50/80 = 0.625
100 - 0.625 = 0.375
0.375 = 37.5% (move the decimal point to the right 2 spaces)
37.5% decrease is your answer
hope this helps
Answer:The amount of commission made is 144
Step-by-step explanation:
The department store worker gets paid 325.00 per week plus 4% commission of their total sales. This means that the worker's earning is not fixed. It varies with the amount of sales made
if the worker sells 3600 of the merchandise, it means that the worker's sales commission will be 4% of 3600 of the merchandise
Sales commission earned by the store worker = 4/100 × 3600
= 0.04 × 3600 = 144
Step-by-step explanation:
(a) ∫₋ₒₒ°° f(x) dx
We can split this into three integrals:
= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx
Since the function is even (symmetrical about the y-axis), we can further simplify this as:
= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx
The first integral is finite, so it converges.
For the second integral, we can use comparison test.
g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.
We can show that g(x) converges:
∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).
Therefore, the smaller function f(x) also converges.
(b) The width of the intervals is:
Δx = (3 − -3) / 6 = 1
Evaluating the function at the beginning and end of each interval:
f(-3) = e^(-9/2)
f(-2) = e^(-2)
f(-1) = e^(-1/2)
f(0) = 1
f(1) = e^(-1/2)
f(2) = e^(-2)
f(3) = e^(-9/2)
Apply Simpson's rule:
S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]
S ≈ 2.5103
A^2 - b^2 = (a - b)(a + b)
169x^2 - 64 = (13x - 8)(13x + 8)
Answer:
they sent about 260 / exactly 260
Step-by-step explanation:
Bonny's grandparents travel.
They sent her 138 cards from the United State, and 122 from Europe.
1. About how many cards have they sent her?
2. Exactly how many cards have they sent her?
138 + 122 = 260
