Find the area of the shaded region.

A car dealer recently had a promotion which they gave a 7% discount to the first 50 people through the door. if you are one of t

kiruha [24]

The discount amount would be $1470.00

the new cost of the car would be $19530.00

For given question,

A car dealer gave a 7% discount to the first 50 people through the door.

the car you are interested in cost $21,000.00

We need to find the discount amount and the new price of the car.

A car dealer gave a 7% discount.

this means, to find the discount amount, we need to find the 7 percent of $21,000.00

⇒ discount amount = 7 percent of $21,000.00

⇒ discount amount = (7 / 100) × 21,000.00

⇒ discount amount = $1470.00

So, the new price of the car would be,

the new price of the car = original price - discount amount

⇒ the new price of the car = $21,000.00 - $1470.00

⇒ the new price of the car = $19530.00

Therefore, the discount amount would be $1470.00

the new cost of the car would be $19530.00

Learn more about the percent here:

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5 0

2 years ago

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p

Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

$\mu = 61$

$\sigma = 3.5$

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{62-61}{3.5}$

$Z=0.285$

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

7 0

4 years ago

The diameter of a circle if five times the length of a recatngle. The length of a rectangle is three times the width of the rect

Leno4ka [110]

Answer:

706.5 ft²

Step-by-step explanation:

A. Width of the rectangle

The formula for the area of a rectangle is

A = lw

But, l = 3w, so,

A = (3w)w

= 3w² = 12

w² = 4 Divided each side by 3

w = 2 ft Took the square root of each side

B. Length of rectangle

l = 3w = 6 ft

C. Diameter of circle

d = 5l = 5 × 6 = 30 ft

D. Radius of circle

d = 2r

r = d/2 Divided each side by 2

r = 30/2 = 15 ft

E. Area of circle

A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²

The area of the circle is 706.5 ft².

8 0

4 years ago

James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 w

nlexa [21]

Answer:

<u>James sold 300 tickets for adults</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of tickets sold by James = 450

Cost of a child ticket = $ 2

Cost of an adult ticket =$ 5

Amount of money collected by James after selling the 450 tickets for the community play = $ 1,800

2. How many tickets for adults did James sell?

x = Number of adult tickets James sold

450 - x = Number of children tickets James sold

For solving for x, we write this equation:

5x + 2 * (450 - x) = 1,800

5x + 900 - 2x = 1,800

3x = 1,800 - 900

3x = 900

x = 900/3 = 300

450 - x = 450 - 300 = 150

<u>James sold 300 tickets for adults and 150 for children</u>

7 0

3 years ago

What type of system is the following set of equations?

iVinArrow [24]

$-3x+y=-2 \\
y-4=-6x \ \ \ |\times (-1) \\ \\
-3x+y=-2 \\
\underline{-y+4=6x} \\
-3x+y-y+4=6x-2 \\
-3x+4=6x-2 \\
-3x-6x=-2-4 \\
-9x=-6 \\
x=\frac{-6}{-9} \\
x=\frac{2}{3} \\ \\
y-4=-6 \times \frac{2}{3} \\
y-4=-4 \\
y=-4+4 \\
y=0 \\ \\
(x,y)=(\frac{2}{3},0)$

The system has one solution so it's A. consistent and independent.

7 0

3 years ago