Answer:
The total salary of her is $1066666.66.
Step-by-step explanation:
Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.
To find : What was her total salary?
Solution :
Let x be the total salary.
Allison earns a $40,000 base salary.
If she sold $200,000 worth of goods.
i.e. the amount is $200,000-$40,000=$160,000
The total salary is given by,
$160,000=15% of x
The total salary of her is $1066666.66.
Answer:
Step-by-step explanation:
1) 5(2x + 3) + 3(x -4) = 25
Use distributive property
5*2x + 5 *3 + 3*x - 3*4 = 25
10x + 15 + 3x - 12 = 25
Add like terms
10x + 3x +15 - 12 = 25
13x + 3 = 25
Subtract 3 form both sides
13x = 25 - 3
13x = 22
x = 22/13
x =
2) Breadth = b m
Length = 5b - 4
Perimeter of rectangle = 40 m
2*(length + breadth) = 40 { Plug in the values of breadth & length}
2* (5b - 4 + b) = 40
2 * ( 6b - 4 ) = 40
2*6b - 2 *4 = 40
12b - 8 = 40 { add 8 to both sides}
12b - 8 + 8 = 40 + 8
12b = 48 { divide both sides by 12}
12b/12 = 48/12
b = 4 m
Breadth = 4m
Length = 5*4 - 4 = 20 - 4 = 16 m
Answer:
Option (2). x = 20°
Step-by-step explanation:
In the figure attached,
ΔABC is an equilateral triangle.
By the property of equilateral triangle, all sides of the triangle are equal and measure of all angles of the triangle is 60°.
By this property,
m∠B = 60°
and y = 46 - 16 = 30
By applying Sine rule in ΔBCD,
sin(∠CBD) =
= 0.6423
m∠CBD = 39.96
≈ 40°
m∠ABD = 60° - 40°
= 20°
Therefore, Option (2). 20° will be the answer.
