Given expression:
We need to add the given rational expressions.
First step: Combined like terms in the numerator and kept the common denominator.
Second step they applied : Canceling the like term x^2 and got
Note: We can't cancel like terms in top and bottom like this.
We can cancel out common factors in top an bottom.
<h3>Therefore, Micah did not add the expressions correctly.</h3>Answer:
AB = 10π
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
= 2π × 12 × ← cancel 12 on numerator/ denominator, leaving
AB = 2π × 5 = 10π
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.