Answer:
There are no true solutions to the equation
Step-by-step explanation:
The equation is
y+1=√-2y-3
Find y
Square both sides
(y+1)^2=(√-2y-3)^2
y^2+2y+1= -2y-3
y^2+2y+1+2y+3=0
y^2+4y+4=0
Solve quadratic equation by factorisation
we have
(y+2)(y+2)=0
y=-2
Check
y+1=√-2y-3
-2+1=√-2(-2)-3
-1=√4-3
-1=√1
-1=1
This is not true
There will be 36 squares in the 8th step of the pattern
<h3>How to determine the number of squares?</h3>
The pattern and the squares are represented as:
<u>Pattern Squares</u>
1 1
2 3
3 6
4 10
This can be rewritten as:
<u>Pattern Squares</u>
1 1
2 1 + 2
3 1 + 2 +3
4 1 + 2 + 3 +4
So, the number of squares on the 8th pattern is:
8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8
Evaluate
8th pattern = 36
Hence, there will be 36 squares in the 8th step
Read more about patterns at:
brainly.com/question/7882626
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<u>Answer-</u>
He needs to put $10345 in the account today, in order to get 15000 in five years.
<u>Solution-</u>
We know that,
Where,
A = future value of the investment with interest = 15000
P = principal investment amount
r = annual interest rate (decimal) = 7.5% = 0.075
n = number of times that interest is compounded per year = 4
t = the number of years the money is invested = 5
Putting the values,
Answer:
114 yards
456 yards
Step-by-step explanation:
Given that:
Area of square parking lot = 12,996 square yards
The lenght of one side of the parking lot :
Area of a square = a² ; a = side length
Hence ;
12996 = a²
√12996 = a
114 = a
Hence, length of one side = 114 yards
Yards of fence needed to enclose parking lot :
Perimeter of a square = 4a ; a = side length
Perimeter = 4(114)
Perimeter = 456 yards
Answer:
Step-by-step explanation:
