Answer:
A = 23.6 units^2
Step-by-step explanation:
Let the base be 8 (as shown).
Find the height of the triangle: Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees. The side "opposite" this 80-degree angle is the height of the triangle:
height
sin 80 degrees = ---------------
6
and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.
The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:
A = (1/2)(8 units)(5.91 units), or
A = 23.64 units^2, or A = 23.6 units^2
9514 1404 393
Answer:
$6307.95
Step-by-step explanation:
The compound interest formula can help with that.
A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.
P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95
Momba needs to deposit $6307.95 today to have $8000 in 6 years.
Answer:
R = 2 % per annum.
Step-by-step explanation:
SI = (P*T*R) /100
$1000 = ($10000 * 5 yrs *Rate) /100
Answer: 1,004.8 cubic meters (choice D)
Work Shown:
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*8^2*15
V = 1,004.8
Answer:
The number of tickets must be sold is 2500
Step-by-step explanation:
The charge for each ticket = $ 5
The concessions amount = $ 1400
The amount paid to players = $ 2000
The amount paid to workers = $ 1600
The cost of each bag given to each fan = $ 3 per bag
Let The number of tickets sold = x
Now, number of ticket sold = number of fans = x
So, According to question
( charge per ticket × number of fans - cost of each bag × number of fan - concession amount ) = amount paid to players + amount paid to workers
Or, $5 x - $3 x - $1400 = $2000 + $1600
Or, $2 x = $3600 + $1400
Or, $2 x = $5000
∴ x = 
= 2500
Hence Answer
