Answer:

Step-by-step explanation:
GIVEN: Daniel invests
in a retirement account with a fixed annual interest rate of
compounded
times per year.
TO FIND: What will the account balance be after
years
SOLUTION:
Amount invested by Daniel 
Annual interest rate
Total amount generated by compound interest is 
Here Principle amount 
rate of interest 
number of times compounding done in a year 
total duration of time 
putting values we get
=


Hence the total balance after
will be 
Because y=3x has a coefficient of 3 and y=x3 does not have a coefficient because the variable is the first terms. therefore it is not an exponential function.
Answer: D) 300 degrees (counterclockwise)
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We want to have segment PQ rotate around the center so that it lines up with segment RF. Put another way: we want point P to rotate around the center to have it line up with point R, and we want Q to rotate so that it moves to point F.
Going clockwise, this is a rotation of 60 degrees as the diagram below shows (each blue arc is 30 degrees, so in total it's 30+30 = 60). In that diagram, I'm only focusing on moving point P. Point Q moves in a similar fashion. Since 60 is not an answer, this means 360-60 = 300 must be the answer.
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Answer:4
Step-by-step explanation:
34-30=4