How high In mles Is a stack of nickels worth 7 milion dollars, assuming that the

Question

How high In mles Is a stack of nickels worth 7 milion dollars, assuming that the thickness of one nickel 1.09 mm? Step 1: Determine the number of nickels In 7 millon dollars. Step 2: Determine the height of the stack of nickels In mm. Submit Answer Tries 0/3 Step 3: Determine the helght of the stack of nickels in cm. Submit Answer Tries 0/3 Step 4: Determine the height of the stack of nickels in inches (in). Answer Tries 0/3 Step 5: Determine the height of the stack of nickels in feet (ft). bmit Anqwer Tries 0/3 Step 6: Determine the height of the stack of nickels in miles (mi). Submit Anewer Tries 0/3 Threaded View Chronological View Other

Explanation / Answer

Given

one nickel of thickness is t = 1.09 mm

we know that one dollar = 20 nickels ==> 1 nickel = 1/20 dollar

and the worth of the nickels is 7 million dollars = 7*10^6*20 = 140*10^6 nickels

step-1

7 million dollars = 7*10^6*20 = 140*10^6 nickels <<--- answer

step -2

each nickel dollar of thickness is 1.09 mm = 1.09*10^-3 m

so the height of the stack of nickel is 140*10^6*1.09 mm = 152600000 mm

step-3

height of the stack of nickel in cm is

152600000 mm = 152600000*10^-1 cm = 15260000 cm

step -4

height of the stack of nickel in inches is

we know that one inch = 30 cm ==> 1 cm = 1/30 inches

so 15260000 cm = 15260000 cm*(1/30)inches = 508666.67 inches

step -5

height of the stack of nickel in feet is

we know that 1 foot = 12 inches ==> 1 inch = 1/12 foot

that is 508666.67 inches = 508666.67 *(1/12) ft = 42388.89ft

step -5

height of the stack of nickel in miles is

converting the height from mm to m and to km to miles

152600000 mm = 152600000*10^-3 m = 152600000*10^-3*10^-3 km

and one mile = 1.609344 km ==> 1 km = 1/1.609344 miles

so

152600000*10^-3*10^-3 km = (152600000*10^-3*10^-3 )(1/1.609344) miles

height of the stack of nickel in miles is = 94.82 miles

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