Equation for perimeter is 2L +2W
perimeter of the lot is 390 ft
so we have 390 = 2L +2w
divide all terms by 2:
195 = L + W
rewrite this as L = 195-W ( eq.1)
cost of fence for the length = 36 per foot so we have 36L
cost of fence for width = 6 per foot so we have 6W
the fence was 1 length and 2 sides
so we have 36l + 6w +6w = total cost
total cost is 4980
so we have 4980 = 36L + 6w +6w
combine like terms:
4980 = 36L +12w
replace L with eq1 from above:
4980 = 36(195-w) +12w
distribute:
4980 = 7020 -36w +12w
combine like terms:
4980 = 7020-24w
subtract 7020 from both sides:
-2040 = -24w
divide both sides by -24:
-2040 / -24 = 85
width = 85 feet
using eq1 L = 195 - 85
Length = 110 feet
lond = 110 feet
short = 85 feet
<h2>
Hello!</h2>
The answer is:
The cost of the watch is $19.39.
<h2>
Why?</h2>
To solve the problem, we can create a linear equation using the given information about the starting balance and the ending balance.
We know that the starting balance was $515.50, and then, after writing a check to buy the watch, the balance was $496.11, so, writing the function we have:
Hence, we have that the cost of the watch is $19.39.
Have a nice day!
Answer:
Area of label = 100 inch² (Approx.)
Step-by-step explanation:
Given:
Height of label = 8 inches
Diameter of label = 4 inches
Find:
Area of label
Computation:
Design of label = Rectangle
So,
Width of label = 2πr
Width of label = 2(3.14)(4/2)
Width of label = 2(3.14)(2)
Width of label = 12.56 inches
Area of label = Height of label x Width of label
Area of label = 12.56 x 8
Area of label = 100.48
Area of label = 100 inch² (Approx.)
Cosine is transformed in the form:
The amplitude is a
The period of cosine is:
And the phase shift is always by c, so that means our transformed functon in the form mentioned above looks like:
So our period is 
Our phase shift is by 
units to the right
and our amplitude is 3.
Answer:
the balance in the account after 20 years is $819
Step-by-step explanation:
The computation of the balance in the account after 20 years is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= $500 × (1 + 2.5%)^20
= $500 × 1.025^20
= $819
Hence, the balance in the account after 20 years is $819
