Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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Prime= 19, 37, and 47
Composite= 9, 15, 26, 33, and 45
Hope this helps!
Answer:
$16
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.
Simple Interest = P x r x n
where P = Principal amount, r = Annual interest rate, n = Term of loan, in years
2% = 2 ÷ 100 = 0.02 so r = 0.02
Therefore,
Simple Interest = 400 x 0.02 x 2 = 16
So she will be paid $16 in the first two years.
Answer:
Step-by-step explanation:
1. (X) (x)
2. (x-) (x-)
3. Factor 24... 2 and 12, 3 and 8, 4 and 6
4. Which two will subract to make 2?
5. Pick 4 and 6
6. Plug it in
7. Get (x-6) (x-4)
