DC :AB=3:2 can be written as
DC/AB=3/2
Then you can get the answers easily
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
This question shows you how to determine the amount of money Mr. Leonard makes in 4 weeks. It takes his total salary, divides it by 52 (there are 52 weeks in a year), then multiplies it by 4 (you need 4 weeks worth of pay).
This amount is shown as $6769.24.
He must pay the agency 22% of this, so change 22% to 0.22 and multiply it by the amount he makes in 4 weeks.
0.22 x 6769.24 = $1489.23
Mr. Leonard must pay the agency $1489.23 after the first 4 weeks.