1.05/100*2500+2.5/100*440

asked by jerryjackroney
on Nov 23, 2024 at 9:49 am



You asked:

Evaluate the expression: \(\frac{1.05}{100} \cdot 2500 + \frac{2.5}{100} \cdot 440\)

MathBot Answer:

\[\frac{1.05}{100} \cdot 2500 + \frac{2.5}{100} \cdot 440 = \frac{149}{4} = 37.25\]

\[\begin{aligned}\frac{1.05}{100} \cdot 2500 + \frac{2.5}{100} \cdot 440& = \left(1 + \frac{5}{100}\right) \cdot \frac{2500}{100} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \left(1 + \frac{1}{20}\right) \cdot \frac{2500}{100} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{21}{20} \cdot \frac{2500}{100} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{21}{2000} \cdot 2500 + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{105}{4} + \left(2 + \frac{5}{10}\right) \cdot \frac{440}{100}\\& = \frac{105}{4} + \left(2 + \frac{1}{2}\right) \cdot \frac{440}{100}\\& = \frac{105}{4} + \frac{5}{2} \cdot \frac{440}{100}\\& = \frac{105}{4} + \frac{440}{40}\\& = \frac{105}{4} + 11\\& = \frac{149}{4}\end{aligned}\]

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