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Alex73 [517]
3 years ago
7

22.5% written as a fraction in simplest form

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0
22.5% written as a fraction in simplest form is 9/40 . Hope i helped. 
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Find the length of st​
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3 years ago
Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.
alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes m_1 and m_2 are parallel when m_1=m_2 and are perpendicular when m_1*m_2=-1

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0
3 years ago
If you deposit Tsh 4000 into an account paying 9% annual interest compound monthly ,low long until there is Tsh 10000 in the acc
pav-90 [236]

Answer:

It will take 10.63 years.

Step-by-step explanation:

Giving the following information:

Present value (PV)= $4,000

Future Value (FV)= $10,000

Interest rate (i)= 9% annual compounded

<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)  

n= number of years

n= ln(10,000 / 4,000) / ln(1.09)

n= 10.63

It will take 10.63 years.

5 0
3 years ago
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