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dezoksy [38]
3 years ago
14

Compare and order the following numbers: √21, 5.2, -4.6, and 39/10 *

Mathematics
1 answer:
Mumz [18]3 years ago
8 0

Answer

f

Step-by-step explanation:

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A share of Orange stock that was worth $25 in 2000 increased exponentially to $72 in 2010. What is the annual multiplier and wha
umka21 [38]
\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\stackrel{multiplier}{\textit{initial amount}}\\
r=\stackrel{increase~rate}{rate\to r\%\to \frac{r}{100}}\\
t=\textit{elapsed time}\\
\end{cases}\\\\
-------------------------------

\bf \textit{we know that in }\stackrel{year~0}{2000}\textit{ there were }\stackrel{A}{\$25}\implies 25=I(1+r)^0
\\\\\\
25=I(1)\implies 25=I\qquad \qquad \boxed{A=25(1+r)^t}\\\\
-------------------------------\\\\
\textit{we also know that in }\stackrel{year~10}{2010}\textit{ it turned to }\stackrel{A}{72}\implies 72=25(1+r)^{10}

\bf \cfrac{72}{25}=(1+r)^{10}\implies \sqrt[10]{\frac{72}{25}}=1+r\implies \sqrt[10]{\frac{72}{25}}-1=r
\\\\\\
0.111576\approx r\implies r\%=100\cdot 0.111576\implies r\approx \stackrel{\%}{11.1576}
6 0
3 years ago
Solve x²+5x+6=0 by completing the square​
Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

4 0
3 years ago
9. Change the given equation to the form y = mx + b. Give the values of b and m.
rosijanka [135]
X+4y=16
subtract x
4y = -x+16
divide 4 from 4y and divide by 4 on other side too
(4y/4) = (-x/4) + (16/4)

y=-1/4x+4
M=-1/4
B=4
8 0
3 years ago
Candy's Sweets Company charges $1.15 per pound to ship candy.
Alex73 [517]

Answer:

Part A: c = 1.15p

c = 1.15(2) c = 2.30

Part B: c = 0.9p

c = 0.9(4) c = 3.60

8 0
2 years ago
Read 2 more answers
Please help me with this <br> Thanks
alexira [117]
So you make them the same common denominator
As you see, 2/10 = 8/40
2/4 = x/40, multiply by 10
2/4 = 20/40
Then add because same denominator
Now you would get:
8/40 + 20/40 = 28/40
7 0
3 years ago
Read 2 more answers
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