Answer:
see below
Step-by-step explanation:
(ab)^n=a^n * b^n
We need to show that it is true for n=1
assuming that it is true for n = k;
(ab)^n=a^n * b^n
( ab) ^1 = a^1 * b^1
ab = a * b
ab = ab
Then we need to show that it is true for n = ( k+1)
or (ab)^(k+1)=a^( k+1) * b^( k+1)
Starting with
(ab)^k=a^k * b^k given
Multiply each side by ab
ab * (ab)^k= ab *a^k * b^k
( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)
Therefore, the rule is true for every natural number n
D. He will have $2,121.80.
After one year at 3% interst, $2000 becomes $2000 x 1.03 = $2,060.
During the second year, that $2060 x 1.03 becomes $2121.80
Answer:
Step-by-step explanation:
See attachment for graph
First, we need to take any corresponding values of x and y
Next, we calculate the slope (m)
Next, we calculate the line equation using:
Make y the subject
Hence, the line equation is:
Answer:
x=8
Step-by-step explanation:
6(x+20)=168
Divide each side by 6
6/6(x+20)=168/6
x+20 =28
Subtract 20 from each side
x+20-20 = 28-20
x =8
