Ask question

Ask question

All categories

2 years ago

10

The following list shows the items and prices for a restaurant order. Calculate the total amount if there is an 8% tax and the c

ustomer leaves a 20% gratuity. 1 appetizer: $8.59 2 entrees: $15.99 each 1 dessert: $4.69 2 drinks: $2.10 each a. $64.10 b. $63.31 c. $59.35 d. $40.15

2 answers:

Andreas93 [3]2 years ago

8 0

Answer:

Option B

The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.

Step-by-step explanation:

Given:

List of items Prices

1 Appetizer $8.59

2 Entrees $15.99 each

1 dessert $4.69

2 drinks $2.10 each

Total amount for the food order came to, $\left ( 1\times \$ 8.59 \right +2\times \$15.99+1\times \$4.69+2\times\$2.10)$ $=\left (\$ 8.59 \right + \$31.98+ \$4.69+\$4.20)$ =$49.46

Since the restaurant charges 8% as a tax on the total bill.

First, figure out the tax, 8% of $49.46 $=0.08\times $49.46$ =$3.9568

Now, figure out the Customer leaves a gratuity, 20% of $49.46 $=0.20\times \$49.46$ = $\$9.896$

The total amount( including 8% tax and 20% gratuity )=$49.46+$9.896+$3.9568=$63.3128 $\approx \$63.31$

ozzi2 years ago

4 0

The answer is B, $63.31.

You might be interested in

Lamaj is rides his bike over a piece of gum and continues riding his bike at a constant rate time = 1.25 seconds the game is at

Hitman42 [59]

Lamaj rides his bike over a piece of gum and continues riding his bike at a constant rate. At time = 1.25 seconds, the gum is at a maximum height above the ground and 1 second later the gum is on the ground again.

a. If the diameter of the wheel is 68 cm, write an equation that models the height of the gum in centimeters above the ground at any time, t, in seconds.

b. What is the height of the gum when Lamaj gets to the end of the block at t = 15.6 seconds?

c. When are the first and second times the gum reaches a height of 12 cm?

Answer:

Step-by-step explanation:

a)

We are being told that:

Lamaj rides his bike over a piece of gum and continues riding his bike at a constant rate. This keeps the wheel of his bike in Simple Harmonic Motion and the Trigonometric equation that models the height of the gum in centimeters above the ground at any time, t, in seconds. can be written as:

$\mathbf {y = 34cos (\pi (t-1.25))+34}$

where;

y = is the height of the gum at a given time (t) seconds

34 = amplitude of the motion

the amplitude of the motion was obtained by finding the middle between the highest and lowest point on the cosine graph.

$\mathbf{ \pi}$ = the period of the graph

1.25 = maximum vertical height stretched by 1.25 m to the horizontal

b) From the equation derived above;

if we replace t with 1.56 seconds ; we can determine the height of the gum when Lamaj gets to the end of the block .

So;

$\mathbf {y = 34cos (\pi (15.6-1.25))+34}$

$\mathbf {y = 34cos (\pi (14.35))+34}$

$\mathbf {y = 34cos (45.08)+34}$

$\mathbf{y = 58.01}$

Thus, the gum is at 58.01 cm from the ground at t = 15.6 seconds.

c)

When are the first and second times the gum reaches a height of 12 cm

This indicates the position of y; so y = 12 cm

From the same equation from (a); we have :

$\mathbf {y = 34 cos(\pi (t-1.25))+34}$

$\mathbf{12 = 34 cos ( \pi(t-1.25))+34}$

$\dfrac {12-34}{34} = cos (\pi(t-1.25))$

$\dfrac {-22}{34} = cos(\pi(t-1.25))$

$2.27 = (\pi (t-1.25)$

t = 2.72 seconds

Similarly, replacing cosine in the above equation with sine; we have:

$\mathbf {y = 34 sin (\pi (t-1.25))+34}$

$\mathbf{12 = 34 sin ( \pi(t-1.25))+34}$

$\dfrac {12-34}{34} = sin (\pi(t-1.25))$

$\dfrac {-22}{34} = sin (\pi(t-1.25))$

$-0.703 = (\pi(t-1.25))$

t = 2.527 seconds

Hence, the gum will reach 12 cm first at 2.527 sec and second time at 2.72 sec.

7 0

2 years ago

An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572"

7nadin3 [17]

Answer:

B: a = 1, b= 7, c = -2

Explanation:

$\sf Quadratic \ Equation : \dfrac{-b\pm \sqrt{b^2 - 4ac} }{2a}$

Knowing This:

<u>solve for b</u>

-b = -7

b = 7

<u>solve for a</u>:

2a = 2

a = 1

<u>solve c</u>:

b² - 4ac = 57

7² - 4(1)(c) = 57

-4c = 57 - 49

-4c = 8

c = 8/-4 = -2

4 0

1 year ago

Read 2 more answers

Which of the following is NOT true for a hypothesis test for correlation? Choose the correct answer below. A. If |r|less than

pantera1 [17]

Answer:

Answer explained

Step-by-step explanation:

From the information, the true statements for a hypothesis test for correlation is,

If the P-value is less than or equal to the significance level, we should reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation.

If |r| less than or equals critical value, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

If the P-value is greater than the significance level, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

<u>Explanation</u>

According to the decision rule of P-value approach, observe that if the P-value is less than or equal to the significance level, then there is evidence to reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation.

Similarly, if the P-value is greater than the significance level, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

According to the critical value approach, observe that if the test statistic value is greater than the critical value, then there is evidence to reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation.

- If |r| greater than critical value, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

<u>Explanation </u>

Based on the decision rules of the hypothesis test, the false statement about the test for a correlation is, if |r| less than or equals critical value, we should fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim of a linear correlation.

3 0

2 years ago

What is the absolute value of rational number 3.7? Thanks in advance :)

siniylev [52]

The absolute value of rational number 3.7 is 3.7

6 0

3 years ago

The expression below is scientific notation forwhat number? 4.29*10^-5

notsponge [240]

.00429
I believe this is right! Have a good day!

3 0

3 years ago