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Yuki888 [10]
3 years ago
13

Which is an equation in point-slope form for the given point and slope? Point:(2,-6) Slope:-3/4

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0
The equation for point-slope form is 

y-y_{1}=m(x-x_{1})

m being the slope, y1 being the second point in the (2, -6) and the x1 being the first point in the (2, -6).

So the equation would look like this (for point-slope):

y-(-6)=- \frac{3}{4}(x-2) \\ or \\ y+6=-  \frac{3}{4}(x-2)

If you're looking for slope-intercept form you can simplify the equation:

y+6=- \frac{3}{4}(x-2) \\  \\ y+6=- \frac{3}{4}x+ \frac{6}{4} \\  \\ y+6-6=- \frac{3}{4}x+ \frac{6}{4}-6 \\  \\ y=- \frac{3}{4}x- \frac{18}{4}

If you're looking for the standard form of the equation, you can take the slope-intercept equation and turn it into standard form:

y=- \frac{3}{4}x- \frac{18}{4} \\ 4y=4(- \frac{3}{4}x- \frac{18}{4}) \\ 4y=-3x-18 \\ 4y+3x=-3x-18+3x \\ 4y+3x=-18 \\ 3x+4y=-18

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What is the product of 5.06 and 2.1
Oksana_A [137]

Answer:

10.626

Step-by-step explanation:

There's multiple ways to go about it. See how

5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =

= 10 + 0.12 + 0.5 + 0.006 = 10.626

Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.

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2 years ago
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Slav-nsk [51]
The pricing of the boxes seems to be consistently 2.40 per box. Ethan's cost is
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Ethan has bought 22 boxes for 52.80.
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3 years ago
Please help me with these. You'll be respected forever. I really need help with these.
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3 years ago
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Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals
LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

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102, 163, 185, 111, 215, 137, 158, 125, 195, 205
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