Let N be the number of years the citizen works.
Net income = (Salary per year) - (Tax rate * Salary per year)
Net income = $60,000 - (0.20 * $60,000)
Net income = $60,000 - $12,000
Net income = $48,000
Net income for N years = N * $48,000
Net income for N years = $48,000N
Therefore, the expression to determine how much their net income is for N years of working is $48,000N.
A citizen makes $60,000 a year and is paying taxes at a rate of 20%. write an expression to determine how much their net income is ( after taxes ) for n years of working. write your answer as a decimal to the hundredths place.
19 answers
Evaluate l^3 + m^2 + lm, when l = 3 and m = 8
Given l = 3 and m = 8, we can substitute these values into the expression l^3 + m^2 + lm:
l^3 + m^2 + lm
= 3^3 + 8^2 + 3*8
= 27 + 64 + 24
= 115
Therefore, l^3 + m^2 + lm evaluates to 115 when l = 3 and m = 8.
l^3 + m^2 + lm
= 3^3 + 8^2 + 3*8
= 27 + 64 + 24
= 115
Therefore, l^3 + m^2 + lm evaluates to 115 when l = 3 and m = 8.
A gym membership costs $29.95 per month plus a $15 sign-up fee. The expression 29.95m + 15 represents the total cost after m months. What is the total cost after one year? Express the solution to the nearest hundredths.
To find the total cost after one year, we need to substitute m = 12 (for 12 months in a year) into the expression 29.95m + 15:
Total cost after one year = 29.95 * 12 + 15
Total cost after one year = 359.4 + 15
Total cost after one year = 374.4
Therefore, the total cost after one year is $374.40.
Total cost after one year = 29.95 * 12 + 15
Total cost after one year = 359.4 + 15
Total cost after one year = 374.4
Therefore, the total cost after one year is $374.40.
A truck rental costs $2 per miles, m, driven plus a $24 rental fee. Translate the words into an algebraic expression.
The total cost 'C' of renting the truck can be represented by the expression:
C = 2m + 24
Where:
C = Total cost of renting the truck
m = Number of miles driven in the truck (variable)
C = 2m + 24
Where:
C = Total cost of renting the truck
m = Number of miles driven in the truck (variable)
The expression 5p is given. What is this expression translated into words?
The expression 5p can be translated into words as "Five times the number p" or "The product of five and p."
In the equation 9c = 18, the 9 is called a ___
A. term.
B. variable.
C. coefficient.
D. product.
A. term.
B. variable.
C. coefficient.
D. product.
C. coefficient.
In the equation 9c = 18, the number 9 is called the coefficient. The coefficient is the number that is multiplied by a variable in an expression or equation.
In the equation 9c = 18, the number 9 is called the coefficient. The coefficient is the number that is multiplied by a variable in an expression or equation.
What is the coefficient in the expression 9 + 8b - 56?
The coefficient in an expression is the numerical factor that is multiplying a variable or a constant term.
In the expression 9 + 8b - 56, the coefficients are:
- The coefficient of the constant term 9 is 1 (since it can be written as 1*9).
- The coefficient of the term 8b is 8.
So, the coefficients in the expression are 1 and 8.
In the expression 9 + 8b - 56, the coefficients are:
- The coefficient of the constant term 9 is 1 (since it can be written as 1*9).
- The coefficient of the term 8b is 8.
So, the coefficients in the expression are 1 and 8.
Which of the following shows the correct pairing of a property of operations and its example?
A. 2a + 3b = 3b + 2a; Distributive Property
B. 2 (a + 3) = 2a + 6; Associative Property
C. 2a + 3b = 3b + 2a; Commutative Property
D. 2 (a + 3) = 2a + 6; Commutative Property
A. 2a + 3b = 3b + 2a; Distributive Property
B. 2 (a + 3) = 2a + 6; Associative Property
C. 2a + 3b = 3b + 2a; Commutative Property
D. 2 (a + 3) = 2a + 6; Commutative Property
A. 2a + 3b = 3b + 2a; Distributive Property
In the example 2a + 3b = 3b + 2a, it illustrates the Distributive Property where the addition of the two terms maintains the same value even when the order is changed. This is the correct pairing of a property of operations and its example.
In the example 2a + 3b = 3b + 2a, it illustrates the Distributive Property where the addition of the two terms maintains the same value even when the order is changed. This is the correct pairing of a property of operations and its example.
Which expression is equivalent to xy - z(x + 3y + 1) - z + 2x?
A. xy - xz - 3yz + 2x
B. xyz - 2z - 3yz
C. xy - xz - 3yz - 2z + 2x
D. xyz - xz + 3yz - 2z +2x
A. xy - xz - 3yz + 2x
B. xyz - 2z - 3yz
C. xy - xz - 3yz - 2z + 2x
D. xyz - xz + 3yz - 2z +2x
To simplify the expression xy - z(x + 3y + 1) - z + 2x, we need to distribute the negative z inside the parentheses:
xy - zx - 3zy - z - z + 2x
= xy - 2z - 3zy + 2x
The expression equivalent to xy - z(x + 3y + 1) - z + 2x is B. xyz - 2z - 3yz.
xy - zx - 3zy - z - z + 2x
= xy - 2z - 3zy + 2x
The expression equivalent to xy - z(x + 3y + 1) - z + 2x is B. xyz - 2z - 3yz.
Which expression is equivalent to 2 - (3/5) [(1/3) + 2a] + (1 - 2a)?
A. -2a/5
B. (4a-16a)/5
C. (4a/5) + (22/15)
D. (14-4a)/5
A. -2a/5
B. (4a-16a)/5
C. (4a/5) + (22/15)
D. (14-4a)/5
To simplify the expression 2 - (3/5) [(1/3) + 2a] + (1 - 2a), we follow the order of operations:
1. Simplify inside the brackets:
(3/5) [(1/3) + 2a]
= (3/5) [1/3 + 6a / 3]
= (3/5) [(1 + 6a) / 3]
= (1 + 6a) / 5
2. Substitute the simplified expression back into the main expression:
2 - (1 + 6a)/5 + 1 - 2a
= 2 - 1 - 6a/5 + 1 - 2a
= 1 - 6a/5 - 2a
Combining the terms:
= 1 - 6a/5 - 10a/5
= 1 - 16a/5
= (5 - 16a)/5
Therefore, the expression equivalent to 2 - (3/5) [(1/3) + 2a] + (1 - 2a) is D. (5 - 16a)/5.
1. Simplify inside the brackets:
(3/5) [(1/3) + 2a]
= (3/5) [1/3 + 6a / 3]
= (3/5) [(1 + 6a) / 3]
= (1 + 6a) / 5
2. Substitute the simplified expression back into the main expression:
2 - (1 + 6a)/5 + 1 - 2a
= 2 - 1 - 6a/5 + 1 - 2a
= 1 - 6a/5 - 2a
Combining the terms:
= 1 - 6a/5 - 10a/5
= 1 - 16a/5
= (5 - 16a)/5
Therefore, the expression equivalent to 2 - (3/5) [(1/3) + 2a] + (1 - 2a) is D. (5 - 16a)/5.