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William earns straight commission as a real-estate agent. Last month his total sales were R971 168, 00. If William earns a 3% rate of commission, what was his total income last month?
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QUESTION 2
2.1
Calculate William's commission.
Commission = 3% of R971 168.00
Commission =
Commission =
Commission = R29 135.04William's total income last month was his commission.
William's total income = R29 135.042.2
Determine the number of years the money will be invested.
Number of years () = Daughter's future age - Daughter's current age
yearsUse the compound interest formula .
Given:
Principal () = R5 900
Interest rate () = 7.5% = 0.075
Number of years () = 4Substitute the values into the formula.
Calculate the future value.
The amount in the bank when she is 21 years old will be R7 879.27.
2.3
2.3.1Evaluate the powers and division.
Evaluate the remaining power.
Perform the multiplication.
Perform the subtraction.
The value is .
2.3.2
Simplify the terms inside the parenthesis.
Continue simplifying the terms.
Square the fraction.
The value is .
QUESTION 3
3.1
3.1.1Apply the power rule and .
Multiply the terms, combining like bases using .
Express with positive exponents.
3.1.2
Simplify the term to .
Simplify the numerator and denominator inside the parenthesis.
Simplify the fraction inside the parenthesis using .
Apply the outer power of .
Express with positive exponents.
3.1.3
Expand the product of the two binomials using the FOIL method.
Distribute the 3 to each term inside the parenthesis.
3.1.4
Factor out the common term in the numerator of the first fraction.
Simplify the first fraction by cancelling .
Factor the denominator of the second fraction, which is a perfect square trinomial .
Multiply the terms and simplify by cancelling .
The simplified expression is .
3.2
3.2.1Recognize the expression as a difference of squares, .
Here, .
And .Apply the difference of squares formula.
3.2.2
Factor the quadratic trinomial .
We need to find two numbers that multiply to 14 and add up to 9.
These numbers are 2 and 7 ( and ).Write the factored form.
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