Let x represent the amount invested at 6% and y the amount at 9%.
The equation x+y=8,500 leads to x=8500-y.
For the interest rates, we know 6%=0.06 and 9%=0.09.
The equation becomes 0.06x + 0.09y=667.5 (substituting for x to use only y).
Expanding yields: 0.06(8500-y)+0.09y=667.5.
Solving this gives us 510-0.06y+0.09y=667.5 (-510).
This simplifies to 0.03y=117.5 (/0.03), yielding y=$3916.67 for the 9% investment.
Thus, X=8500-Y results in x=$4583.33 for the 6% investment.
Step-by-step explanation:
I included the work done
No. 16.454 contains an extra digit at the end. If that final 4 were a 0, the two numbers would be equal.
Initially, you must determine the circle's circumference since one complete rotation corresponds to one length of the circumference. The formula to calculate circumference is C=2πr or C=πd; for a diameter of 1 meter, the circumference equals π1, which is simply π. Therefore, if it makes 8000 rotations, the distance traveled would be 8000π meters.
you can set this up with the equation;
x + (x + 42) = 138
start by combining like terms;
2x = 138 - 42
2x = 96
x = 96/2
x = 48
we've found x now plug it back into the original equation.
48 + (48 + 42) = 138
48 + 90 = 138
hope it helped...if you have any concerns just let me know:)
