Answer:
Are you telling us to answer it all?
Step-by-step explanation:
Answer:
<em>Any width less than 3 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:
A = L.W
The first condition can be written as follows:
LW < 18
The length should be 3 feet longer than the width, thus:
L = W + 3
Substituting in the inequality:
(W + 3)W < 18
Operating and rearranging:
Factoring:
(W-3)(W+6)<0
Since W must be positive, the only restriction comes from:
W - 3 < 0
Or, equivalently:
W < 3
Since:
L = W + 3
W = L - 3
This means:
L - 3 < 3
L < 6
The width should be less than 3 feet and therefore the length will be less than 6 feet.
If the measures are whole numbers, the possible dimensions of the garden plot are:
W = 1 ft, L = 4 ft
W = 2 ft, L = 5 ft
Another solution would be (for non-integer numbers):
W = 2.5 ft, L = 5.5 ft
There are infinitely many possible combinations for W and L as real numbers.
The saving plan balance is $3,677.53.
Given that,
- The no of months is 18.
- The annual percentage rate is 3% so the monthly rate percentage is 0.25%.
- And, the monthly payment is $200.
Based on the above information, the following formula should be used:
FVA = PMT× [(1+r)^n - 1] ÷ r
= $200 × [(1+ 0.0025)^18 - 1] ÷ 0.0025
= $3,677.53
Therefore we can conclude that the saving plan balance is $3,677.53.
Learn more: brainly.com/question/14191332
Answer: 2/3
Step-by-step explanation:
5/9 and 5/6 doesn't have the same denominator. So 5/9 changes to 10/18, while 5/6 changes to 15/18.
10/18 divided by 15/18= 10/18 x 18/15 = 180/270
180/270= 2/3
Step-by-step explanation:
(x+3)(x-5)
= x²-5x+3x-15 = x²-2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again, (x-3)(x+5)
= x²+2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again , (x+3)(x²-4x+5)
= x³-4x²+5x+3x²-12x+15
= x³-x²-7x+15
But the given polynomial x³-15
So it is not the correct factorization.
So , optionD is the correct answer