A yogurt company advertises that the capacity of its yogurt containers increased by 20%. If the old container had a capacity of c ounces, which expression can be used to find the capacity of the container?

1.2c

Step-by-step explanation:

increasing by a percent means you find the percent of the original, then add it to the original.  

so if 10 increases by 20% that means 20% of 10 is 2 so you add that to 10 so now it is 12.

you can write this out as x + x*.2 = x(1 + .2) = 1.2x.

So you just add 1 and the decimal form of the percent and multiply x by it.  in your case you have c though so the result is 1.2c

1.2c

Step-by-step explanation:

Increased by 20% means 120% of the previous

(120/100) × c

1.2c

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: