Let x = Amount invested at 2%
y = Amount invested at 9%
x + y = 34000 ×(-0.02)→ -0.02x - 0.02y = -680
0.02x + 0.09y = 2570 → 0.02x + 0.09y = 2570
add the equations 0.07y = 1890
divide by 0.07 both sides y = 27000
x = 34000 - 27000 = 7000
ANSWER:
Invested at 2%: $7000
Invested at 9%: $27000
Answer:
Solution:
Mouse ran 360 cm straight course race in 9 seconds.
We need to find the rate or speed of mouse
We know the speed formula is distance covered by given time.
Where,
Distance = 360 cm
Time = 9 seconds
speed
Speed=40 cm/s
Mouse ran with speed 40 cm/s
Answer:
7.14 Quarts of Liquid Fertilizer and
12.86 Quarts of Water
Step-by-step explanation:
Parts of Liquid Fertilizer Needed=5
Parts of Water Needed=9
Total=9+5=14
Therefore:
Proportion of Liquid Fertilizer Needed=5/14
Proportion of Water Needed=9/14
If she wants to make 20 Quarts of solution
Quarts of Liquid Fertilizer Needed=(5/14)*20=7.14 Quarts
Quarts of Water Needed=(9/14)*20=12.86 Quarts
Answer:
Degree 6
Step-by-step explanation:
Its the highest exponent.
Let m be the slope of the parallel lines, each having a slope of m
Then the distance between the parallel lines
= (difference in y-intercept)/sqrt(1+m^2)
For the given problem,
difference in y-intercept = 4-2=2
slope = m = -1
Distance between lines = 2/sqrt(1+(-1)^2) =2/sqrt(2)=sqrt(2)=1.41421
Answer: distance between the parallel lines = 1.41 (to the nearest hundredth)