# the number of years would it take to use all the money and the number of years would it take to empty a suitcase filled with a billion ( 10 9 ) dollars.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.2, Problem 103E
To determine

## To find: the number of years would it take to use all the money and the number of years would it take to empty a suitcase filled with a billion (109) dollars.

Expert Solution

One million dollars were spent in 2.74years .

One billion dollars were spent in 2739.726years .

### Explanation of Solution

Given information:

If you had a million (106) dollars in a suitcase, and you spent a thousand (103) dollars each day.

Calculation:

The amount in a suitcase =$106 Amount spends for a day =$103

Number of days to spend total money

106103=1063byusingthequotientrule,aman=amn=103=1000days

Number of days per year =365

Number of years

1000365=2.74years

Therefore, one million dollars were spent in 2.74years .

If the amount in suitcase is \$109

Number of days to spend total money

109103=1093 byusingthequotientrule,aman=amn0=106=1000000days

Number of days per year =365

Number of years

1000000365=2739.726years

Therefore, one billion dollars were spent in 2739.726years .

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