Answer:
Step-by-step explanation:
Give the fractions a common denominator
11/13 + 4/7 = 77/91 + 52/91
= 129/91
To find the factor add and subtract the second term to the expression and factor by grouping.
(x^2-2)(x+1)(4x+5)
Answer:
AC = 22
Step-by-step explanation:
AB + BC = AC , substitute values
4x - 6 + 4 = 2x + 10 , that is
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22
Answer:
$50,281.04
Step-by-step explanation:
5 years is equivalent to (5 × 12) = 60 months
Now, the first payment $670 is compounded for 60 months at the rate of
% monthly interest.
So, it will become
.
Similarly the second payment of $670 will become 
Therefore, in this way after 60 months i.e. 5 years the total sum will be
= 
= ![670[1 + (1.0067) + (1.0067)^{2} + (1.0067)^{3} + ....... + (1.0067)^{59} + (1.0067)^{60} ]](https://tex.z-dn.net/?f=670%5B1%20%2B%20%281.0067%29%20%2B%20%281.0067%29%5E%7B2%7D%20%2B%20%281.0067%29%5E%7B3%7D%20%2B%20.......%20%2B%20%281.0067%29%5E%7B59%7D%20%2B%20%281.0067%29%5E%7B60%7D%20%5D)
= ![670[1 \times \frac{(1.0067)^{61} - 1 }{1.0067 - 1} ]](https://tex.z-dn.net/?f=670%5B1%20%5Ctimes%20%5Cfrac%7B%281.0067%29%5E%7B61%7D%20-%201%20%7D%7B1.0067%20-%201%7D%20%5D)
= $50,281.04 (Answer)
{Since, the sum of the G.P. series
}
Maybe Use A Ruler or a yard stick