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balu736 [363]
3 years ago
9

Find an equation for the parabola that satisfies the given conditions. (a) vertex (0, 0); focus (8, 0).

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0
The general form for this type of parabola is y^2 = 4px  where  p is the distance of the focus from the vertex.

Here p = 8 so the equation is y^2 = 4(8)x or  y^2 = 32x
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7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective
Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

E_{IR} = \frac{E}{P}.

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}.

So

E = 6200*0.0884*\frac{1}{9} = 60.9

The effective interest rate is

E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0
3 years ago
800 is 100 times as much as
Slav-nsk [51]
800/100 = 8
800 is 100 times as much as 8
8 0
3 years ago
Lura’s chocolate bar is 71% cacoa. If the weight of the chocolate bar is 58 grams, how many grams of cocoa does it contain? Roun
gtnhenbr [62]
58*0.71= around 41.2 grams of coco. This is because we can multiply to get this.

Please like and brainiest if correct!
4 0
2 years ago
(x^2+x-17)/(x-4) solve this
sergij07 [2.7K]

Answer:

\displaystyle x + 5 + \frac{3}{x - 4}

Step-by-step explanation:

Since the divisor of \displaystyle x - 4is in the form of \displaystyle x - c,we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 1 −17

↓ 4 20

_________

1 5 3 → \displaystyle x + 5 + \frac{3}{x - 4}

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, \displaystyle \frac{3}{x - 4},giving you the quotient of \displaystyle x + 5 + \frac{3}{x - 4}. However, in this case, since you have a remainder of 3, this gets set over the divisor.

I am joyous to assist you anytime.

8 0
3 years ago
Work out the estimate of books brought. On the y axis it is number of students. ​
Solnce55 [7]

Answer:

8 books

Step-by-step explanation:

  • The answer is 8 because you add up all of the bars which get you to 40
  • Finally you divide 40 by the number of bars which gets you 5. 40/5=8
  • Hope this helped :)
8 0
4 years ago
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