Mathematics, 26.11.2019 18:31, bgallman153p71edg

Find the percent of increase in the number of area codes from 1999 to 2004. explain why knowing a percent of change can be more informative than knowing how much the quantity changed.

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answered: chrisimichaels7497

Here are two ways to calculate a percentage change, use the one you prefer:

Method 1Step 1: Calculate the change (subtract old value from the new value)Step 2: Divide that change by the old value (you will get a decimal number)Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign) Note: when the new value is greater then the old value, it is a percentage increase, otherwise it is a decrease.Method 2Step 1: Divide the New Value by the Old Value (you will get a decimal number)Step 2: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)Step 3: Subtract 100% from that Note: when the result is positive it is a percentage increase, if negative, just remove the minus sign and call it a decrease.ExamplesExample: A pair of socks went from $5 to $6, what is the percentage change?

Answer (Method 1):

Step 1: $5 to $6 is a $1 increaseStep 2: Divide by the old value: $1/$5 = 0.2Step 3: Convert 0.2 to percentage: 0.2×100 = 20% rise.

Answer (Method 2):

Step 1: Divide new value by old value: $6/$5 = 1.2Step 2: Convert to percentage: 1.2×100 = 120% (i.e. $6 is 120% of $5)Step 3: Subtract 100%: 120% - 100% = 20%, and that means a 20% rise.Another Example: There were 160 smarties in the box yesterday, but now there are 116, what is the percentage change?

Answer (Method 1): 160 to 116 is a decrease of 44. Compared to yesterday's value: 44/160 = 0.275 = 27.5% decrease.

Answer (Method 2): Compare today's value with yesterday's value: 116/160 = 0.725 = 72.5%, so the new value is 72.5% of the old value.
Subtract 100% and you get -27.5%, or a 27.5% decrease.

Why Compare to Old Value?

Because you are saying how much a value has changed.

Example: Milk was $2, now it is $3, did it rise $1 compared to $2 or $3 ?

We compare to the original $2 value, so we say the change is $1/$2 = 0.5 which is a 50% increase

answered: Guest

exactly you go it

step-by-step explanation:

answered: Guest

there is only one way to arrange all the eight $b's$ relative to each other because they are not distinct. we have

$\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }$

now there are nine places to place an $a$ (and not more than one $a$ in one place). because we have four $a$ symbols, we need to choose four of these nine places to insert an $a$ . order does not matter because the $a$ are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

$1\cdot c(9,4) = \dfrac{9! }{4! (9-4)! } = \dfrac{9\cdot8\cdot7\cdot6\cdot5! }{4! 5! } = \dfrac{9\cdot8\cdot7\cdot6}{4\cdot3\cdot2\cdot1} = 126.$

thus there are 126 ways to form such "words."

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Find the percent of increase in the number of area codes from 1999 to 2004. explain why knowing a pe...