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Q:

If you deposit $4000 into an account paying 6% annual interest compounded quarterly, how much money will be in the account after 5 years ?

A) 3387.42 B) 4387.42
C) 5387.42 D) 6387.42
 
Answer & Explanation Answer: C) 5387.42

Explanation:

The mathematical formula for calculating compound interest depends on several factors. These factors include the amount of money deposited called the principal, the annual interest rate (in decimal form), the number of times the money is compounded per year, and the number of years the money is left in the bank.

 FV=p1+rnnt

 

FV = Future value of the Deposit

 

p = Principal or Amount of Money deposited

 

r = Annual Interest Rate (in decimal form )

 

n = No of times compounded per year

 

t = time in years

FV=40001+0.0644(5)= 5387.42

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Filed Under: Compound Interest
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Q:

Jason decides to borrow money for a holiday. If a personal loan is taken over 4 years with equal quarterly repayments at 12% p.a. flat rate (simple interest), calculate the effective rate of interest.

A) 22,588 B) 32.588
C) 42.588 D) 43.588
 
Answer & Explanation Answer: A) 22,588

Explanation:

Flat rate = 12%
n = 4 × 4
= 16

Effective rate =2n/(n+1) × flat rate

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Filed Under: Simple Interest
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Q:

If there is a total of 104 weekly instalments and a third deposit, find: the total cost of the computer

A) 3932.55 B) 4932
C) 5932 D) 6932
 
Answer & Explanation Answer: A) 3932.55

Explanation:

Total cost = deposit + loan + interest
= 1231.67 + 2463.33 + 237.55
= $3932.55

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Filed Under: Simple Interest
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Q:

Car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a.   What is the total cost of the car?

A) 30.240 B) 31.240
C) 33.240 D) 32,240
 
Answer & Explanation Answer: D) 32,240

Explanation:

Total cost = deposit + instalment amount × number of instalments

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Filed Under: Simple Interest
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Q:

A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a.  What is the monthly instalment?

A) $503 B) $504
C) $505 D) %506
 
Answer & Explanation Answer: B) $504

Explanation:

Cash price = $21 000

Deposit = 10% × $21 000 = $2100 

Loan amount = $21000 − $2100 = $18900

I=p x r x t/100 

I=11340

Total amount = 18900 + 11340 = $30240

Regular payment = total amount /number of payments

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Filed Under: Simple Interest
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Q:

A sapphire ring with a marked price of $1800 is offered to the purchaser on the following terms: $200 deposit and the balance to be paid over 24 equal monthly instalments with interest charged at 11.5% p.a. flat rate. Find the monthly repayments

A) $53 B) $42
C) $62 D) $82
 
Answer & Explanation Answer: D) $82

Explanation:

Total repayment amount = $1600 + $368
= $1968
= $82

regular payment= total amount/number of repayments

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Filed Under: Simple Interest
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Q:

At the beginning of March, Ryan had $621 in his savings bank account. On 10 March he deposited $60. If the bank pays 8% p.a. interest paid monthly and calculated on the minimum monthly balance, calculate the interest Ryan earns in March.

A) 2.14 B) 3.14
C) 5.14 D) 4.14
 
Answer & Explanation Answer: D) 4.14

Explanation:

I = (P x T x R) /100

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Filed Under: Simple Interest
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Q:

An investment bond is offered to the public at 9% p.a. Louise buys a bond worth $2000 that will mature in 2 years. How much in total will Louise receive at the end of the 2 years?

A) 3360 B) 2360
C) 4360 D) 5360
 
Answer & Explanation Answer: B) 2360

Explanation:

I = (P x r x t)/100

I = $360

A = P+I

A = 2360

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Filed Under: Simple Interest
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