
So the correct option is the last one.
If you want to learn more about exponentials:
brainly.com/question/2456547
#SPJ1
Each hiker owes $41 or 4100 cents for the hiking trip.
<u><em>Explanation</em></u>
Cost of each permit is $15. So, the cost of <u>two permits</u> will be: 
Cost of each tram ticket is $19. So, the cost of <u>three tickets</u> will be: 
Cost of <u>one can</u> of bear spray is $36.
So, the total cost of the hiking trip 
As the <u>three hikers</u> are dividing the total costs of the trip <u>evenly</u>, so each hiker owes 
or 4100 cents.
1) first find the ratio of gallons to minutes which is 150/6=25, so 25 gallons a minute.now divide 20,000 by 25=800 and that is the answer
2)so, we found the proportion 25:1 or 25 gallons a minute
3)we do the same thing we did for find, find the ratio per square feet 700/2=350, next we divide 1960 by 350. that should get you 5.6
Hope I helped! :)
