Let
x = base pay per month
y = commission per $1 of sales
Then the monthly pay for selling $100 of merchandise is
P = x + 100y
In one month, Alyssa earned $388 for selling $400 worth of merchandise.
Therefore
x + 400y = 388 (1)
In another month, she earned $520 for selling $1000 worth of merchandise.
Therefore
x + 1000y = 520 (2)
Subtract (1) from (2).
x + 1000y - (x + 400y) = 520 - 388
600y = 132
y = 0.22
From (1), obtain
x = 388 - 400y = 388 - 400*0.22 = 300
When Alyssa sells $3300 worth of merchandise, she earns
300 +0.22*3300 = $1026
Answer: $1026
Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
