Answer:
The new value after an increase
of £258 by 43 will be: 368.94
Step-by-step explanation:
As we have to increase £258 by 43 using the multiplier method.
Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.
Using the formula
n = 258 + percentage increase
[tex]=258+\left(43\%\:258\right)[/tex]
[tex]=258\:+\:43\%\:\times 258[/tex]
Factoring out 258
[tex]=\left(1\:+\:43\%\right)\:\times \:258[/tex]
as 1 = 100 / 100 = 100%
so
[tex]=\left(100\%\:+\:43\%\right)\:\times \:258[/tex]
[tex]=143\%\:\times \:258[/tex]
[tex]=\frac{143}{100}\times 258[/tex]
[tex]=\:\frac{143\times 258\:\:}{100}[/tex]
[tex]=\:\frac{36,894\:\:}{100}[/tex]
[tex]=368.94[/tex]
Therefore, the new value after an increase
of £258 by 43 will be: 368.94
