Please help no one answers my questions :'(

janine bought a portable CD player for $75. if the sales tax is 5%,what is the total cost of the CD player

Marina CMI [18]

Answer

78.75

Step-by-step explanation:

75.00 × 0.05

= 78.75

3 0

3 years ago

Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

Answer-

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

Solution-

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

2 years ago

3. An exclusive clothing boutique triples the price of the items it purchases

Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) If the cost price of clothing A = $10

then its retail price = $30

If the cost price of clothing B = $25

then its retail price = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now, boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value = 3 a

a) MARK UP Percentage = $(\frac{\textrm{SP - CP}}{CP}) \times 100$

$\implies \% = (\frac{3a-a}{a} ) \times 100 = 200 \%$

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

If the cost price of clothing A = $10

then its retail price = 200% of 10 + 10 = 20 + 10 = $30

If the cost price of clothing B = $25

then its retail price = 200% of 25 + 25 = 50 + 25 = $75

7 0

3 years ago

Jonathan is dowloading a movie on netflix the movie is approximately 720 MB if the movie takes 20 seconds to download what is th

olga_2 [115]

Answer:

r,myp5\6t[

Step-by-step explanation:

8 0

2 years ago

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

dedylja [7]

Answer:

$\huge\boxed{x = 6 , y = -2}$

Step-by-step explanation:

$\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)$

Taking equation (1)

$\sf \frac{1}{2} x -3 y=9$

Multiplying both sides by 2

$\sf x-6y = 18$

Adding 6y to both sides

$\sf x = 18+6y$

Putting this in (2)

5(18+6y) + y = 28

90 + 30y+y = 28

31y+90-28 = 0

31 y + 62 = 0

31y = -62

Dividing both sides by 31

y = -2

Now,

x = 18 + 6y

x = 18+6(-2)

x = 18-12

x = 6

7 0

2 years ago

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