Complete question is;
A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.
After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?
Answer:
349 days.
Step-by-step explanation:
We are given;
Initial amount of adult beetles; A_o = 13
Amount of adult beetles after 35 days; A_35 = 26
Thus can be solved using the exponential formua;
A_t = A_o × e^(kt)
Where A_t is the amount after time t, t is the time and k is a constant.
Plugging in the relevant values;
26 = 13 × e^(35k)
e^(35k) = 26/13
e^(35k) = 2
35k = In 2
35k = 0.6931
k = 0.6931/35
k = 0.0198
Now,when the beetle population is 12000,we can find the time from;
13000 = 13 × e^(k × 0.0198)
e^(k × 0.0198) = 13000/13
e^(k × 0.0198) = 1000
0.0198k = In 1000
0.0198k = 6.9078
k = 6.9078/0.0198
k ≈ 349 days.
Answer:
Step-by-step explanation:
The formula for simple interest is
prt = I, where p is the initial investment, r is the interest rate in decimal form, t is the time it's invested for, and I is the interest earned. We multiply the p, the r, and the t together to get I. For us that looks like this:
(2.58)(.05)(4) = I and
I = .516 or 52 cents.
Answer:
m=21
Step-by-step explanation:
34=2m-8
34+8=2m
42=2m
42 / 2=21
m=21
Answer:
Step-by-step explanation:
Given
Shopper pushes a cart 50 m south down then turns 90 ^{\circ} west and moves 23 m.
he then makes 
turn and moves 14 m
(a)Largest possible displacement is when he turns towards south
Net displacement
(b)Smallest displacement when he turns towards north
