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Olin [163]
3 years ago
13

A Playstation 5 gaming console is initially priced at $500 and the prices rises such that the new price is $550. What is the per

cent increase of the Playstation 5? Show all work, write answer using proper units.
Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

10%

Step-by-step explanation:

Percentage increases is given by the formula:

percentage \: increases =  \frac{increases}{original \: value}

Increases = $550 - $500 = $50

Original Value: $500

substitute the values into the formula

percentage \: increases =  \frac{50}{500}  \times 100

= 10%

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Solve |y + 2| > 6 im so confused
Talja [164]

Answer:

Below

Step-by-step explanation:

● |y+2| > 6

● y+2 > 6 or y+2 < -6

Add -2 in both sides in the two inequality.

● y+2-2 > 6-2 or y+2-2 < -6-2

● y > 4 or y< -8

3 0
4 years ago
What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.
almond37 [142]

ANSWER


-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1


Multiply through by LCM of 15


(15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)





-10(2x-\frac{1}{2})\le 3x-15



Expand brackets to obtain,



-20x+5\le 3x-15



Group like terms



15+5\le 20x+3x




20\le 23x


\frac{20}{23}\le x




x\ge \frac{20}{23}


In interval form it is written as


[\frac{20}{23}, \infty)







8 0
3 years ago
It's been estimated that if you consume an extra 3,500 calories, you will gain 1 pound of fat. one can of soda contains 40 grams
timama [110]
We know that
1 can of soda---------------> <span>40 grams of sugar
if 1 gram sugar------------------------------------>has 4 calories
40 grams (1 can of soda)-----------------------> X
X=40*4=160 calories
then 
1 can of soda--------------> has 160 calories
</span><span>six-pack of soda every day--------------> 6*160=960 calories every day

in one year------------> 960*365=350400 calories in one year

if 3500 calories----------------> </span><span>1 pound of fat
</span>350400 calories----------------X
X=350400/3500=100.11 pound
In one year she or he will gains 100.11 pound of fat

the answer is 100.11 pound
8 0
3 years ago
Verifying Properties of logarithms In Exercise,use a graphing utility to verify that the functions are equivalent for x &gt; 0.
Ede4ka [16]

Answer:

Applying Quotient and power rule. Graphically, for x>0 both curves coincide.

Step-by-step explanation:

1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:

lnx=log_{e}x\\\\f(x) = ln({\frac{x^{2}}{4}})\Rightarrow f(x)=ln{x^2}-ln4\Rightarrow f(x)=2lnx-ln4\\g(x) = 2 ln x - ln 4

2) Check the graph below to see this equivalence. to see x>0 they  both coincide.

7 0
3 years ago
The area of a rectangle with a perimeter of 500 cm is modeled by the function A = 250l − l^2 where l is the length of the rectan
Olin [163]
The perimeter is 500 cm, meaning the width + width + length + length is 500 cm in this rectangle.

clearly, since their sum is 500 total, the length of any of the sides cannot be larger than 500, it has to be less to allow room for the other 3 sides.  L < 500.

and the length cannot be 0 either, because if it's, then there's no rectangle :). L > 0

L < 500   and L > 0                0 < L < 500.
8 0
4 years ago
Read 2 more answers
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