Final # of pumpkins: 90
The final number of pumpkins is less than she hoped.
Answer:
Hence the confidence interval is ( 0.6745, 0.7422).
Step-by-step explanation:
Now the given are
Sample size = n = 1200
x = 850
Sample proportion is
We have to construct 99% confidence interval for the population proportion.
Formula Used:
Here E is a margin of error.
Zc = 2.58
So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)
= ( 0.6745 , 0.7422).
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = ![\frac{PMT}{r}[1-(1+r)^{-t} ]\\](https://tex.z-dn.net/?f=%5Cfrac%7BPMT%7D%7Br%7D%5B1-%281%2Br%29%5E%7B-t%7D%20%5D%5C%5C)
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA = ![\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]](https://tex.z-dn.net/?f=%5Cfrac%7B300%7D%7B0.005%7D%20%5B%201-%281%2B0.005%29%5E%7B-168%7D%20%5D)
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years
Answer: 10380cm^3
Explanation:
Find the volume of half cylinder:
V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3
Find the volume of the rectangle:
V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3
Find the volume of the whole shape:
V = 1980 + 8400
V = 10380cm^3
4(1-3n)-14>4(2n+3)-9n
4-12n-14>8n+12-9n
-12n-10>-n+12
-22>11n
-2>n
n<-2