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Q:

If you deposit $6500 into an account paying 8% annual interest compounded monthly, how
much money will be in the account after 7 years?

A) 11358.24	B) 12334
C) 15789	D) 12386

Answer & Explanation Answer: A) 11358.24

Explanation:

FV=P(1+r/n)^nt

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Filed Under: Compound Interest
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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.

$F V = p {(1 + \frac{r}{n})}^{n t}$

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

$F V = 4000 {[1 + \frac{0.06}{4}]}^{4 (5)}$ = 5387.42

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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:

If there is a total of 104 weekly instalments and a third deposit, find the interest rate

A) 2.82	B) 3.82
C) 4.82	D) 5.82

Answer & Explanation Answer: C) 4.82

Explanation:

R = (100 x I)/( P x T)

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Filed Under: Simple Interest
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Q:

If there is a total of 104 weekly instalments and a thirddeposit, find the interest charged

A) 237.55	B) 337
C) 443	D) 334

Answer & Explanation Answer: A) 237.55

Explanation:

Cash price = $3695

Deposit =1/3 of $3695 = $1231.67

Loan amount = $3695.00 − $1231.67 = $2463.33

Total cost of loan = $25.97 × 104= $2700.88

Interest charged = total amount − loan
I = A − P
= 2700.88 − 2463.33
= 237.55

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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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Q:

Jaclyn buys $50 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the total amount collected at the end of the term.

A) 8125	B) 9125
C) 7125	D) 6125

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