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4vir4ik [10]
3 years ago
15

If an item is discounted 25%, the sale price is what percent of the original price? (Hint what percent are you paying?)

Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

75%

Step-by-step explanation:

Percent means out of 100

so 100-25= 75

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from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second
anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

d=-16t^2 +vt+h

we  know that

When the arrow reach the water the value of d is equal to zero

we have

v=90\ ft/sec

h=486\ ft

d=0\ ft

substitute the values and solve for t

0=-16t^2 +(90)t+486

-16t^2+90t+486=0

Multiply by -1 both sides

16t^2-90t-486=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

a=16\\b=-90\\c=-486

substitute in the formula

t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}

t=\frac{90(+/-)\sqrt{39,204}}{32}

t=\frac{90(+/-)198}{32}

t_1=\frac{90(+)198}{32}=9\ sec

t_2=\frac{90(-)198}{32}=-3.375\ sec

the solution is t=9 sec

see the attached figure to better understand the problem

4 0
3 years ago
An amusement park charges a $15 entrance free plus $3.25 for each ride. Part A: Write an equation that represents the situation.
IceJOKER [234]

Answer:

Look below

Step-by-step explanation:

Part A: Equation would be in the y=mx+b format. m, or the slope, would be the cost that varies depending on the number of things that happen so m=3.25. b would be the fix cost so it is 15 so the equation ends up being y=$3.25x + $15.

Part B: Initial value is 15 since it is the fix cost, and 3.25 is the rate of change since it added as the number of rides increase.

Part 3: To solve this you substitute 7 into x so y=$3.25(7) + $15 = $37.75

I hope this explains it well.

7 0
3 years ago
Use the original price and the markup to find the retail price. Original price: $64; Markup: 20%
Leni [432]

Answer:

$76.80

Step-by-step explanation:

When a product has a certain markup, you need to multiply the markup by the price of the product, and then add that to the original price of the product. 20%=0.2, and 0.2*64=12.8. Adding this to the original price, you get 64+12.8=$76.80. Hope this helps!

8 0
3 years ago
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Which is the best strategy to solve this problem?
FinnZ [79.3K]
Strategy A, drawing a diagram is the best strategy to solve this problem
8 0
3 years ago
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Dave bought 8 more Xbox games than Kevin Dave bought 12 games. how many games did Kevin buy​
Nadusha1986 [10]

Answer: 12 -8 = 4

Step-by-step explanation:

5 0
3 years ago
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