Answer:
208.5714
Step-by-step explanation:
how many weeks are in 4 years
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
6/9 and 16/18 is what we will mainly look at since the whole numbers are the same. the common denominator is 18. so you would multiply 6/9 by 2 (both the numerator and denominator multiplied by 2 ) therefore you will get 12/18. Which is bigger 12/18 or 16/18? 16/18 is bigger, therefore you would say sixteen and 6/9 is less than sixteen and 16/18. your answer should be this below. :)
16,6/9 < 16, 16/18.
The amount invested in the first account is $9,300 while the amount invested in the second account is $8,800.
<h3>
How do we calculate the amount invested?</h3>
Let x represents the amount invested in the first account.
Therefore, we have:
Amount invested in the second account = x - 500
Interest income from first account = 3% * x = 0.03x
Interest income from second account = 5% * (x - 500) = 0.05x - 25
Total interest income = 0.03x + 0.05x - 25 = 719
Solving for x, we have:
0.08x = 719 + 25
x = 744 / 0.08
x = $9,300
Substituting for x, we have:
Amount invested in the second account = $9,300 - $500 = $8,800
Learn more about the amount invested here: brainly.com/question/24132106.
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Equation 1 for tickets sold:
$35x + $25y = $10,250
Equation 2 for quantity (number #) of tickets sold:
x + y = 350
Use substitution method:
y = 350 - x
35x + 25 (350 - x) = $10,250
35x + $8750 - 25x = $10,250
10x + $8750 = $10,250
- $8,750 -$8,750
10x = 1,500
x = 150
y = 350 - 150
y = 200
Check the answers:
$35 (150) + $25 (200) =
$5,250 + $5,000 = $10,250
