What single decimal multiplier would you use to increase by 2% followed by a 1% increase?

Suppose that you have an initial quantity A.

If you have an increase of X%, the new quantity (NQ) is written as:

NQ = A + A*(X%/100%) = A*(1 + X%/100%).

Now, if we have an increase of 2% then:

NQ = A*(1 + 2%/100%) = A*(1 + 0.02)

And no we have another increase of 1%, then:

NQ = (A*(1 + 0.02))*(1 + 1%/100%) = A*(1 + 0.02)*(1 + 0.01) = A*1.0302

The single decimal multiplier that you can use to increase by 2% followed by a 1% increase is 1.0302

$9.41

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116