Annually: Total Amount= $1,611.76 Interest Amount= $711.76
Semiannually: Total Amount= $1,625.50 Interest Amount= $725.50
Quarterly: Total Amount= $1,632.62 Interest Amount= $732.62
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
If it is supposed to say <span>seven more bunches of tulips than roses, that would mean, if there are 35 bunches in all, and if each bunch had 12 of the same flowers.... that must mean each bunch had 12 flowers so, 12*1/2/35. 35/1/2 would be 35/0.5 that would equal... 17.5. so, 12*17.5= 210. if there was seven more added, than, 7/2= 3.5 and 12*3.5= 42. 210+42=252.
That means there are 252 tulips, i might be wrong (i probably am), i am just going by logic, lol
</span>
If a woman making $45 an hour gets a 10% eaise how much additional money is she making.
$4.5
45 x .1 = 4.5
Answer:
Step-by-step explanation:
Given that evolution theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.
Sample size n = 8
df = 8- 1=7
Since population std deviation is not known, and sample size is small we can use only t test
(two tailed test at 5% level of significance)
24
28
24
22
25
26
26
25
mean 25
sd 3.142857143
se 1.111167799
Test statistic = Mean diff/se = 1.595
p = 0.1546
since p >0.05, accept null hypothesis.
There is no evidence to prove that the steady cycle is different from 24 hours.
