Answer:
y = -6x + 30
Step-by-step explanation:
The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0
After one week, you spend $6, so you will have y = 30 - 6 = 24 when x = 1.
With these pair of values, we can find the linear equation:
y = ax + b
for x = 0, y = 30:
30 = a*0 + b
b = 30
for x = 1, y = 24:
24 = a*1 + 30
a = 24 - 30 = -6
So, our equation is:
y = -6x + 30
The square root of 224 is: 14.9666295471
Answer: Each fundraiser need to raise $ 135.59 in order to purchase the new net and equipment.
Step-by-step explanation:
Money required = $ 842.36
Donation amount = $ 300.00
Amount left to arrange = (Money required - Donation amount )
= $ (842.36- 300.00)
= $ 542.36
Number of fundraisers = 4
Money required to arrange by each fundraiser = (Amount left to arrange) ÷4
= $ (542.36÷4)
= $ 135.59
Hence, each fundraiser need to raise $ 135.59 in order to purchase the new net and equipment.
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Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use 
in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
