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2 years ago

7

Kenji invests $3,500 at an interest rate of 3%, compounded monthly. How much is the investment worth at the end of 5 years?

2 answers:

svlad2 [7]2 years ago

8 0

With an interest rate of 3%, after 5 years, he'd have $27,000, if that is to be added to the original value of $3,500, Kenji's investment would be worth $30,800. So either $27,000 or $30,800.

Morgarella [4.7K]2 years ago

4 0

3500(1 + .03/12)^12(5)
3500(1.0025)^60

The answer is:
$4,065.66 or $4,066

Hope this helps :)

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Multiply<br> 6 2/3 * 3 6/7

hodyreva [135]

Answer:

180/7 or 25 5/7

Step-by-step explanation:

20/3 * 27/7

cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.

So the answer come out.

180/7 or 25 5/7

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2 years ago

A recycling box has a square base with sides measuring 18 inches. The box is 16 inches tall. How much recycling can the inside o

RUDIKE [14]

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2 years ago

The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

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and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

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Again,

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The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

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$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

2 years ago

Simplify 6 to the second power

kirill115 [55]

Answer:

<h2>36</h2>

Step-by-step explanation:

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8 0

3 years ago

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8_murik_8 [283]

Answer:

Step-by-step explanation:

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4x + 6ydy/dx -(4xdy/dx +4y) = 0

4x + 6ydy/dx - 4xdy/dx -4y = 0

Collecting like terms

4x-4y+6ydy/dx - 4xdy/dx = 0

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dy/dx = 2(2y-2x)/2(3y-2x)

dy/dx = 2y-2x/3y-2x proved!

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3 years ago