From 1980 to 2000 the consumer price index increased from 82.4 to 172.2. if a jar of peanut butter cost $1.49 in 1980 and the price of peanut butter increased at the same rate as the cpi from 1980 to 2000 by approximately how much did the price of a jar of peanut butter increase from 1980 to 2000? a. 82 b. $1.72 c.1.62 or d. $3.11

The price of the peanut butter jar in 2000 is US$ 3.11 and it increased US$ 1.62 from 1980 to 2000. The correct answer is C. 1.62.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Customer Price Index 1980 = 82.4

Customer Price Index 2000 = 172.2

Price of a peanut butter jar 1980 = US$ 1.49

Price of a peanut butter jar 2000 = x

Price increased at the same rate as the CPI

2. Using Rule of Three we will find the  price of the peanut butter jar in 2000:

x * CPI 1980 = Price of the peanut butter jar in 1980 * CPI 2000

and now let's replace with the real values:

x * 82.4 = 1.49 * 172.2

x = (1.49 * 172.2)/82.4

x = 256.578/82.4

x = 3.1138

x = 3.11 Rounding to two decimal places

The price of the peanut butter jar in 2000 is US$ 3.11.

Now let's find how much it increased from 1980 to 2000:

Price in 2000 - Price in 1980

3.11 - 1.49 = 1.62

The price of the peanut butter jar in 2000 is US$ 3.11 and it increased US$ 1.62 from 1980 to 2000. The correct answer is C. 1.62.

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step-by-step explanation:

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2