This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.
Convert all to decimals
1/4=0.25
1/2=0.5 so
2 and 1/2=2.5
3=3
-1 and 1/4=-1.25
4 and 1/4=4.25
1 and 1/4=1.25
-1 and 1/2=-1.5
add all together
2.5+3-1.25+4.25+1.25-1.5=8.25=8 and 1/4
answer is 8 and 1/4
B is correct answer
(note, previous user's answer was correct, but had no work shown)
55 is 55% of 100.
percents are based of of 100, so 55 would be 55/100 or 55%.
Answer:
total 1 hour 15 mins
Step-by-step explanation:
3:45 - 5:00
lets count one by one
3:45 - 4:00 = 15 mins
4:00 - 5:00 = 1 hour
total 1 hour 15 mins
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= 
= 
= 17,277.071448 ≈ $17,277.07
