Answer: 12 ft/s
Step-by-step explanation:
We are told the following function models Spot's height at time
:
(1)
And we are asked to find Spot's average rate of ascent, this means its velocity
, which is calculated by:
(2)
Where:
is the height of Spot at time 
is the height of Spot at time 
is the final time
is the initial time
So, firstly we need to calculate
and
:
(3)
(4)
(5)
Substituting these values in (2):
(6)
Finally:
This is Spot's average rate of ascent
$37.50. You multiply 6%x625 to get 37.5 which would be $37.50 in money.
I tried to send the picture vertically, but the bottom part was cut off. So I turned it horizontally. Please understand that.
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.
Answer: 1.6 quarts
Step-by-step explanation:
Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.
[40% can be written as 0.40.]
Then, the amount of antifreeze in radiator =
(1)
If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.
[60% can be written as 0.60.]
Then, the amount of antifreeze in radiator =
(2)
Now subtract (1) from (2) we get,
The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-

Hence, the 1.6 quarts of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze