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in 2 years steve wants to buy a bicycle that 800.00. if he opens a savings account that earns 3 % interest compounded monthly how much will he have to despoit as principal to have enough money in 2 years to buy the bike

Sagot :

Answer

393.55

Explanation

The amount that results after an amount P is invested at compound interest at rate r% and time period t is given as

A = P (1 + r)ᵗ

For this question,

A = 800

r = 3% = 0.03

t = 2 (12) = 24 (Since the interest is compounded monthly, over 2 years)

P = ?

800 = P (1 + 0.03)²⁴

800 = P (1.03)²⁴

800 = P (2.0328)

2.0328P = 800

Divide both sides by 2.0328

(2.0328P/2.0328) = (800/2.0328)

P = 393.55

Hope this Helps!!!

Luke opened a savings account 3 years ago. the account earns 6%interest compounded quarterly if the current balance is 300.00 how much did he deposit initially

Answer

This is similar to the first one too.

A = P (1 + r)ᵗ

For this question,

A = 300

r = 6% = 0.06

t = 3 (4) = 12 (Since the interest is compounded quarterly, over 3 years; there are 4 quarters per year)

300 = P (1 + 0.06)¹²

300 = P (1.06)¹²

300 = P (2.0122)

2.0122P = 300

Divide both sides by 2.0122

(2.0122P/2.0122) = (300/2.0122)

P = 149.09

Hope this Helps!!!