Answer: 150 feet : 100 feet
Step-by-step explanation:
From the question, we are informed that the scale used by Eric was 1inch=5feet.
If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:
Length = 30 inches = 30 × 5 feet = 150 feet
Width = 20 inches = 20 × 5 feet = 100 feet
Therefore, the acual length and width of the gym would be 150 feet by 100 feet
The formula for the future value A, given annual interest rate r, number of years t, and deposit amount P can be written as
... A = P(1 +r/12)((1+r/12)^(12t) -1)/(r/12)
Filling in the given numbers, you have
... A = 200(1+.0275/12)((1+.0275/12)^(12·39) -1)/(.0275/12) ≈ 167,868.30
The appropriate choice is $167,868.30.
_____
The formula is the one for the sum of a geometric series. It can be useful to consider the last deposit made as the first term of the series.
The answer is 165. If you add 33 five times you get 165. Or you could do what i did and do 33 times 5.
We have that
4x²<span> – 24x+27=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² – 24x)=-27
Factor the leading coefficient
4*(x² – 6x)=-27
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>4*(x² – 6x+9)=-27+
36--------> missing piecesRewrite as perfect squares
4*(x-3)²=9
(x-3)²=9/4----> square root both sides----> (+/-)(x-3)=3/2----> missing pieces
+(x-3)=3/2------> x=(3/2)+3-----> x=9/2
-(x-3)=3/2-----> x=3-(3/2)-----> x=3/2
