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True [87]
4 years ago
10

your coin collection contains fifty 1952 silver dollars. If your grandparents purchase for ttheir face value when they wee new,

how much will your collection
Mathematics
1 answer:
iren2701 [21]4 years ago
6 0

Answer:

Hello your question lacks some vital information here is the complete question

Your coin collection contains fifty 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2060, assuming they appreciate at a 4.1 percent annual rate?

Answer : $3,833.97

Step-by-step explanation:

Given data :

fifty (50) 1952 silver dollars

interest rate (appreciation rate) : 4.1%

How much will the collection be worth in 2060

we can calculate this by applying this formula

FV = PV ( 1 + r )^t

r = 0.041

Pv = $50

t = 108 ( 2060 - 1952 )

Fv = $50 ( 1.041)^108  = $3833.97

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Answer:

The corresponding point for the function  f(x - 4) is (4 , 1)

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- If the function f(x) translated horizontally to the right by h units, then

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- If the function f(x) translated horizontally to the left by h units, then

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- The given function is f(x)

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- We need to find the corresponding point of (0 , 1) for the function

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∵ x subtract by 4

∴ f(x) translated horizontally four units to the right

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* The corresponding point for the function  f(x-4) is (4 , 1)

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Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360
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\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]

\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

   \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]

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Distance equals rate times time, so:
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