Question

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

Answer 1

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Let total be x

2% inc -->

2% of x --> 0.02x

So increased value = (1+0.02)x= 1.02 x

Now 1% Inc -->

1% of 1.02x =

$\frac{1}{100} \times 1.02 \\ 0.0002$

So total increased value -->

(1.02+0.0002)x = 1.0202 x

Total amount inc -->

(1.0202- 1)x -->0.0202

Single % inc -->

$\% = \frac{inc \: \: value}{old \: total \: value \: } \times 100 \\ \\ \% = \frac{0.0202x}{x} \times 100 \\ \% = 2.02\% \: \: ans \:$

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#2% valle

Answer 2

Answer:

1.0302

Step-by-step explanation:

2% increase= 1.02

1% increase= 1.01

1.02 x 1.01= 1.0302