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simple and compund interest

## Transcript

a new car

1

Numericus wants to buy a new car. He is looking at a web site that values different types of cars.

If you have to choose one, which one will you buy and why?

Price

Range

Pollution

Gasoline

Diesel

Hybrid

Electric

23.500€

18.300€

31.550€

36.700€

1.199,93 km

1.300 km

50 km

300 km

24,1 g/km

26,9 g/km

44 g/km

0 g/km

Phrases

I would buy the gasoline/diesel/hybrid/electric car because ...

To begin

Reasons

It is cheaper
Pollutes less
The range is longer

2

Numericus decided to buy an electric car. Look at the valuations that the drivers had made of six different brands of cars concerning the driving. Indicate the intersection and union of the intervals.

Union:

Intersection:

Union: [-2,2)

Intersection: {0,5}

3

How much does the car cost?

1

2

3

4

The first payment is 5.386,22€

The bank offers 37 payments of 213€ at a simple interest of 7,5%.

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?

How much does the car cost?

1

2

5.386,22

9.338,99

19.424,04

3

4

The first payment is 5.386,22€

There are 37 payments of 213€. The bank offers a finance at a simple interest of 0,5% .

37 · 213 = 7881 money we must return

At the end we will pay:

Cf = 7881 · (1 + (0,5 · 37 : 100))

Cf = 7881 · (1 + 0,185)

Cf = 7881 · 1,185

Cf = 9.338,99€

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?

How much does the car cost? 34.149,25€

1

2

5.386,22

9.338,99

19.424,04

3

4

The first payment is 5.386,22€

There are 37 payments of 213€. The bank offers a finance at a simple interest of 0,5% .

37 · 213 = 7881 money we must return

At the end we will pay:

Cf = 7881 · (1 + (0,5 · 37 : 100))

Cf = 7881 · (1 + 0,185)

Cf = 7881 · 1,185

Cf = 9.338,99€

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?

Cf = 2500 · (1 + 1,7 : 100)³⁷ = 2500 · (1+0,017)³⁷ = 2500 · 1,017³⁷ = 2500 · 1,87 = 4675€

How much does the car cost? 34.149,25€

1

2

5.386,22

9.338,99

19.424,04

3

4

The first payment is 5.386,22€

There are 37 payments of 213€. The bank offers a finance at a simple interest of 0,5% .

37 · 213 = 7881 money we must return

At the end we will pay:

Cf = 7881 · (1 + (0,5 · 37 : 100))

Cf = 7881 · (1 + 0,185)

Cf = 7881 · 1,185

Cf = 9.338,99€

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?