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finlep [7]
3 years ago
10

Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales t

ax rate was 5%. Did Bruce have enough money to buy the game? Explain.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .

<u>Step-by-step explanation:</u>

Here we have , Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales tax rate was 5%.  We need to find Did Bruce have enough money to buy the game .Let's find out:

We have , Bruce saved $ 35.00 to buy a new video game . The game's original price was $ 42.00 , but it was on sale for 30% off. i.e.

Price = Original price - \frac{Original-price(30)}{100}

⇒ 42-\frac{42(30)}{100}

⇒ 42-\frac{1260}{100}

⇒ 42-12.6

⇒ 29.4

Now,  The sales tax rate was 5%. So , total amount to be paid is :

⇒ 29.4 + \frac{29.4(5)}{100}

⇒ 29.40 +1.47

⇒ 30.87

Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .

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Answer:

The solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

-7r-4\ge \:4r+2

Add 4 to both sides

-7r-4+4\ge \:4r+2+4

Simplify

-7r\ge \:4r+6

Subtract 4r from both sides

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Simplify

-11r\ge \:6

Multiply both sides by -1 (reverses the inequality)

\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)

Simplify

11r\le \:-6

Divide both sides by 11

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Simplify

r\le \:-\frac{6}{11}

Therefore, the solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

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3 years ago
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Find the expected value of the winnings
blondinia [14]
<h3>Answer:  4</h3>

============================================================

Explanation:

Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.

Example: for the first entry of this row, have 2*0.45 = 0.9

Once that third row is filled out, you add up everything in that row. That will lead to the expected value.

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