Compare the cube root of 75 and 420% using <, >, or =.
a) the cube root of 75 < 420%
b) the cube root of 75 = 420%
c) 420% > the cube root of 75
d) 420% < the cube root of 75
To compare the cube root of 75 and 420%, we need to find the value of each and see how they compare.
The cube root of 75 is approximately 4.21716328.
To find 420% of a number, we multiply the number by 4.20 (or move the decimal point two places to the right). So 420% of a number is equal to 4.20 times that number.
420% = 4.20
Comparing the two values:
a) the cube root of 75 < 420%
4.21716328 < 4.20
In this case, the cube root of 75 is less than 420%.
Therefore, the correct answer is:
a) the cube root of 75 < 420%