Age If you add Natalie's age and Fred's age, the result is 43. If you add Fred's age to 4 times

Three year ago , Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increase

DIA [1.3K]

End of First Year (750/100)x12(3/5)=54 $750+54=804
End of Second Year (804/100)x12(3/5) = 58 $804+58=862
End Of Third Year (862/100)x12(3/5) = 62 $862+62=924

STOCK WORTH NOW = 924

5 0

2 years ago

Area of regular polygons

Finger [1]

Hello!

To find the area of a hexagon you do 3 $\frac{3 \sqrt{3} }{2} } a^{2}$ where a is one of the sides

Since the perimeter is 60 we can do 60/ the sides of the shape

60/6 = 10

So one side is equal to 10

you put that into the formula to get the area of a hexagon and you get 259.81

Hope this helps!

8 0

3 years ago

Divide the difference of 50 and 10 by the sum of 3 and 2. what expression represents the statement?

Makovka662 [10]

Answer:

(50-10) ÷ (3+2)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

3 0

2 years ago

Read 2 more answers

determine the most appropriate hypothesis test to use for the following scenario: the august 2008 edition of academy of manageme

seraphim [82]

Answer:

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

Step-by-step explanation:

<u><em>Testing hypothesis about a population proportion when sample size is large.</em></u>

If the sample size is large then the variable

z= p^-p / sqrt [pq/n]

is approximately standard normal.

Formulate the hypotheses as

H0 : p < 30% against the claim Ha: p ≥ 30%

Choose the significance level ∝= 0.05

the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.

Computing

Z= 748-(2778*0.3)/ √2778*30/100*70/100

z= 748-833.4/√583.38

z= -85.4/24.153

z=-3.5357

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

The p- value is 0.0002

7 0

3 years ago