So he needs to sell $2,000 in merchandise.
<h3>what is the total value of merchandise he needs to sell?</h3>
We can assume that we have a proportional relation:
y = k*x
Where y is the commission and x is what Norman sells, then:
$15 = k*$200
k = $200/$15 = 0.075
$37.50 = k*$500
k = $500/$37.50 = 0.075
Then the relation is:
y = 0.075*x
If he wants a commission of $150, then:
$150 = 0.075*x
$150/0.075 = x = $2,000
So he needs to sell $2,000 in merchandise.
If you want to learn more about proportional relationships:
brainly.com/question/12242745
#SPJ1
Answer:
x=7
Step-by-step explanation:
1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
Because 0.09 is ten times as big as 0.009
Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
Substitute the given values.
(since r = h)
Divide by 3.14 on both sides.
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
The volume of the sphere is 63.85 cm³.
