Answer: 66%
Step-by-step explanation: or No Solution
1) 30 red and 20 blue
2) 36
The initial dimenssions of the park lot are:
length: 140 ft
width: 90 ft
initial area: 140 * 90 = 12,600 ft^2
Area increased 29% = 12,600 * 1.29 = 16,254 ft^2
width of the strips: x
New length: 140 + x
New width: 90 + x
New area: (140+x)(90+x) = 16,254
Solution of the equation:
12600 + 230x + x^2 = 16254
=> x^2 + 230x - 3654 = 0
Use the quadratic formula.
x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =
x = 14.92
The other solution is negative so it is discarded.
Answer: 15 ft
Answer:
Proved
Step-by-step explanation:
Given
Required
Prove by induction
Increment n by 1 on both sides
Simplify the right hand side
Group the left hand side
Recall that
----[Given]
So; Substitute for on the left hand side
Open All Brackets
Collect Like Terms
<em>Notice that the expression on both sides are equal;</em>
<em>Hence, the given expression has been proven</em>
3) Take the original price and subtract the original price * the discount percentage
99.50 - (99.50 * 0.50)
99.50 - 49.75
49.75
Option C is your answer.
4) Take the original price and add the original price * the tax rate
99.50 + (99.50 * 0.04)
99.50 + 3.98
103.48
Option D is your answer.
5) Take the original price and add the original price * the markup rate
3.95 + (3.95 * 0.20)
3.95 + 0.79
4.74
Option D is your answer.