Answer:
$13,695.98
Step-by-step explanation:
Continuously compounded interest formula:
where
A = future value
P = principal (present value of amount invested)
e = mathematical constant, the base of natural logarithms
r = interest rate
t = time in years
We have: P = 6154; r = 8% = 0.08; t = 10
Answer: $13,695.98
Y = 5x + 2
3x = y + 10
3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6
substitute x = -6 into y = 5x + 2
y = 5(-6) + 2
y = -30 + 2
y = -28
x = -6, y = -28
hope this helped, God bless!
Answer:
7(3x^2-6x+2)
Step-by-step explanation:
21, 42, 14 they can be divided by 7 so we put 7 out
Answer:
$12,000,000
Step-by-step explanation:
The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.
The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
_____
For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
