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Mars2501 [29]
3 years ago
11

Jill Ley took out a loan for $60,000 to pay for her child's education. The loan must be repaid at the end of eight years in one

payment with interest of 6%. The total amount Jill has to pay back at the end of the loan is?
Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

I believe the answer would be $63,600.

Hope this helps ;}

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
A family has two cars. the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of
marusya05 [52]
Car 1 consumes 30 gallons of gas.Car 2 consumes 20 gallons of gas.
7 0
3 years ago
Evaluate A² for A = -3.<br> O-6<br> O 9<br> O 6<br> O-9
Annette [7]

Answer:

A² = 9

Step-by-step explanation:

substitute A = - 3 into A² , that is

A² = (- 3)² = - 3 × - 3 = 9

3 0
2 years ago
Skylar and Rodrigo each recorded how far they traveled while skateboarding. Skylar traveled 65 feet in 5 seconds and Rodrigo tra
nikklg [1K]

9514 1404 393

Answer:

  1/2 ft

Step-by-step explanation:

Skylar's speed was ...

  (65 ft)/(5 s) = 13 ft/s

Rodrigo's speed was ...

  (108 ft)/(8 s) = 13.5 ft/s

Rodrigo traveled farther by (13.5 -13) = 0.5 ft per second.

7 0
3 years ago
17. In a recent l0-year period, the change
Ronch [10]

Answer:

i think it would be 5,000 but im not for sure

Step-by-step explanation:

4 0
3 years ago
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