What single decimal multiplier would you use to increase by 1% followed by a 9% increase?

Explanation:

Let's say we had the starting amount of $100

Increasing this by 1% means we first take 1% of 100 to get 0.01*100 = 1, then we add it onto the original 100 getting us 100+1 = 101.

A shortcut is to multiply by 1.01; since 100% + 1% = 1.00 + 0.01 = 1.01

So 1.01*100 = 101

The multiplier shortcut is very handy if you want to chain together multiple percentage increases. If we want to tack on a 9% increase, we just multiply by 1.09 to get 1.09*101 = 110.09

The slower way would be to apply 9% to 101 getting 9.09, then adding that to 101.

Now let's go back to the starting amount $100

Multiply by the first multiplier 1.01 to get 1.01*100 = 101

Multiply by the second multiplier 1.09 to get 1.09*1.01*100 = 1.1009*100 = 110.09

The key difference in this section is how I multiplied out 1.01 and 1.09 first to get the new value 1.1009, which is the final combined multiplier. This effectively means the new price is 10.09% higher (after combining the 1% increase and the 9% increase) compared to the original $100.

Long story short, multiply the values 1.01 and 1.09 to get 1.1009

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.