Answer:
Step-by-step explanation:
1. 50,000 x .60
2. 50,000 x .60 = 30,000
She spends 30,000 dollars on expenses per year.
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]
To solve this problem, we must recall that the formula
for velocity assuming linear motion:
v = d / t
Where,
v = velocity
d = distance
t = time
For condition 1: bus travelling on a level road
v1 = d1 / t1
<span>(v2 + 20) = (449 – d2) / 4 --->1</span>
For condition 2: bus travelling on a winding road
v2 = d2 / t2
<span>v2 = d2 / 5 --->2</span>
Combining equations 1 and 2:
(d2 / 5) + 20 = (449 – d2) / 4
0.8 d2 + 80 = 449 – d2
1.8 d2 = 369
d2 = 205 miles
Using equation 2, find for v2:
v2 = 205 / 5
v2 = 41 mph
Since v1 = v2 + 20
v1 = 41 + 20
v1 = 61 mph
Therefore
<span>the
average speed on the level road is 61 mph.</span>
Answer:
166.72
Step-by-step explanation:
A= 2(wl+hl+hw)
A= 2(3.2×8.5+4.8×8.5+4.8×3.2)
A= 2(27.2+40.8+15.36)
A= 2(83.36)
A= 2×83.36
A= 166.72
