4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
This is calculated using the formula of: A = Pe(rt), where A is the total amount, P is the principal amount, e is mathematical constant approximately equal to 2.71828, r is the rate of interest, then t is the time in years.
Given we have the P as $12,000, r is 0.064 and t is 12, we expressed these values to the formula as;
A = Pe(rt)
A = 12,000.e(0.064 x 12)
A = 12,000 x 2.71828e
A = 12,000 x 2.155
A = $25,860
Therefore the money that Ann will have in 12 years is $25,860.
1 hour or 60 minutes bcuz 15×4=60 and 20×3=60
Answer:
<h2><u>FILL IN THE BLANKS </u></h2>
Linear velocity is the change in distance over time, where the distance is<u> the circumference of a circle </u> . It can be represented by v=st or <u>v = Фr/t</u>
Angular velocity is the change in distance over time, where distance is<u> the change is angle measure</u>
Angular velocity is represented as ω=θ/t .
This means that linear velocity is the product of <u>the radius and the angular velocity.</u>
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