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Mathematics

1 answer:

Katyanochek1 [597]3 years ago

6 0

Answer:

Step-by-step explanation:

Let's baby-step this to make it easy, ok? Begin by getting rid of all the fractions, which means we will eliminate the 3 from the 1/3 by multiplying both sides be 3:

$3V=\pi r^2 h$

If we want to eventually isolate the r, we need to move the h and the pi. Do this by division, since each of these is multiplied by r-squared. Doing that gives us:

$\frac{3V}{\pi h}=r^2$

Lastly, to undo a square, we have to take the square root. We will do that for both sides of the equals sign:

$+\sqrt{\frac{3V}{\pi h} }=r$

The positive is out front there to indicate that we don't want the negative value since distance is a measure that will never be negative.

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In 2007, the first generation of the i-phone sold for $499. The average cost of an i-phone today is $999. At a press conference

Gwar [14]

Answer: the statement made by Tim Cook is TRUE

Step-by-step explanation:

Given that;

in 2007 cost of 1st gen iphone = $499 (base year price)

cost of iphone today = $999 (current year price)

Using the Consumer Price Index

the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100

we substitute

CPI = (999/499) × 100

CPI = 200.2004

so the CPI is 100.2004% higher in the current year than in the base year

Checking the inflation rate

IR = (( CPI this year- CPI last year)/CPI last year) × 100

CPI last year (base year) = 100

CPI current year is = 100.2004

IR = (( 100.2004 - 100)/100) × 100

IR = 0.002004 × 100

IR = 0.2004%

THEREFORE the statement made by Tim Cook is TRUE

3 0

3 years ago

The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of