TABLE 3.4 Average Annual Consumer Price Index (1982-1984 = 100) Year CPI Year CPI Year CPI Year CPI 1977 60.6 1987 113.6 1997 160.5 2007 207.3 1978 65.2 1988 118.3 1998 163.0 2008 215.3 1979 72.6 1989 124.0 1999 166.6 2009 214.5 1980 82.4 1990 130.7 2000 172.2 2010 218.1 1981 90.9 1991 136.2 2001 177.1 2011 224.9 1982 96.5 1992 140.3 2002 179.9 2012 229.6 1983 99.6 1993 144.5 2003 184.0 2013 233.0 1984 103.9 1994 148.2 2004 188.9 2014 236.7 1985 107.6 1995 152.4 2005 195.3 2015 237.0 1986 109.6 1996 156.9 2006 201.6 2016 240.0 4. The average price of tuition and fees at public 4-year colleges and universities increased from$1,720 in 1990 to $6,600 in 2009. Calculate the relative change in price from 1990 to 2009 andcompare it to the overall rate of inflation as measured by the Consumer Price Index. Was thetuition increase greater or less than the overall rate of inflation? Clearly show your calculationsfor both the relative change in price from 1990 to 2009 and for the overall rate of inflation from1990 to 2009 and answer the question. 5. Suppose a test for a disease is 85% accurate for those who have the disease (true positives) and 85% accurate for those who do not have the disease (true negatives). Within a sample of 4000 patients, the incidence rate of the disease is the national average. Complete parts (a) through (c) below. Disease No Disease Total Tested positive 51 591 642 Tested negative 3349 3358 Total 60 3940 4000 a. Of those with the disease, what percentage test positive? b. Of those who test positive, what percentage have the disease?

Q: 3/20 + 13/15 combine.

A:

Q: 75 - 3.5y - 4y = 4y + 6

A:

Q: 4s +5 S -4

A:

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: Divide. 3x – 3 7x - 7 Sx2 24 (x - 1) 7x(x - 1)

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: C3x2 + – 4 kx - 5x- 6.

A:

Q: Solve the proportion. X-4 6 8

A:

Q: -7 5 1 9 0 -2 -1 2 -1 4

A:

Q: 3 1/4 + 7 1/8

A:

Q: Consider F(x) = = F(0) = 0 F'(3) = 6 F'(1) = 0 O F'(4) = 10 F'(2) = 2 I tf(t) tf(t) dt. Which of the…

A:

Q: find  3/4 + 1/8

A:

Q: 5 3 + s2-8 s2+ 3.

A:

Q: 4/11+3/8

A: Topic:- simplification

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: graph shows the relationship between the volume of the dilated box and the scale factor. diusuon 5.…

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: Simplify. (3 + 2x)(3-2x) 0 9+ 4x 09-4x² O 3-4x O9-4x

A:

Q: Expand (a −b)4

A:

Q: -11/6+3/4

A:

Q: 9x4 y4  x  x2  y2

A: Given:  9x4y4 × x2y2

Q: 7w/4 + 5 = 3w/10 + 1

A: To find the value of w satisfying the given equation

Q: 2/21 + -2/9.

A: 221+−29

Q: -5/9 + 1/2

A: The given expression is

Q: /2 2. 1/2

A: (a12+b12)(2a12-3b12)=2a12a12+2a12b12-3a12b12-3b12b12=2a+2a12b12-3a12b12-3b=2a-a12b12-3b

Q: Find A.

A: Given

Q: -2 -4 and D = 4 8

A:

Q: 13. Divide. (2? + 9x – 52) ÷ (x – 4) x + 13 0.-+ 1 – 4 + 4 O++13+ 4 2 x - 4

A:

Q: y +y - 2y = 0

A: Here we have to solve , the given differential equation  y"+y'-2y=0 ...........(1)

Q: 3 3/4 + 2 7/28

A:

Q: 6 1/6 + 6

A:

Q: 8 15 2 15

A: 8/15 -2/15 here simple substraction given and fraction is given  calculation is given inbelow

Q: Two and two

A: Given:   Two and two

Q: -11/16 + 3/4

A: The given fractions are,

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.