Answer:
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
The equation x² - 3x - 2 cannot be factorized, I think the correct question is:
factorize x² - 3x + 2
Solution:
A quadratic equation is a polynomial equation of the second degree (that is there is at least one term with a degree of 2).
The standard form of a quadratic equation is given by the equation:
ax² + bx + c = 0
Where a, b, and c being constants and x is the unknown variable.
Given:
x² - 3x + 2
= x² - 2x - x + 2
= x(x - 2) -1(x - 2)
= (x - 1)(x - 2)
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:
total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11
Answer:
yes, its a heptagon
Step-by-step explanation:
Answer:
1) k = 3
2) 3, 4, 5
3) k + (k + 2) + (k + 4) = 4k
4) 6, 8, 10
Step-by-step explanation:
Jared used the equation;
k + (k + 1) + (k + 2) = 4k
Let's find k.
3k + 3 = 4k
4k - 3k = 3
k = 3
Thus,the integers will be;
3, (3 + 1) and (3 + 2)
This is; 3, 4, 5
He is looking for consecutive even integers but yet got 3 and 5 which are odd numbers. However, he should have used the format;
k, (k + 2), (k + 4) as the 3 consecutive even integers.
Thus, rewriting the main equation gives;
k + k + 2 + k + 4 = 4k
3k + 6 = 4k
4k - 3k = 6
k = 6
Thus,the integers are;
6, (6 + 2), (6 + 4)
This is; 6, 8, 10
