Answer:
1(a)1,030,000+0.13x
(b)$1,030,026
2. (a)Base and Index
(b)See Explanation
Ste-by-Step Explanation
(a)Total Amount to be paid to the four actors
=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)
Collect like terms
=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x
[tex]\text{Total Amount Paid= }1,030,000+0.13x[/tex]
(b)When x=200
[tex]\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026[/tex]
Question 2
(a)The two parts of a power are the base and index.
Take, for example, the expression: [tex]a^b\\[/tex]
[tex]a$ is the base\\b is the index[/tex]
Another example using numbers is: [tex]10^3[/tex]
In this case:
[tex]10$ is the base\\3 is the index[/tex]
(b)Like terms are terms that have the same letter/variable attached to them.
For example, the following pairs are like terms
- 8x and 3x
- 4y and -9y
- 6pq and pq
- 3 and 3
These, however, are not like terms
