Answer:
Jocelyn's plane travelled 3650 miles.
Step-by-step explanation:
mph stands for miles per hour.
Let's set up an equation.
total miles = speed(hours)
Jocelyn's plane travelled 500 mph for 7.3 hours.
total miles = 500(7.3)
Multiply.
total miles = 3650
Jocelyn's plane travelled 3650 miles.
Hope this helps!
Answer:
answer is : Cos(13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos(3pi/2 + pi/8)
applying formula cos(A+B) = cos A cosB - sinAsinB
i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)
∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1
Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)
Cos(3pi/2 + pi/8) = 0 + 0.3826
Cos(3pi/2 + pi/8) = 0.3826
Hence we got Cos(13pi/8) = 0.3826
Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula
A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years
Divide both sides by 300
take 'ln' on both sides
ln(3) = 0.035t ln(e)
ln(e)= 1
t= 31.3889
Round to nearest whole number
t= 31 years
X=2
Hope that helps!
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