Answer:
900
Step-by-step explanation:
We have, 4% × x = 36
4
or ----- × x = 36
100
Multiplying both sides by 100 and dividing both sides by 4,
100
we have x = 36 × -------
4
x = 900
If you are using a calculator, simply enter 36×100÷4, which will give you the answer
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
Answer:
X is 22.5°
Step-by-step explanation:
» Let's assume our diagram is as above, from trigonometric ratio:
- theta is X
- opposite is a
- hypotenuse is c
Answer:
33
Step-by-step explanation:
