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3 years ago

The formula for the cost of buying a car is:

Mathematics

1 answer:

Mice21 [21]3 years ago

7 0

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

cost = 12*350 + 2000 = 4200 + 2000 = 6200

The cost of buying this car is of £6200.

b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.

Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

x = 450

The monthly payment is of £450.

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On Megan’s road map, 1 inch represents 10 miles. How many miles would 4 inches represent and how do you know? (explain your thin

timurjin [86]

Answer:

The answer is 40 miles!

Step-by-step explanation:

1 inch= 10 miles

2 inches= 20 miles

3 inches= 30 miles

4 inches= 40 miles

Just count by tens

3 0

3 years ago

A football field measures 120 yards long and 54 yards wide. We know that the team can fit 26 players in 5 yards by 8 yards box.

wariber [46]

Answer:

4,212 people

Step-by-step explanation:

We are given;

Dimensions of the football field are 120 yards by 54 yards
26 players can fit in a box measuring 5 yards by 8 yards

We are required to determine the number of people that can fit in the football field.

We are going to get the area of the field first;

Area = length × Width

Area of the field = 120 yards × 54 yards

= 6480 square yards

Then we get the area of the box

Area of the box = 5 yards × 8 yards

= 40 square yards

We then determine the number of boxes that can fit in the football field

Number of boxes = Area of the foot ball field ÷ Area of one box

= 6480 sq yards ÷ 40 sq yards

= 162 boxes

But, 26 people can fit in one box

Therefore,

Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box

That is, Number of people = 26 players × 162 boxes

= 4,212 people

Therefore, the number of people that can fit in the football field is 4,212 people.

6 0

3 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.