Answer:
KL = 15
Step-by-step explanation:
Given that,
Point L is on the line segment KM.
We have, KM=5x+10, LM=4x, and KL=3x
ATQ,
KM = KL + LM
Putting all the values, we get :
5x+10=3x+4x
5x+10 = 7x
Taking like terms together
5x-7x=-10
-2x=-10
x=5
Put x = 5 in KL = 3x
KL = 3(5) = 15
So, the value of length KL is 15.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Answer:
$13,952.30
Step-by-step explanation:
refer to attached graphic
the formula for compound interest is given as
A = P [ 1 + (r/n) ] ^ (nt)
where
A = final amount (we are asked to find)
P = principal amount = $13,500
r = rate = 3.3% = 0.033
n = 12 (compounded monthly)
t = 1 year
substituting these values into the equation
A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]
A = 13500 [ 1 + 0.00275 ] ^ 12
A = 13500 [1.00275 ] ^ 12
A = 13500 (1.0335)
A = $13,952.30
There is a lot of numbers
Answer:
The answer is C.
Step-by-step explanation:
It is down 3 and it is not D. Just got it right too.