Let's say the savings in your account are given by $V, the number of weeks by n and the starting balance by $x:
V = x + 200n
Now if after saving for 4 weeks you have $1700 in your account, then:
1700 = x + 200*4
1700 = x + 800
x = 900, thus your starting balance is $900
Using this information we can now write up the general equation for the savings at the end of each week:
V = 900 + 200n
First, add or subtract all variables
y2 + 4y - 16y + 3y = -7y
-7y + 2 is your answer
Question:
What are the options to choose from?
The answer is d :) hope it helped
9) It helps to draw a picture. Since one angle is 60°, the other angle is 120°. When you draw the ddiagonal lines, you will see that you end up with a 30°-60°-90° triangle where √3 is the hypotenuse. The longest diagonal will be across from the 60° angle, which will be length a√3. The length of the hypotenuse is 2a. (Remember: a, a√3, 2a are lengths for this special triangle)
2a = √3 → a = √3/2.
side across from 60° = a√3 = (√3/2)·√3 → side from across 60° = 3/2
Remember that this is only one-half of the diagonal of the rhombus so multiply that by 2.
Length of longest diagonal is 3.
10) Volume of a square pyramid = (1/3) B · h, where B is the area of the base
200 = (1/3)B(12)
50 = B
Since the base is a square, then each side is √50 (which equals 5√2).
Now, to find the lateral edge, use Pythagorean Theorem (a² + b² = c²).
Height (a) = 12, base (b) = 5√2, and lateral edge (c) is unknown.
(12)² + (5√2)² = c²
144 + 50 = c²
194 = c²
√194 = c
Lateral edge is √194.
