Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
<em></em>
Therefore, the angle between their paths is <em>100.8°</em>
Answer:
64
Step-by-step explanation:
Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5
First step is to determine Jerry total deposit
over the two years
Total deposit = 24×$5
Total deposit= $144
Now let determine what the correct balance will be at end of two years
Using this formula
Maximum Amount=Principal (1+r)^t
<em>Where</em>:
Principal=$144
r=4.8%/12 = 0.4% or 0.004
t=24 months
Let plug in the formula
Maximum Balance = $144 (1.004)^24
Maximum Balance = $158.5
Based on the above calculation both Jerry $100 and Benny $163 balance are eliminated or rule out because the correct balance after two years is $158.5
Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5
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brainly.com/question/3658861
A would equal negative 60
2.25 days i would assume if they each wat once a day. However there isn’t enough info because we dont know how often they’re eating.