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3 years ago

Use the example above and determine the fraction of total interest owed.

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

Answer:

Step-by-step explanation:

WINSTONCH [101]3 years ago

3 0

Answer:

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64.1

Hope this helps :) -Zach

Step-by-step explanation:

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Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

4 0

3 years ago

Super confused definitely need help on this

Marat540 [252]

Answer:

$(x-5)(x+8)=x^2+3x-40$

Step-by-step explanation:

So we have the expression:

$(x-5)(x+8)$

To multiply, distribute the left to the terms on the right:

$=(x-5)(x)+(x-5)(8)$

Distribute:

$=(x^2-5x)+(8x-40)$

Combine like terms:

$=(x^2)+(-5x+8x)+(-40)$

Simplify:

$=x^2+3x-40$

Therefore:

$(x-5)(x+8)=x^2+3x-40$

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3 years ago

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Nataliya [291]

Answer:1/2
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3 years ago

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If you can answer this and show your work ill give brainly

Arlecino [84]

Answer:

First answer is 127 and second answer is 15

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2 years ago

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Solve the system of equations y=x-4, y=-3x

abruzzese [7]

Y=x-4
x=y+4
y=-3(y+4)
y=-3y-12
4y=-12
y=-3
x=1

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3 years ago