Answer:
. r=9 inches is the answer.
<span>The earnings by a stock invested at r% for n years is obtained by the formular A = P(1 + r)^n; where P is the initial investment = 1,500; r is the interest rate = 10% and n is the numberof years of the investment. Here A = 1,500(1 + 0.1)^18 = 1,500(1.1)^18 = 8,339.88.Hope this helps. Let me know if you need additional help!</span>
Answer:
where is the picture or graph
or something
Step-by-step explanation:
There are a various of ways solve this expression. We can choose to do completing the square method or to use the quadratic formula. In this case, I will choose to do completing the square. We do as follows:
<span>x^2 - 7x = -13
</span><span>x^2 - 7x + 49/2= -13 + 49/2
(x - 7/2)^2= 23/2
</span>√[(x - 7/2)^2]= √(23/2)
x-7/2 = √46 / 2
x = √46 / 2 + 7/2
Hope this answers the question. Have a nice day.
Let present age of women and her daughter be x and y respectively.
<u>According to the questi</u>on,
Case 1 :
Two years ago,
Woman age = ( x - 2 ) years
Her daughter age = ( y - 2 ) years
Woman was 7 times old as her daughter. [ Given ]
x - 2 = 7 ( y - 2 )
=> x - 2 = 7y - 14
=> x - 2 + 14 = 7y
=> x + 12 = 7y ....( i )
Case 2 :
After Three years ,
Woman age = x + 3
Her daughter age = y + 3
she would be 4 times old as the girl. [ Given ]
x + 3 = 4 ( y + 3 )
=> x + 3 = 4y + 12
=> x = 4y + 12 - 3
=> x = 4y + 9....( ii )
Now,
★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get
x + 12 = 7y
=> 4y + 9 + 12 = 7y
=> 21 = 7y - 4y
=> 21 = 3y
=> 3y = 21
=> y = 21/3
=> y = 7
And,
x = 4y + 9
★ Substituting the value of y in equation ( ii ), we get
x = 4 × 7 + 9
x = 28 + 9
x = 37
Hence, the present age of women is 37 years and her daughter age is 7.
