Answer:
The amount invested at 3% is 300 &
The amount invested at 2% is 100.
Step-by-step explanation:
Total yearly interest for the two accounts is: $11
Let x be the amount invested at 3%
& y be the amount invested at 2%
From the question we can get 2 equations as;
x = 3y --------------------------Equation 1
0.03x + 0.02y = 11 ----------Equation 2
Substitute for x in Equation 2 we get;
0.03 (3y) + 0.02y = 11
0.09y + 0.02y = 11
0.11y = 11
Divide the above equation by 0.11, we get;
y = 
y = 100
Let us substitute the value of y in Equation 1 we get;
x = 3(100)
x = 300
Now to check our answer let us put in the simple interest formula. If we get the sum of the two interests equal to 11 then our answers are correct:
0.03 x 300 + 0.02 x 100
= 9 + 2
= 11
Hence the amount invested at 3% is 300 and the amount invested at 2% is 100.
Answer:
14 feet
Step-by-step explanation:
Let the shorter piece have length x.
Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.
Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.
Thus, the shorter piece is 14 feet.
I hope this helps! :)
Answer:........... x-variable