1-Josh deposits $3,000 into an account paying 4% interest compounded monthly. Wh
ID: 2713327 • Letter: 1
Question
1-Josh deposits $3,000 into an account paying 4% interest compounded monthly. What will the account be worth at the end of 23 years?
2-Jamie won $750 in a raffle at school. After donating $50 to charity, he deposited the remaining amount into an account paying 5% interest compounded quarterly. How much will the account be worth at the end of 15 years?
7-Mark deposited $5000 into an account paying 9% interest compounded monthly. How much money will he have at the end of 20 years?
8-Gary received a bonus of $8,000. He gave his son $720 and invested the remaining amount into a savings account earning 3% interest compounded quarterly. If he leaves the money in the account for 5 years, how much money will be in the account?
9-Curtis is 19 and wants to start saving money for retirement. He deposited $8,000 in an account earning 6% interest compounded semiannually. At the end of 50 years, how much will he have in the account for his retirement?
10-Franella wants to buy her dream car when she retires in 14 years. She deposits $20,000 in an account paying 8.4% interest compounded monthly. How much will she have to put towards her dream car at the end of 14 years?
Explanation / Answer
FV = PV(1+r)n
1. Interest per month = 4/12 = 0.33333%, period I.e. n = 23 years *12 = 276 months
= 3000(1+0.00333333)276
= 3000(1.00333333)276
=3000*2.5054519781
= $7516.3559343
2. AMount deposited = $750-$50 = $700
Interest per quarter = 5/4 = 1.25%
No of period n = 15*4 = 60 quarters
= 700(1+0.0125)60
= 700(1.0125)60
= 700* 2.107181347
= $1475.0269429
7. Interest per month = 9/12 = 0.75%, no of periods n = 20 yes* 12 = 240 months
= 5000(1+0.0075)240
= 5000*6.0091515
= $30045.7576
8.Amount invested= $8000-$720 = $7280
Interest per quarter = 3/4 = 0.75%, no of period n = 5 years * 4 = 20 quarters
= 7280(1+0.0075)20
= 7280 * 1.16118414
= $8453.4205559
9. Interest per half year = 6/2 = 3%, no of period n = 50 years * 2 = 100 half years
= 8000(1+0.03)100
= 8000* 19.218631981
= $153749.05585
10. Interest per month = 8.4/12 = 0.7%, no of period n = 14 years *12 = 168 months
= 20000(1+0.007)168
= 20000 * 3.228130276
= $64562.60552
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