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djyliett [7]
3 years ago
9

Which equation represents the line 3x - 2y = -8 in slope-intercept form?

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

The slope -intercept form of the equation is;

y = \frac{3}{2}  x  +   4

Step-by-step explanation:

The slope-intercept form of an equation is;

y = mx + c

where m is the slope and c represent the intercept

To represent the equation given; 3x - 2y = -8 in its slope intercept form, we will follow the steps below:

3x - 2y = -8

subtract 3x from both-side of the equation

3x - 3x -2y  = -3x - 8

-2y = -3x -8

Divide throught the equation by -2

-2y/-2 =-3x/-2  -8/-2

y = \frac{3}{2}  x  +   4

The slope -intercept form of the equation is;

y = \frac{3}{2}  x  +   4

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7 0
3 years ago
If $450 is invested at 6% compounded A (annually), B (quarterly), C (monthly), what is the amount after 7 years? How much intere
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Step-by-step explanation:

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The general formula for all of these is the same:

A(t)=P(1+\frac{r}{n})^{nt}

where A(t) is the amount after the compounding, P is the initial investment, n is the number of compoundings per year, r is the interest rate in decimal form, and t is time in years.  

Then after we find the amount after the compounding, we will subtract the initial amount from that, because the amount at the end of the compounding is greater than the initial amount.  It's greater because it represents the initial amount PLUS the interest earned.  The difference between the initial amount and the amount at the end is the interest earned.

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A(t) = ?

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n = 1

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t = 7

A(t)=450(1+\frac{.06}{1})^{(1)(7)}

Simplifying gives us

A(t)=450(1.06)^7

Raise 1.06 to the 7th power and then multiply in the 450 to get that

A(t) = 676.63 and

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For B:

A(t) = ?

P = 450

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r = .06

t = 7

A(t)=450(1+\frac{.06}{4})^{(4)(7)}

Simplifying inside the parenthesis and multiplying the exponents together gives us

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A(t) = ?

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n = 12 (there are 12 months in a year)

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A(t)=450(1+\frac{.06}{12})^{(12)(7)}

Simplifying the parenthesis and the exponents:

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Adding inside the parenthesis and raising to the 84th power and multiplying in 450 gives you that

A(t) = 684.17

I = 684.17 - 450

I = 234.17

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