Answer:
6
Step-by-step explanation:
Sum of first 4 numbers= 4*5= 20
This includes 3 + 4th number
Sum of last 4 numbers= 4*8= 32
This includes 4th number + 3
Sum of 7 numbers= 7*(6+4/7)= 46
This includes 3+4th number +3
Number common to both sets= (20+32)- 46 = 6
Answer:
<em>$1,846.9</em>
Step-by-step explanation:
Liability Insurance 50/100/25
Where 50/100=$310; and 25=$175. The equation is ($310+$175=<em><u>$485</u></em>)
Collision & Comprehensive Premiums
Where Deductible=$250; Collision=$185; and Comprehensive=$102. The equation is ($250+$185+$102=<em><u>$537</u></em>)
He gets a 25-29 aged male rating factor of 1.55 for each of them. Liability's equation is $310*1.55=<u>$</u><em><u>480.5</u></em>; and for Collision and Comprehensive the equation is $(185+102)*102=<em><u>$344.4</u></em>
Added all up (<em>$485+$537+$480.5+$344.4=</em><em><u>$</u></em><em>1,846.9)</em>
Step-by-step explanation:
the lines are all going through the origin (0, 0), so the y-intercept is the same (0) for all 4.
therefore, we only need to focus on the slope of the lines to see which two are identical.
the slope is the ratio "y coordinate change / x coordinate change" when going from one point to another on the line.
one point is for all 4 lines the origin, so the coordinate changes are the point coordinates themselves, and we only need to calculate y/x and see, which ones are equal.
105/15 = 7/1 = 7
150/12 = 50/4 = 25/2 = 12.5
120/10 = 12
96/8 = 12
so, C and D have identical slopes and therefore identical graphs, and have therefore the same costs of T-shirts.
B
25,000 x (0.95)*8 means the interest changes every year and the interest is calculated of the annual rate
Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) <u>Method 1:</u>
Simplify:
×5 on both sides:
Expand:
Bring constants to 1 side, w terms to the other:
Simplify:
Divide both sides by 3:
<u>Method 2:</u>
Multiply by 5 throughout:
Expand:
Simplify:
+9 on both sides:
-4w on both sides:
Simplify:
Divide by 3 on both sides:
3. 
Multiply by 3x on both sides:
Expand:
Simplify:
Divide by 6 on both sides:
-9 on both sides:
Factorise:
*Since a²-b²= (a +b)(a -b),
Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3
