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3 years ago

an aquarium is on sale for $59.50 if this price represents a 15% discount from the oringanl price what is the origanl price

1 answer:

5 0

Question: An aquarium is on sale for $59.50. If this price represents a 15% discount from the original price, what is the original price?

First, you multiply the sale price and the 15% discount

$$59.50*.15 = [tex]$8.92$ [/tex] (To change the percent to a decimal, you take out the percentage sign and divide by 100)

Now add $59.50 to $8.92

$59.50+8.92=$68.43$

Answer:

$68.43 (when rounded to the nearest cent)
or
$68 (when rounded to the nearest dollar)
or
$70 (when rounded to the nearest ten dollar)

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0

4 years ago

Give at least four different symbols that have been used to represent specific statistical measures. Describe what measure each

natta225 [31]

Answer:

Variance 0²

standard deviation 0×

mean α

median x-bar

Step-by-step explanation:

these are the four different symbols that have been used to represent specific statistical measures like for example, mean which is used to calculate the average value of a sample or population. Variance is the what is expected from the squared standard deviation of a random variable from is average vale/ mean. Median is the value that lies in the middle in a random sample and lastly the standard deviation is the square root of the variance and it measures how the values of sample are spread or how far are they from the mean. these are also commonly use in excel a lot to calculate and evaluate data.

6 0

3 years ago

PLEASE HELP!! 40 PTS

sasho [114]

Answer:

y ≤ −2x + 3

y ≤ x + 3

Step-by-step explanation:

they both share the slope of 3.

line a has a slope of -2

line b has a slope of 1

the sign ≤ means that the inequalities have a solid line and there below the line.

please mark brainliest :)

4 0

3 years ago

Read 2 more answers

Expression with the same value

umka2103 [35]

No offense but the question dosen't make sense

3 0

4 years ago

The ratio of the Areas of the bases of these cones is 9 to 4.

Lapatulllka [165]

Answer:

Step-by-step explanation:

This is something you learn in Geometry. Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area. You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

$\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}$

The one-to-one is 3:2. To get to the volume now, cube those one-to-one values:

$\frac{3^3}{2^3}=\frac{27}{8}$

7 0

3 years ago