Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.
= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x = 
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.
Answer:
680x + 170
Step-by-step explanation:
calculate the product
4
x170 +170=
680x+ 170
Angle PMU= 56 Angle UPM=62
The amount you should put is 3846
<h3>How to determine the principal amount?</h3>
The given parameters are:
Amount, A = 4000
Rate, r = 8%
Time = 0.5 year i.e. 6 months
The amount on simple interest is calculated as:
A = P(1 + RT)
This gives
4000 = P * (1 + 8% * 0.5)
Evaluate the product
4000 = P * (1 + 0.04)
Evaluate the sum
4000 = P * (1.04)
Divide both sides by 1.04
P= 3846
Hence, the amount you should put is 3846
Read more about simple interest at:
brainly.com/question/20690803
#SPJ1
Answer:
The total sale price that Gechina paid was $5,274.71.
Step-by-step explanation:
Given that Gechina Galvez shopped at a department store during the end-of-summer sale in which all luggage was marked down 35 percent, and she purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8,000, and a tote bag that regularly sells for $39.99, in order to know the total sale price, the following calculation has to be made:
100 - 35 = 65
(8,000 + 74.95 + 39.99) x 0.65 = X
8,114.94 x 0.65 = X
5,274.71 = X
Therefore, the total sale price that Gechina paid was $5,274.71.
