Question #22a7a

1 Answer
R. Nguyen
Jan 12, 2018

The new yearly salary will be $16800.

Explanation:

#16000 + 16000 * 5%#

We may now factor out our initial value of #16000#.

#16000 * (1 + 5%)#

And because #1 = 100%#:

#16000 * 105%#

#16000 * 1.05#

#16800#

In fact, this process is not specific to this case or situation. Whenever we have some percentage change and the initial value, we may calculate the final value.

Let #v# represent the initial value.
let #r# represent the change as a percentage.

Our final value can be expressed as follows:

#v + v*r/100#

Once again factoring out #v#,

#v * (1 + r/100)#

#v * (100 / 100 + r/100)#

#v * (100+r)/100#

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