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v1 Financial Maths, STD2 F1 2013 HSC 13 MC

Jared borrowed $9 000. He repaid the loan in full at the end of three years with a lump sum of $10 350.

What annual simple interest rate was he charged?

  1. 6%
  2. 5.25%
  3. 5%
  4. 4.5%
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`C`

Show Worked Solution

`text(Total interest paid) = 10\ 350-9000 = $1350`

`I` `=Prn`
`1350` `=9000 xx r xx 3`
`r` `=1350/(27\ 000)`
  `=5 text(%)`

 
`=> C`

Filed Under: Simple Interest and S/L Depreciation (Std 2-X) Tagged With: Band 4, num-title-ct-corea, num-title-qs-hsc, smc-1124-10-Simple Interest, smc-4332-20-Find interest rate, smc-808-10-Simple Interest

Simple Interest, SMB-022

The transaction details for a savings account for the month of August 2014 are shown in the table below.

The table is incomplete.
  

 

Simple interest is calculated and paid monthly on the minimum balance for that month.

Calculate the annual simple interest rate paid on this account, correct to two decimal places.   (4 marks)

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`text{3.75%}`

Show Worked Solution

`text(Minimum balance for month) = $4870.50`

`text{Interest paid}\ = 5885.72-5870.50= $15.22`

`I` `=Prn`
`15.22` `= 4870.50 xx r xx 1/12`
`:. r`  `=(15.22 xx 12)/4870.50`
  `= 0.03749…`
  `= 3.75text{%   (2 d.p.)}`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate, smc-4332-40-Bank statement

Simple Interest, SMB-016

Kate and Amberley are Swifties and want to travel to Melbourne to go to a Tay-Tay concert.

It will cost them a total of $13 000 for tickets, accommodation and transport.

They currently have $12 500 and can invest this amount for 9 months.

What is the minimum simple interest rate, correct to 1 decimal place, at which they can invest their money to reach their goal of $13 000?   (3 marks)

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`5.4\text{%}`

Show Worked Solution

`n = \frac {9}{12} = 0.75`

`text{Interest required to reach goal} =13\ 000-12\ 500=$500`

`I` `=Prn`
`500` `=12\ 500 xx r xx 0.75`
`r` `=500/9375`
  `=0.05333…`
  `=5.333…\text{%}`

 
`:.\ text{Minimum interest rate = 5.4%}`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Simple Interest, SMB-015

Carissa borrowed $4000 to buy new surfboards.

She did not make any monthly repayments and repaid the loan in full 2 years later with a lump sum of $4400.

Determine the annual simple interest rate that Carissa was charged.   (2 marks)

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`5.0\text{%}`

Show Worked Solution

`text(Total interest paid)=4400-4000=$400`

`I` `=Prn`
`400` `=4000 xx r xx 2`
`r` `=400/8000`
  `=0.05`
  `=5.0\text{%}`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Simple Interest, SMB-014

Steffi borrowed $8600 to buy a new car.

She did not make any monthly repayments but instead repaid the loan in full 2 years later with a lump sum of $10 062.

Determine the annual simple interest rate that Steffi was charged.   (2 marks)

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`8.50\text{%}`

Show Worked Solution

`text(Total interest paid)=10\ 062-8600=$1462`

`I` `=Prn`
`1462` `=8600 xx r xx 2`
`r` `=1462/(17\ 200)`
  `=0.0850`
  `=8.50\text{%}`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Simple Interest, SMB-009 MC

Albert borrowed $2000 off his brother Sid so he could attend the rugby league Magic Round in Brisbane.

He did not make any monthly repayments but instead repaid the loan in full 12 months later with a lump sum of $2350.

What was the annual simple interest rate Sid charged Albert?

  1. 3.5%
  2. 17.5%
  3. 23.5%
  4. 35.0%
Show Answers Only

`B`

Show Worked Solution

`text(Total interest paid)=2350-2000=$350`

`I` `=Prn`
`350` `=2000 xx r xx 1`
`r` `=350/2000`
  `=0.1750`
  `=17.50\text{%}`

 
`=> B`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Simple Interest, SMB-008

Sandy borrowed $7 000 for an overseas trip.

She did not make any monthly repayments but instead repaid the loan in full at the end of three years with a lump sum of $8800.

Calculate the annual simple interest rate was she charged?   (2 marks)

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`8.57\text{%}`

Show Worked Solution

`text(Total interest paid)=8800-7000=$1800`

`I` `=Prn`
`1800` `=7000 xx r xx 3`
`r` `=1800/(21\ 000)`
  `=0.08571…`
  `=8.57\text{%}`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Financial Maths, SMB-011

George makes a single deposit of $9000 into an account that pays simple interest.

After 4 years, George's account has a balance of $10 350.

What simple interest rate did George receive on his investment?   (2 marks)

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`3.75text(%)`

Show Worked Solution
`text(Interest earned)` `= 10\ 350-9000`
  `= $1350`

 

`text(Using)\ \ I = Prn,`

`1350` `= 9000 xx r xx 4`
`:. r` `= 1350/(4 xx 9000)`
  `= 0.0375`
  `= 3.75text(%)`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Financial Maths, SMB-008

Dante deposits $5000 into a savings account which earns simple interest.

No deposits or withdrawals are made from this account.

After 4 years, Dante notices there is $5600 in the account.

What is the annual rate of interest for the account?   (2 marks)

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`3text(%)`

Show Worked Solution
`text(Interest per year)` `= (5600-5000)÷4`
  `= 600 ÷ 4`
  `= $150`

 

`:.\ text{Interest rate (p.a.)}` `= 150/5000 xx 100`
  `= 3 text(%)`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Financial Maths, SMB-007

Mr. Soros put $500 into a simple interest account for a year.

He did not take any money out or add any money to the account.

At the end of the year he had $530 in the account.

What was the annual percentage interest rate?   (2 marks)

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`text(6%)`

Show Worked Solution
`text(Interest earned)` `= 530-500`
  `= $30`

 

`:.\ text{Interest rate (annual)}`

`= 30/500`

`= 0.06`

`= 6text(%)`

Filed Under: Simple Interest Tagged With: num-title-ct-corea, smc-4332-20-Find interest rate

Financial Maths, STD2 F1 2013 HSC 13 MC

Polly borrowed $11 000.  She repaid the loan in full at the end of two years with a lump sum of  $12 000.

What annual simple interest rate was she charged?

  1. 4.17%
  2. 4.55%
  3. 8.33%
  4. 9.09%
Show Answers Only

`B`

Show Worked Solution

`text(Total interest paid)=12\ 000-11\ 000=$1000`

`I` `=Prn`
`1000` `=11\ 000 xx r xx2`
`r` `=1000/(22\ 000)`
  `=4.55 text(%)`

 
`=>\ B`

Filed Under: FM4 - Credit and Borrowing, Simple Interest, Simple Interest and S/L Depreciation (Std 1), Simple Interest and S/L Depreciation (Std 2) Tagged With: Band 4, num-title-ct-corea, num-title-qs-hsc, smc-1124-10-Simple Interest, smc-4332-20-Find interest rate, smc-808-10-Simple Interest

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