Answer:
(4, - 0.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[
,
]
Here (x₁, y₁ ) = C(1, - 6) and (x₂, y₂ ) = D(7, 5) , then
midpoint = (
,
) =
,
) = (4, - 0.5 )
When it will hit the ground then height is 0
<span>h(t)=-16^2+250
-16^2+250=0
16t^2=250
t^2=250/16
t=3.95 seconds
i hope this is right</span>
14.81 radians/second
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
First, factorize the number 3,240:

So,

Now consider the fraction

If k = 10, then

is a square number.
For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).
Or you can simply check the values of the fraction for all k < 10:
- k = 1,
is not a square number; - k = 2,
is not a square number; - k = 3,
is not a square number; - k = 4,
is not a square number; - k = 5,
is not a square number; - k = 6,
is not a square number; - k = 7,
is not a square number; - k = 8,
is not a square number; - k = 9,
is not a square number.
Total cost of the house = $215,000
Amount financed through mortgage = $189,375
Amount paid through other means (such as cash) = 215,000-189,375 = $25,625
Rate = 6.1% = 0.061
Number of years = 15 years
Monthly payment, M = P[i(1+i/12)^12*15]/[(1+i/12)^12*15 -1] = 189,375[0.061/12(1+0.061/12)^12*15]/[(1+0.061/12)^12*15 - 1] = $1,608.30
Total amount paid = $25,625 + (M*12*15) = $25,625 + $289,494.56 = $315,119.56
Seems the options given don't match the correct answer.