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4 years ago

Find the x- and y- intercepts of the line with the equation 3x+4y=-12

1 answer:

8 0

3x + 4y = -12

X - Intercept: 3x + 4y = -12
      3x + 4(0) = -12
           3x + 0 = -12
   3x = -12
      3    3
   x = -4
   (x, y) = (-4, 0)

Y - Intercept:   3x + 4y = 12
   3(0) + 4y = 12
   0 + 4y = 12
   4y = 12
      4 4
   y = 3
   (x, y) = (0, 3)

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Write the numbers 3, 2, and 8 in an addition sentence. Show two more ways to find the sum.

Nata [24]

3+2+8
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4 years ago

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Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

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Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

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3 years ago

They knew that they could 3 miles in 20 minutes. how far can they ride in 45 minutes?

NemiM [27]

45 minutes and 20 minutes have to compared.
45/20= 2,25
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3 years ago

What is the y-intercept of the quadratic function f(x)=(x-8)(x+3)

Semmy [17]

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Substituting $x=0$ into $f(x) = (x-8)(x+3)$ we have:

$f(0) = (0-8)(0+3)$
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The y-intercept is -24

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4 years ago

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Evaluate the equation below

NeX [460]

Answer:

Step-by-step explanation:

3x3= 9x6= 54

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3 years ago

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