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4 years ago

Of the 125 guests invited to a wedding,104 attended the wedding.what precent of the invited guests attended the wedding

Mathematics

2 answers:

skad [1K]4 years ago

6 0

104/125
=<span>0.832
83.2% of people that were invited attended the wedding</span>

GalinKa [24]4 years ago

3 0

100 divided by 125 is .8 then multiply that by 104 and it comes at as 83.2

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3 years ago

Jason wants to receive monthly payments of $3,250 for 15 years. How much does he have to invest now in an annuity that has an an

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The amount she should invest today in the annuity is $455,450.40.

<h3>How much should be invested today?</h3>

The first step is to determine the future value of the monthly annuity.

Future value = monthly payment x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

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2 years ago

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3 years ago

Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.

melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten from the factoring.

$x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0$ . Then, you have 3 equations.

From the Zero Factor Principle, you can write

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(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

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Equation 3

x²-x+1=0

$x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}$

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).