A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?

Use the relation 1 inch=2.54 cm to change 7 inches to cm

Thus, 7 inches is about 17.8 cm.

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.

The constant of proportionality is the distance traveled divided by gallons of gas consumed

Constant of proportionality = 386.4 miles/14 gallons = 27.6 miles per gallon.

To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.

Area of circle= πr2

Radius of circle, r=8cm/2=4cm

Then, area of the largest circle is:

Area of circle= π*4 cm *4 cm =16π cm2

Hire purchase cost=down payment + total monthly installment

Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170

Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months

The consumer will clear the balance in 12 months.

To solve this problem, we need to find the mean, mode, and median of the above data set.

From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.

The mean of data is the total divided by the number of elements

Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80

Number of elements=16

Mean=80/16=5

Median will fall in between the (N/2)th and (N/2+1)th position

(N/2)th =16/2 =8th position and (16/2+1)th =9th position

Since the data is arranged in ascending order as below

1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9

Element in 8th position = 3

Element in 9th position =7

So the median average of the two elements=(3+7)/2=5

Now the data could be presented as follows in the distribution curve

This is because the data set has two modes, meaning the data is bimodal.

We use the relation 1 kg=1000 g to convert 3.193 kg to g

Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, the average width of the doorway is about 1.0 m.

The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.

Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.

Now we know that

2x-2000=48000

Add 2000 to both sides of the equation

2x-2000+2000=48000+2000

2x+2000-2000=50000

2x=50000

Divide both sides by 2

X=25000

Thus, the friend pays $25,000 for their car.