<span>Width = 6
Length = 30
We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression:
72 = 2*(L + W)
And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well:
L = 6 + 4*W
So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So:
72 = 2*(L + W)
72 = 2*(6 + 4*W + W)
72 = 2*(6 + 5*W)
72 = 12 + 10*W
60 = 10*W
6 = W
So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So:
L = 6 + 4*W
L = 6 + 4*6
L = 6 + 24
L = 30
And now we know the length as well.</span>
Answer:
(x,y) = (-5,1)
Step-by-step explanation:
USES SUBSTITUTION METHOD
Solving Steps:
x + 6 = -x -4 (Solve the equation)
x = -5 (Substitute the value of x)
y = -(-5) - 4 (Solve the equation)
y = 1 (Substitute the value of y)
Answer: (x,y) = (-5,1)
I hope this helped!!
Answer:
The rate is 2% per year.
Step-by-step explanation:
<em>It is given that sum to be $1200000.</em>
<em>The interest per year to be received is $24000.</em>
<em>Let the rate of interest be "r".</em>
The amount interest is given by the formula,
Thus the rate of interest is given by 2% per year.
Step-by-step explanation:
Here the deposited amount is considered as 'P'
The rate of interest is 'R'
The time is 'T'
P=$ 1000
R= 3%
T= 4 years
The simple interest can be calculated by,
Interest = (P x R x T) / 100
= ( 1000 x 3 x 4 ) / 100
= ( 12000) / 100
= $120
The simple interest for 4 years is $120
Total amount= P + Interest
= 1000 + 120
= $1120
So after 4 years the account will have $1120 .
