We have to set up 2 equations:
A) x + y = 10 liters
B) .05x + .25y = 10 * .10
Multiply equation B) by -4
B) -.2x - y = -4 then add to equation A)
A) x + y = 10 liters
.8x = 6 liters
x = 7.5 liters of 5%
y = 2.5 liters of 25%
3/5a = 1/4....multiply both sides by 5/3, cancelling out the 3/5 on the left
a = 1/4 * 5/3
a = 5/12
Answer:
$4,750.
Step-by-step explanation:
To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:
X = 1,600 x (1 + 0.115) ^ 10
X = 4,751.91
Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.
If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am. the beginning temperature at 5:00 am if the temperature at 9:00 am was -10.f is 18.f.
<h3>
Beginning temperature</h3>
Dropped in temperature=7.t
Number of hours= 5:00 am to 9:00 am=4 hours
Temperature at 9:00 am=-10.f
Hence:
Beginning temperature can be calculated as:
Beginning temperature=(4× 7) + (-10)
Beginning temperature=28 + (-10)
Beginning temperature= 18.f
Check:
Since temperature dropped by 7.f each hour from 5:00 am to 9:00 am
which implies that temperature 7.f dropped for 4 hours.
Hence:
18-7-7-7-7=-10.f
Therefore If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am. the beginning temperature at 5:00 am if the temperature at 9:00 am was -10.f is 18.f.
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Answer:
( 1, -2)
step-by-step explanation:
- original coordinates of C: (4, -2)
if reflected over y-axis: use the formula: (x,y) → (-x,y)
- new coordinates: (-4, -2)
then if translated 5 units horizontally, there will be change in x axis:
- new coordinates: (-4+5, -2) → ( 1, -2)