Answer:
Jenn's account has a greater simple interest rate.
Lindsey's interest in 1 year was $3
Jenn's interest in 2 years was $7.50 if you divide $7.50 by 2 the answer would be 3.75 therefore Jenn's account has the greater simple interest rate.
(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y
(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n
(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3
Answer:
The inequality
represents the length of the femur for which the woman had a height greater than 160cm.
Step-by-step explanation:
The given equation is

Where, h is woman's height in centimeters and f is length of the femur in centimeters.
If woman's height is greater than 160cm, then


Substract 60 from both sides.

Divide both sides by 2.5.

Therefore the inequality
represents the lengths of the femur for which the woman had a height greater than 160cm.
Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.