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Arte-miy333 [17]
4 years ago
13

A line's y-intercept is 0, and its slope is 6/5. what is its equation in slope-intercept form?

Mathematics
2 answers:
Butoxors [25]4 years ago
5 0
Answer:
y = \frac{6}{5} x

Explanation:
The equation of the line has a general formula:
y = mx + c
where:
m is the slope = 6/5
c is the y-intercept = 0

Substitute with the givens in the above formula to get the equation of the line as follows:
y = \frac{6}{5} x + 0
y = \frac{6}{5} x

Hope this helps :)
seraphim [82]4 years ago
3 0
 the equation will be y = 6/5 x + 0. But you can remove the 0 because its not necessary. 
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Answer:

Therefore the value of bond will triple after 17.72 years.

Step-by-step explanation:

The formula of Compounded continuously

A=Pe^{rt}

A= Amount after t year

P= initial amount

r = rate of interest

t= time in year.

Given that,

Jacobs college saving are invested in bond that pay 6.2% compounded continuously.

Let after t years the initial amount P will be triple i.e 3P.

Here P=P, A=3P, r= 6.2%=0.062

\therefore 3P=Pe^{0.062t}

\Rightarrow 3=e^{0.062t}   [ Multiply \frac 1P both sides]

Taking ln both sides

\Rightarrow ln3=ln(e^{0.062t})

\Rightarrow ln3={0.062t}        [ since ln(e^a)=a ]

\Rightarrow t=\frac{ln3}{0.062}

\Rightarrow t\approx 17.72 years

Therefore the value of bond will triple after 17.72 years.

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Find the missing factor.<br> 7s^2 + + 13s + 6 = (7s + 6)<br> )
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Answer:

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Step-by-step explanation:

The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.

Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,

(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² =  7s² + 84s + 6²

84s - 13s = 71s, which fills in the blank provided.

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