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3 years ago

7

Matthew is going to invest in an account paying an interest rate of 5.5% compounded monthly. How much would Matthew need to inve

st, to the nearest ten dollars, for the value of the account to reach $221,000 in 17 years?

1 answer:

atroni [7]3 years ago

6 0

Answer:

P=86950

Step-by-step explanation:

A=P(1+r/n)^nt

Compound interest formula

A=221000

t=17

r=0.055

n=12

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4 years ago

Consider the following vector function. R(t) = 9 2 t, e9t, e−9t (a) find the unit tangent and unit normal vectors t(t) and n(t)

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The unit tangent vector is T(u) and the unit normal vector is N(t) if the vector function. R(t) is equal to 9 2 t, e9t, e−9t.

<h3>What is vector?</h3>

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

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$\rm R(t) = (9\sqrt{2t}, e^{9t}, e^{-9t})$

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Now, finding the derivative of T(u), we get:

$\rm T'(u) = \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t}), 18e^{18t}, 18e^{18t})$

Now finding its magnitude:

$\rm |T'(u) |= \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t})^2+ (18e^{18t})^2+( 18e^{18t})^2)$

After simplifying, we get:

$\rm |T'(u)|= \dfrac{9\sqrt{2}e^{9t}}{e^{18t}+1}$

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Divide T'(u) and |T'(u)|

We get:

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Learn more about the vector here:

brainly.com/question/8607618

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