Inflation causes things to cost more, and for our money to buy less (hence your grandparents saying "in my day, you could buy a cup of coffee for a nickel"). suppose inflation decreases the value of money by 2% each year. in other words, if you have $1 this year, next year it will only buy you $0.98 worth of stuff. how much will $100 buy you in 15 years?

$73.85

Step-by-step explanation:

Data provided in the question:

Inflation rate = 2% = 0.02

Amount = $100

Time = 15 years

Now,

The reduced amount = Amount × (1 - Inflation rate)ⁿ

here, n is the time in years

Therefore,

on substituting the respective values, we get

The reduced amount = $100 × ( 1 - 0.02 )¹⁵

or

The reduced amount = $73.85

the correct answer is 5 6 and 7

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.