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3 years ago

150 increased by 170% is what

1 answer:

7 0

To find any percentage increase, you multiply the decimal version of that perfect by the amount you want to find the percentage of, and the ADD THAT to your original price

formula: original price + original price (decimal version of the the percent)

so let's do that!

original price = 150

that's pretty easy to see, but what about the decimal version of the percent? all you gotta do is more the decimal to the left two times.

170% = 1.70

soooo decimal version of percent = 1.7

let's fill this into the formula!

150 + 1.7 (150) = 405 <<there's you're answer. hope that helps!

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What is the value of n in the equation below a^n/a^3=a^9

goldfiish [28.3K]

One way in which you could do this problem quickly and accurately would be to mult. both sides by a^3, to elim. the fraction:

a^n = a^9 * a^3 = a^(9+3) = a^12. Thus, n = 12.

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3 years ago

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What is the standard form equation of an ellipse that has vertices (18,1) and (−10,1) and co-vertices (4,14) and (4,−12)?

viktelen [127]

Answer: $\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1$

Step-by-step explanation:

You first need to determine if the ellipse is horizontal or vertical, which can be found by the length of the major axis.

The vertices are at (18,1) and (-10,1). The distance is 28 units. (horiz)

The co-vertices are at (4,14) and (4,-12) The distance 26 units (vert)

The major axis is horizontal, so the standard form of the ellipse is

$\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1$ where (h,k) are the coordinates of the center.

To find the center, find the midpoint of the major axis $(\frac{x1+x2}{2} ,\frac{y1+y2}{2} )$

The center is at (4,1)

Since the major axis is 2a, a would be 28 divided by 2=14 squared : 196

The minor axis is 2b, so b would e 26/2=13 squared: 169

Inserting the center and a,b values into the standard form eq:

$\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1$

hope this helps.

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1 year ago

John caught 24 trout and bass while on a fishing trip. The average weight of a trout was 2.5 pounds, and the average weight of a

aleksklad [387]

Answer:

Step-by-step explanation:

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3 years ago

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

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4 years ago

Secants P N and L N intersect at point N outside of the circle. Secant P N intersects the circle at point Q and secant L N inter

JulijaS [17]

Answer:

A circle is shown. Secants P N and L N intersect at point N outside of the circle. Secant P N intersects the circle at point Q and secant L N intersects the circle at point M. The length of P N is 32, the length of Q N is x, the length of L M is 22, and the length of M N is 14.

In the diagram, the length of the external portion of the secant segment PN is X

The length of the entire secant segment LN is 36.

The value of x is 15.74

Step-by-step explanation:

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Jona_Fl16

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3 years ago

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