Answer:
0.9%
Step-by-step explanation:
Given that:
A nest of ant is represented by the exponential growth function :
P(w)=24,000(1.063)^w
Where w = number of weeks
Recall :
Growth function is generally represented as :
P(t) = A(1 + r)^t
Where ; A is the initial population figure; r = growth rate and t = time
Hence, the growth rate per week of the function given is :
(1 + r) = 1.063
r = 1.063 - 1
r = 0.063
Number of days in a week = 7
Hence, growth rate per day = r /7
0.063 / 7
= 0.009
(0.009 * 100%) = 0.9%
Answer:
C ) She needs to save AT LEAST 20 months
Step-by-step explanation:
Half of her income each month is $250
m= months
250m ≥ 5000
m≥ 20
At x = -4 and -8
Take the derivative of the given equation to find rate of change of the graph.
f'(x) = 6x^2 + 72x + 192
At a horizontal tangent, f'(x) = 0, so set the equation equal to 0 and solve. Eventually you get x = -4 and -8
Answer:
(-1,-4)
Step-by-step explanation:
Because it is a rotation that turns both the x and y values the two swap places. The x value become negative because before it was in quadrant 4 where there was still a positive chance but rotating the point clockwise puts it into the third quadrant where there are only negatives.
Answer:
--- (a)
---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:
Solving (b):
Value of s when r = 14
Substitute 14 for r
Solve for 6s
Solve for s
