The answer is 24/35. i would tell you to simplify but it is already in its simpliest form.
Answer: 51.86 and 23.14
Step-by-step explanation:
The rectangular garden must have a perimeter of 150 feet
Perimeter of rectangular garden =
2l + 2w=150 -----------1
The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.
Area of rectangular garden =
l×w= 1200 feet^2 -----------2
From equation 2, l=1200/w
Put l=1200/w in equation 1
2× 1200/w + 2w = 150
(2400/w) +2w = 150
(2400+2w^2)/w =150
2400+2w^2= 150w
2w^2- 150w+2400=0
Using the general formula
w = [-b+-√(b^2-4ac)]/2a
a = 2, b =-150, c=2400
w =[--150+/-√(-150^2-4×2×2400)]/2×2
=[150+/-√(22500-19200)]/4
=[150+/-√3300)]/4
=(150+57.45)/4 or (150-57.45)/4
w= 207.45/4 or 92.55/4
w= 51.86 or w= 23.14
l = 1200/51.86 or l= 1200/23.14
l = 23.14. or l= 51.86
For an area of at least 1200ft^2
The dimensions are 51.86 and 23.14
x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9
The correct answer is C.
You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.
f(x) = x^4 + x^3 - 2x^2
Since each term has at least x^2, we can factor it out.
f(x) = x^2(x^2 + x - 2)
Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.
f(x) = x^2(x + 2)(x - 1)
Now we can also separate the x^2 into 2 x's.
f(x) = (x)(x)(x + 2)(x - 1)
To find the zeros, we need to set them all equal to 0
x = 0
x = 0
x + 2 = 0
x = -2
x - 1 = 0
x = 1
Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.
The formula to use here would be:
A = P(1+r)^t where P is the principal (starting) amount, r is the rate of interest, and t is time. Knowing this, plug in your values:
A = 14,000(1+0.07)^4 once worked out, you should get $18,351.14414 < this is the total amount he would be paying at the end of 4 years. to find the interest, subtract this amount from the principal amount (14,000):
$18,5351.14414 - 14,000 = 4,351.14414 < this is the amount of interest. Round your answer.
Answer: Jamal will pain $4,351.14 interest.
