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2 years ago

Determine the promotional price of each item at each store

Mathematics

1 answer:

MAXImum [283]2 years ago

8 0

Answer:

Step-by-step explanation:

Original price of the music box = $80

Price after 20% discount = Original price - discount

= 80 - 20% of 80

= 80 - $(\frac{20}{100}\times 80)$

= 80 - 16

= $64

Price after 40% discount = 80 - 40% of $80

= 80 - 32

= $48

Original price of A faux Ming vase = $60

Price after 20% discount = Original price - discount

= 60 - 20% of $60

= 60 - 12

= $48

Price after 40% discount = Original price - discount

= 60 - 40% of 60

= 60 - 24

= $36

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What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?

Kryger [21]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

$\frac{\left(6x^4+15x^3+10x^2+10x+4\right)}{\left(3x^2+2\right)}$

Now, we will find the quotient by factoring the numerator:

$\mathrm{Use\:the\:rational\:root\:theorem}\\a_0=4,\:\quad a_n=6\\\\\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:4,\:\quad \\\mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2,\:3,\:6\\\\\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:4}{1,\:2,\:3,\:6}\\\\-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2\\\\=\left(x+2\right)\frac{6x^4+15x^3+10x^2+10x+4}{x+2}\\\\=\frac{6x^4+15x^3+10x^2+10x+4}{x+2}=6x^3+3x^2+4x+2\\\\$

Now, we will factor it again:

$=\left(6x^3+3x^2\right)+\left(4x+2\right)\\\\=2\left(2x+1\right)+3x^2\left(2x+1\right)\\\\=\left(2x+1\right)\left(3x^2+2\right)$

At last we get our factorised form :

$=\left(x+2\right)\left(2x+1\right)\left(3x^2+2\right)\\\\=\frac{\left(x+2\right)\left(2x+1\right)\left(3x^2+2\right)}{3x^2+2}\\\\=\left(x+2\right)\left(2x+1\right)\\\\=2x^2+5x+2$

Hence, Option 'C' is correct.

4 0

2 years ago

Read 2 more answers

The cost function for q units of a certain item is C(q)equals109 q plus 90. The revenue function for the same item is R(q)equa

Tcecarenko [31]

Answer:

a) $109

b) $P(q) = \frac{45q}{ln(q)} +90$

c) $$11.20$

Step-by-step explanation:

a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:

$C(q) = 109q+90\\C(q) = \$109$

b) Profit is given by Revenue minus Cost:

$P(q) = R(q) - C(q)\\P(q) = \frac{45q}{ln(q)} +90$

c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:

$M = P(9)-P(8)\\M= \frac{45*9}{ln(q)} +90 - (\frac{45*8}{ln(8)}+90 )\\M=\$11.20$

6 0

2 years ago

Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?

Leno4ka [110]

Answer:

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

3 0

1 year ago

Read 2 more answers

A scuba diver swimming at the Deppe shown, and then swim 0.5 feet toward the surface every three seconds. What is the location o

ivanzaharov [21]

For every 3 seconds, the scuba diver dives 0.5 feet
after 15 seconds = your answer

3 x 5 = 15
0.5 x 5 = your answer

your answer = 2.5

2.5 is your answer

hope this helps

7 0

2 years ago

A random survey of 60 students show that 36 students use calculators for computation. What is the probability That's student cho

Dima020 [189]

36/60, now reduce.
9/15, reduce more
3/5, so 3.5 of the students chosen at random used a calculator for computation.

3 0

3 years ago