Answer:
t = 1.94 seconds
Step-by-step explanation:
we have to solve the following polynomial equation:
-16t² + 60 = 0
16t² = 60
t² = 60/16 = 3.75
t = √3.75 = 1.936491673 seconds
the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option
Answer:
The question needs to state the radius of the styrofoam ball.
The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
Answer:
743.25m^2
Step-by-step explanation:
Area of triangle = 1/2bh
= 1/2 x 30 x 26
= 390
Area of semi circle = 1/2 πr^2
= 1/ 2 x 3.14 x 15 x15
=353.25m^2
= 390 + 353.25
= 743.25m^2
2250 + 6x = 16x
2250 = 16x - 6x
2250 = 10x
2250/10 = x
225 = x <=== they must sell 225 cameras to equal daily costs
if they increase production by 50.......x = 225 + 50 = 275
16(275) - 6(275) - 2250 = 4400 - 1650 - 2250 = 4400 - 3900 = 500.
Their daily profit would be $500.
