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alex41 [277]
3 years ago
12

What is the lastcommon denominatorof 9/10 and 3/5​

Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer:

If when you say last you mean least common denominator it is 10

Step-by-step explanation:

9/10 and 6/10 have the same denominator.

Sindrei [870]3 years ago
5 0
5,10,15,20,25,30,35,40
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Multiply and simplify (4x-2)(3x^2-2x+1) Write answer in standard form
hjlf

Answer:

<h3>12<em>x</em>^3 - 14<em>x</em>^2 + 8<em>x</em> - 2</h3>

7 0
2 years ago
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Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
Given I=prt,where I=4.5,p =500,and t=2.5,what is r as a percent?
KIM [24]
PLUG in the numbers 
4.5=500 x R x 2.5
divide both sides by 500
0.009=R x 2.5
divide 2.2 to both sides 
R=.0036
In percent you have to multiply by 100 which is 0.36%
8 0
3 years ago
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

6 0
2 years ago
a 12- inch ruler is duvided into 3 parts. the large part is 3 times longer than the small. the meddium part is times longer than
damaskus [11]

Answer:

2 inches

Step-by-step explanation:

x= smallest

3x=largest

2x=medium

x+3x+2x=12

6x=12

x=2

so smallest is 2

largest is 6 (3x)

medium is 4 (2x)

2+6+4=12

6 0
3 years ago
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