The median American household earned $9,387 in 1973 and $53,657 in 2014. During that time, though, the CPI rose from 44.4 to 236.7. Instructions: Enter your answer to the nearest whole number. a. What is the value of the 1973 median household income in terms of 2014 dollars

$50,042.86

Step-by-step explanation:

We want to calculate the real value of the 1973 household income in 2014 dollars.

To do this, we use the formula:

Real value = (Household income in 1973) * Final CPI / Initial CPI

The final CPI is the consumer price index in 2014 = 236.7

The initial CPI is the consumer price index in 1973 = 44.4

Therefore:

Real value = 9387 * (236.7 / 44.4)

Real value = $50042.86

The value of the 1973 median household income in terms of 2014 dollars is $50,042.86

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.