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Question
c_{i}\left(a_{i}+b_{i}+\left(b\%\times k\right)\right)\%\times k
Simplify the expression
0.01c_{i}ka_{i}+0.01c_{i}kb_{i}+0.0001c_{i}k^{2}b
Evaluate
c_{i}\left(a_{i}+b_{i}+\left(b\%\times k\right)\right)\%\times k
Calculate
More Steps
Evaluate
b\%
\text{By definition }p\%=p \times 0.01
b\times 0.01
Use the commutative property to reorder the terms
0.01b
c_{i}\left(a_{i}+b_{i}+\left(0.01bk\right)\right)\%\times k
Multiply the terms
c_{i}\left(a_{i}+b_{i}+0.01bk\right)\%\times k
Calculate
More Steps
Evaluate
\left(a_{i}+b_{i}+0.01bk\right)\%
\text{By definition }p\%=p \times 0.01
\left(a_{i}+b_{i}+0.01bk\right)\times 0.01
Apply the distributive property
a_{i}\times 0.01+b_{i}\times 0.01+0.01bk\times 0.01
Use the commutative property to reorder the terms
0.01a_{i}+b_{i}\times 0.01+0.01bk\times 0.01
Use the commutative property to reorder the terms
0.01a_{i}+0.01b_{i}+0.01bk\times 0.01
Multiply the numbers
0.01a_{i}+0.01b_{i}+0.0001bk
c_{i}\left(0.01a_{i}+0.01b_{i}+0.0001bk\right)k
Multiply the terms
c_{i}k\left(0.01a_{i}+0.01b_{i}+0.0001bk\right)
Apply the distributive property
c_{i}k\times 0.01a_{i}+c_{i}k\times 0.01b_{i}+c_{i}k\times 0.0001bk
Use the commutative property to reorder the terms
0.01c_{i}ka_{i}+c_{i}k\times 0.01b_{i}+c_{i}k\times 0.0001bk
Use the commutative property to reorder the terms
0.01c_{i}ka_{i}+0.01c_{i}kb_{i}+c_{i}k\times 0.0001bk
Solution
More Steps
Evaluate
c_{i}k\times 0.0001bk
Use the commutative property to reorder the terms
0.0001c_{i}kbk
Multiply the terms
0.0001c_{i}k^{2}b
0.01c_{i}ka_{i}+0.01c_{i}kb_{i}+0.0001c_{i}k^{2}b
Show Solutions
Factor the expression
\frac{1}{10000}c_{i}k\left(100a_{i}+100b_{i}+bk\right)
Evaluate
c_{i}\left(a_{i}+b_{i}+\left(b\%\times k\right)\right)\%\times k
Calculate
More Steps
Evaluate
b\%
\text{By definition }p\%=p \times 0.01
b\times 0.01
Use the commutative property to reorder the terms
0.01b
c_{i}\left(a_{i}+b_{i}+\left(0.01bk\right)\right)\%\times k
Multiply the terms
c_{i}\left(a_{i}+b_{i}+0.01bk\right)\%\times k
Calculate
More Steps
Evaluate
\left(a_{i}+b_{i}+0.01bk\right)\%
\text{By definition }p\%=p \times 0.01
\left(a_{i}+b_{i}+0.01bk\right)\times 0.01
Multiply the terms
0.01\left(a_{i}+b_{i}+0.01bk\right)
c_{i}\times 0.01\left(a_{i}+b_{i}+0.01bk\right)k
Use the commutative property to reorder the terms
0.01c_{i}k\left(a_{i}+b_{i}+0.01bk\right)
Convert the decimal into a fraction
\frac{1}{100}c_{i}k\left(a_{i}+b_{i}+0.01bk\right)
Convert the decimal into a fraction
\frac{1}{100}c_{i}k\left(a_{i}+b_{i}+\frac{1}{100}bk\right)
Factor the expression
\frac{1}{100}c_{i}k\times \frac{1}{100}\left(100a_{i}+100b_{i}+bk\right)
Solution
\frac{1}{10000}c_{i}k\left(100a_{i}+100b_{i}+bk\right)
Show Solutions
