7.5k views
21 votes
You want to buy a new computer for $1500. You only have $500 right now, so you decide to deposit the money into an account yeilding 5% interest compounded monthly, how long until you have enough to buy the computer

2 Answers

8 votes

Answer:

Twenty-two months (a year and ten months)

Explanation:

First, we have to find how much is 5% of 500

500 x 0.05 = 25

Next, you add it to 500

so after the first month, you will have $525

Then, we have to find 5% of 525

525 x 0.05 = 26.25

meaning that after the second month, you'll have $551.25

We keep on repeating these steps until we reach the desired amount.

month three:

$551.25 x 0.05 = 27.5625

551. 25 + 27.5625 = 578.8125

month four:

578.8125 x 0.05 = 28.940625

578.8125 + 28.940625 = 607.753125

month five:

607.753125 x 0.05 = 30.38765625

607.753125 + 30.38765625 = 638.14

month six:

638.14 x 0.05 = 31.91

638.14 + 31.91 = 670.05

month seven:

670.05 x 0.05 = 33.51

670.05 + 33.51 = 703.55

month eight:

703.55 x 0.05 = 35.18

703.55 + 35.18 = 738.73

month nine:

738.73 x 0.05 = 36.94

738.73 + 36.94 = 775.67

month ten:

775.67 x 0.05 = 38.78

775.67 + 38.78 = 814.45

month eleven:

814.45 x 0.05 = 40.72

814.45 + 40.72 = 855.17

month twelve:

855.17 x 0.05 = 42.76

855.17 + 42.76 = 897.93

month thirteen:

897.93 x 0.05 = 44.90

897.93 + 44.90 = 942.83

month fourteen:

942.83 x 0.05 = 47.14

942.83 + 47.14 = 989.97

month fifteen:

989.97 x 0.05 = 49.50

989.97 + 49.50 = 1039.47

month sixteen:

1039.47 x 0.05 = 51.97

1039.47 + 51.97 = 1091.44

month seventeen:

1091.44 x 0.05 = 54.57

1091.44 + 54.57 = 1146.01

month eighteen:

1146.01 x 0.05 = 57.30

1146.01 + 57.30 = 1203.31

month nineteen:

1203.31 x 0.05 = 60.17

1203.31 + 60.17 = 1263.48

month twenty:

1263.48 x 0.05 = 63.17

1263.48 + 63.17 = 1326.65

month twenty-one:

1326.65 x 0.05 = 66.33

1326.65 + 66.33 = 1392.98

month twenty-two:

1392.98 x 0.05 = 69.65

1392.98 + 69.65 = 1462.63

month twenty-three:

1462.63 x 0.05 = 73.13

1462.63 + 73.13 = 1535.76

So your final answer would be that it would take twenty-two months (a year and ten months) to have enough money to buy the computer.

p.s. sorry for the super long answer, I wanted to make sure you had the complete process. hope this helped!

User Jose Pose S
by
7.9k points
12 votes
5,600, it's basic math, ur welcome
User Takemyoxygen
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories