Answer:
208
Step-by-step explanation:
Given that;
Given that;
y= a(1 - b)^t
Where;
wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
To obtain the constant b,
y= ae^-bt
Substituting values;
1000 = 3000 e^-b(50)
1000/3000 = e^b(50)
0.33 = e^b-(50)
ln (0.33) = ln(e^b(-50))
-1.1 = -50b
b= 1.1/50
b= 0.022
After two hours or 120 minutes;
y= 3000(1 - 0.022)^120
y= 207.8661772
y= 208
Answer:
45%
Step-by-step explanation:
Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0
deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)
so
dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))
domain is all real numbers greater than 0
derivitive is
4 fries + 6 cheeseburgers = $52
3 fries + 2 cheeseburgers = $24
9 fries + 6 cheeseburgers = $24×3
= $72
$72-$52=$20
5 fries = $20
1 fries = $20÷5
= $4
1 cheeseburger = [$24 - (3×$4)]÷2
= $6
Answer:
1. slope is -1 and y intercept is 2
3. slope is -2 and y intercept is -4
2. slope is -4 and y intercept is 2
4. this is not a line - it is a parabola
Step-by-step explanation:
1. -4y = 4x -8
y = -x + 2
3. 4y = -8x -16
y = -2x - 4
2. y = -4x + 2
4. y - 14 = -3x^2 -16x
y = 3x^2 - 16x + 4