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Dmitry [639]
3 years ago
15

The Wright family recently went out to dinner. They ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.4

9 each. The sales tax is 7.675 %. Mr. Wright paid with a $50 bill. Mr. Wright always leaves a 15% tip on the total bill (excluding tax). How much more money will he need in order to leave a 15% tip?
A

$ 3.00

B

$ 4.23

C

$ 6.00

D

$ 7.20
Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer:

B

Step-by-step explanation:

First

Get totals for food items:

Pizza $14.95 ×2=$29.90

Salad=$4.35

Drinks $2.49 ×4=$9.76

Total Bill

$29.90

$ 4.35

<u>+</u><u>$</u><u> </u><u>9.76</u>

$44.21 Food Bill

Second Step

Find Tip Amount Before Tax

Total Bill $44.21 × .15=$6.63 Tip

Third Step

Find Tax on Total Food Bill

$44.21 × .07675=$3.39

Fourth Step

Find amount left from paying bill with tax.

Total Bill including tax:

$44.21 (bill) +$3.39 tax=$47.60

Cash $ 50.00

Total Bill - $<u>47.60</u>

$ 2.40 Change left over

Fifth Step

Find amount needed to give $6.63 tip from above.

We have $2.40 we need $6.63

Subtract $6.33 -$2.40=$4.23 more money needed for tip

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Answer:

\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }

Step-by-step explanation:

Hello,

I assume that we are working in \mathbb{C}, otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

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It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

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So

\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }

Now, we need to find the zeroes of the second factor, meaning finding x so that:

x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4}  \\ \\  x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\  x = 2+5i \ \text{ or } \ x = 2-5i

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Step-by-step explanation:

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