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denpristay [2]
3 years ago
11

Lenny has a remaining balance on his credit card of $3,000. His credit card has an APR of 20 percent. How much will he pay in in

terest in one month?
$50.20
$600
$50.00
$6.00
Mathematics
1 answer:
VMariaS [17]3 years ago
4 0
A=p(1+i/m)^mn
P=3000
i=0.20
M=12
n=1/12
A=3,000×(1+0.20÷12)^(12*1/12)
=3,050
Interest earned=3050-3000=50
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a. Identify the ship's vector

Since the ship moves through water at 30 miles per hour at an angle of 30° south of east, which is in the fourth quadrant. So, the x-component of the ship's velocity is v₁ = 30cos30° = 25.98 mi/h and the y-component of the ship's velocity is v₂ = -30sin30° = -15 mi/h

Thus the ship's velocity vector as ship moves through the water v = v₁i + v₂j = 25.98i + (-15)j = 25.98i - 15j mi/h

b. Identify the water current's vector

Also, since the water is moving at 5 miles per hour at an angle of 20° south of east, this implies that it is moving at an angle 90° - 20° = 70° east of north, which is in the first quadrant. So, the x-component of the water's velocity is v₃ = 5cos70° = 1.71 mi/h and the y-component of the water's velocity is v₄ = 5sin70° = 4.7 mi/h

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The velocity vector representing the ship's actual motion is V = velocity vector of ship as ship moves through water + velocity vector of water current.

V = v + v'

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= (25.98i + 1.71i + 4.7j - 15j )mi/h

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