Answer:
3544
Step-by-step explanation:
This is a problem of compound growth. The formula is
Where F is the value in the future (in this case, the population after 13 years)
P is the intial amount (here, the initial population of 2000, so P = 2000)
r is the rate of growth (here, it is 4.5%, in decimal, 0.045)
t is the time frame (here, it is 13 years, so t = 13)
<em>we can plug the numbers into the formula and solve for F:</em>
<em>
</em>
<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>
Answer:
y = 3
Step-by-step explanation:
Substitute the given points into the function and solve for a and b
Using (2, 12)
12 = ab² → (1)
Using (5, 96)
96 = a
→ (2)
Divide (2) by (1)
= 
, that is
b³ = 8 ( take the cube root of both sides )
b = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute b = 2 into (1) and solve for a
12 = a2² = 4a ( divide both sides by 4 )
3 = a
Thus
y = 3 ← is the exponential function
Answer:
21
Step-by-step explanation:
average 9 pounds per three weeks
divide 9 in 3 three weeks
3 pounds per week
7 times 3 is 21
Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
