Answer: d = 29 miles
Step-by-step explanation:
S11°W = 259° on a unit circle
N75°E = 15° on a unit circle
x separation after two hours
x = 2(8cos15 - 18cos259) = 21.179 miles
y separation after two hours
x = 2(8sin15 - 18sin259) = 19.7398 miles
total distance between them is
d = √(19.7398² + 21.179²) = 28.9518... ≈ 29 miles
C. 16.4
Step-by-step explanation:
The formula to apply here is;
A=P(1+r/n) ^nt where
A=final amount
P=starting amount
r=rate of interest annually
n=number of compounding per year
t=time in years
Given ; P=$500, A=$750 , r=2.5%=0.025 , t=?,n=1
Substitute values;
A=P(1+r/n)^nt
$750=$500(1+0.025)^t
750=500(1.025)^t
750/500=(1.025)^t
1.5=(1.025)^t
log 1.5 =t log (1.025)
log 1.5/log 1.025 = t
16.4 =t
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Compound interest formula :brainly.com/question/12148233
Keywords : bank account, interest per year, value of account, years
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-50 + 17 = - 33
-33 + 17 = -16
- 16 +17 =1
This is arithmetic sequence, where 1st term is -50,
and common difference is 17.
Formula for the term of arithmetic sequence
a(n) = a(1) +d(n-1) = -50 +17(n-1) = -50 +17n - 17 = -67 +17n
So, we can write a formula
a(n) = -67 +17n
2.75 miles = 45 m
1 m = 11 / 180 mile
1 hour = 3/3/2 miles or 3.67
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