Recursion and Finance up to deprecetion (up to 3I)

Recursion and Finance up to deprecetion (up to 3I)

11th Grade

8 Qs

quiz-placeholder

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Recursion and Finance up to deprecetion (up to 3I)

Recursion and Finance up to deprecetion (up to 3I)

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Lucy Neil

Used 1+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Consider the recurrence relation below.

A0 = 2, An + 1 = 3 An + 1

The first four terms of this recurrence relation are

0,2,7,22 ....

1,2,7,22 ...

2,5,16, 49 ...

2,7,18,54 ...

2,7,22,67 ...

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A printer was purchased for $680.

After four years the printer has a value of $125.

On average, 1920 pages were printed every year during those four years.

The value of the printer was depreciated using a unit cost method of depreciation.

The depreciation in the value of the printer, per page printed, is closest to

3 cents

4 cents

5 cents

6 cents

7 cents

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The purchase price of a car was $26 000.

Using the reducing balance method, the value of the car is depreciated by 8% each year.

A recurrence relation that can be used to determine the value of the car after n years, Cn , is

C0 = 26 000,

Cn + 1 = 0.92 Cn

C0 = 26 000,

Cn + 1 = 1.08 Cn

C0 = 26 000,

Cn + 1 = Cn + 8

C0 = 26 000,

Cn + 1 = Cn - 8

C0 = 26 000,

Cn + 1 = 0.92 Cn - 8

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

a piano depreciating at a flat rate of 6% per annum.

a car depreciating with a reducing balance rate of 6% per annum.

a compound interest investment earning interest at the rate of 6% per annum.

a simpleinterest investment earning interest at the rate of 6% per annum.

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The value of a compound interest investment, in dollars, after n years, Vn , can be modelled by the recurrence

relation shown below.

V0 = 100 000, Vn + 1 = 1.01 Vn

The interest rate, per annum, for this investment is

0.01%

0.101%

1%

1.01%

101%

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Geoff purchased a computer for $4500. He will depreciate the value of his computer by a flat rate of 10% of

the purchase price per annum.

A recurrence relation that Geoff can use to determine the value of the computer after n years, Vn , is

V0 = 4500,

Vn + 1 = Vn – 450

V0 = 4500,

Vn + 1 = Vn + 450

V0 = 4500,

Vn + 1 = 0.9 Vn

V0 = 4500,

Vn + 1 = 1.1 Vn

V0 = 4500,

Vn + 1 = 0.1 (Vn -450)

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

660.00

670.00

672.80

678.40

685.60

8.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A machine is purchased for $30 000.

It produces 24 000 items each year.

The value of the machine is depreciated using a unit cost method of depreciation.

After three years, the value of the machine is $18 480.

A rule for the value of the machine after n units are produced, Vn , is

Vn = 0.872 n

Vn = 24 000 n – 3840

Vn = 30 000 – 24 000 n

Vn = 30 000 – 0.872 n

Vn = 30 000 – 0.16 n