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3 years ago

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)

Mathematics

1 answer:

katrin2010 [14]3 years ago

8 0

Answer: $324.00

Step-by-step explanation:

Convert 8% to decimals. You can do this by dividing by 100

$\frac{8}{100}=0.08$

Calculate 8% of 300 (0.08*300) and add 300 (+300)

$0.08(300)+300\\24+300\\324$

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3 years ago

Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?

Mariulka [41]

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

8 0

3 years ago

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i

swat32

Apply the Pythagoras Theorem

${c }^{2} = {a}^{2} + {b}^{2}$
${9 }^{2} = {7}^{2} + {b}^{2}$
$81 = 49+ {b}^{2}$
$81 - 49 = {b}^{2}$
$32= {b}^{2}$
Take square root of both sides

$b = \sqrt{32}$
$b = 4 \sqrt{2}$

5 0

4 years ago

Read 2 more answers

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)​

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)