Answer:
a). The company's percentage=60%
b). The total premium=$812.50
c). The company's payment=$487.50
Step-by-step explanation:
a).
The total premium can be expressed as;
T=H+R
where;
T=proportion of total premium
H=proportion paid by Harold Wagner
R=remaining proportion
In our case;
T=100%
H=40%
R=r
replacing;
100%=40%+r
r=100%-40%
r=60%
The company's percentage=60%
b).
The total premium, if 40%=$325.00
Let total premium be=t
40% of t=325
(40/100)×t=325
0.4 t=325
t=325/0.4
t=$812.50
The total premium=$812.50
c).
The company's payment=60% of total premium
The company's payment=(60/100)×812.5
The company's payment=$487.50
Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
Answer: number of tickets sold to adult = 566
Step-by-step explanation:
Let x = number of tickets sold by DCHS to students.
Let y = number of tickets sold DCHS to adults.
Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.
This means cost of total tickets sold to students and adults is $3x and $5y respectively.
If DCHS collected $3943 for the tickets, then we have
3x + 5y = 3943 - - - - - -1
The number of adult tickets sold was 195 more than the number of student tickets. This means
y = x +195.
Put y = x +195 in equation 1
3x + 5(x+195) = 3943
3x + 5x + 975= 3943
8x +975=3943
8x = 3943-975= 2968
x = 2968/8 = 371
y = 371 + 195= 566
