We know that the interest decreased by 29.3%, therefore
what was left now is simply just 70.7% of the original, therefore we divide
this by 0.707
rate = 7.7% / 0.707
rate = 10.89%
<span>So the rate was 10.89% 10 years ago</span>
We observe that 20 is 4 more than twice 8. This suggests the time is 1 hour and the rates are
... scooter: 20 mi/h
... bicycle: 8 mi/h
_____
You can let b represent the rate of the bicycle in miles per hour. Then we have (for time in hours and distance in miles) ...
... time = distance/speed
... time = 20/(2b+4) = 8/b
... 20b = 8(2b+4) = 16b +32
... 4b = 32
... b = 8
The rate of the bicycle is 8 mph; that of the scooter is 2*8+4 = 20 mph.
Answer:
The solution would be (-4, -2)
Step-by-step explanation:
To find this simply add the two equations together.
-9x+7y=22
9x-5y=-26
----------------
2y = -4
y = -2
Now we have the y value, we can solve for the x value.
9x-5y=-26
9x-5(-2)=-26
9x+10=-16
9x=-36
x = -4
Answer:
The investment required is: $5687
Step-by-step explanation:
Future Amount A= $7000
Rate r = 6% =0.06
Time t = 4
Compounded Weekly = n= 52
We need to find Principal Amount P
The formula used is: 
Putting values and finding P

So, The investment required is: $5687
Answer:
A
Step-by-step explanation: