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harkovskaia [24]

4 years ago

6

Baseball cap: $12, 48% markup (show work)

1 answer:

Svetlanka [38]4 years ago

7 0

Okay. The price is marked up, which is an increase. Add 1 to the percentage in decimal form. 48% is 0.48 in decimal form. 1 + 0.48 is 1.48. 12 * 1.48 is 17.76. There. The baseball cap costs $17.76.

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Solve for x and y 1/(x+yi) + 2/(x-yi) = 1+i

aliina [53]

Answer:

Step-by-step explanation:

x+i*y≠0 ==> x≠0 and y≠0

x-i*y≠0 ==> x≠0 and y≠0

We must exclude (0,0) as solution.

$\dfrac{1}{x+i*y} +\dfrac{2}{x-i*y} =1+i\\\\\dfrac{1*(x-i*y)}{(x+i*y)(x-i*y)} +\dfrac{2*(x+i*y)}{(x-i*y)(x+i*y)} =1+i\\\\\\\dfrac{x-i*y+2x+2i*y}{x^2+y^2} =1+i\\\\3x+i*y=(1+i)(x^2+y^2)\\\\3x+i*y=(x^2+y^2)+i(x^2+y^2+i*(x^2+y^2)\\\\\left\{\begin{array}{ccc}3x&=&x^2+y^2\\y&=&x^2+y^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\3x&=&x^2+9x^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\x(10x-3)&=&0\\\end {array}\right.\\\\$

$\left\{\begin{array}{ccc}x&=&0\\y&=&0\\\end {array}\right.\ (to\ exclude) \ or \ \left\{\begin{array}{ccc}x&=&\dfrac{3}{10}\\\\y&=&\dfrac{9}{10}\\\end {array}\right.\\\\Sol=\{(\dfrac{3}{10},\dfrac{9}{10})\}\\$

4 0

3 years ago

I wanna know how to solve this problem because I really forgot

Keith_Richards [23]

Answer:

(84-9)/5=15

Step-by-step explanation:

the two lines are parallel

which makes

84=(5x+9)

4 0

3 years ago

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In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free

cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = $5\times 7=35$

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = $10+9=19$

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ $\frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100$

⇒ $\frac{19}{35}\times 100$

⇒ 54.29% (Answer)

4 0

3 years ago

The gas in Dads car holds 12 gallons. Athe gas tank in Moms truck holds 50% more than that. How much gas does the truck's tank h

allochka39001 [22]

Answer:

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Step-by-step explanation:

Step one:

given data

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the gas tank in Moms truck holds 50% more than that in Dad's car

Hence 50% of 12 is

=50/100*12

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= 6 gallons

We are told that the gas tank in Moms truck holds 50% more than that in Dad's car

Therefore Mum's car will hold

=12+6

=18 gallons

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3 years ago

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Nataly [62]

5(3)(t+6)^2 = .5(5)(t)^2
<span>t=20.62 seconds </span>

<span>20.62 seconds</span>

6 0

3 years ago

Read 2 more answers